How do you figure things out? Ways for Self Learners.

Content-Type: multipart/related; start=; boundary=----------cvhly7HsWSwjKHWKHzfLB1 Content-Location: http://www.selflearners.net/ways/index.php?d=All Subject: =?utf-8?Q?How=20do=20you=20figure=20things=20out=3F=20Ways=20for=20Self=20Learners.?= MIME-Version: 1.0 ------------cvhly7HsWSwjKHWKHzfLB1 Content-Disposition: inline; filename=index.htm Content-Type: text/html; charset=utf-8; name=index.htm Content-ID: Content-Location: http://www.selflearners.net/ways/index.php?d=All Content-Transfer-Encoding: Quoted-Printable How do you figure things out? Ways for Self Learners.<= tr>

How do you figure things out?

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= = <= td bgcolor=3D"#BBBBBB"><= td bgcolor=3D"#000000"><= td>

Avoiding Evil = ; Avoiding evil. Acknowledge what is evil or futile and stay= away from it.30=

Allow for real learning = 588<= /p>

= Appreciate futility Conversing with: redirection Grow= ing up, and seeking to know everything, I used to think that I could kno= w human affairs from political science, which I could know from sociolog= y, which I could know from psychology, which I could know from biology, = which I could know from chemistry, which I could know from physics, whic= h is based on mathematics. I was very interested to take high school ph= ysics and learn about the fundamental constituents of the universe. But= the small bit that I surmised was that at the quantum level, reality it= self seems to fade away, as if to say, you aren't meant to find anything= here! And at that time, in the 1980's, it seemed that it would take bi= llions of dollars of equipment and hundreds of scientists just to partic= ipate in the smallest way. So I concluded that if I am to know everythi= ng, God must make that possible.785

= ; Consider what others avoid knowing I decided that if I am to poss= ibly know everything, then God must make that knowledge easy to find and= intuit. But others have not yet found it. So it must be a place where= people could look, but choose not to. I surmised that it must be the w= isdom of life, for there is no science of how to live our lives. Few pe= ople seem to wish that there be such a science. 1102

= ; Who = wants to listen to God? In 1= 995, just as I was preparing to engage others to make my philosophy prac= tical, and so developing the good will exercises, I was inspired by Kang= ning Liou, who would pray for an hour every morning. I thought I should= certainly pray more, but especially if I am to lead and even influence = people, I need to be able to converse with God and listen to God. I tho= ught that if this was possible for me, then it should be possible for ot= hers as well. Yet few people seem to hear God. Then I realized that fe= w people want to hear God for they would then be accountable to obey him= .1104

= Hang out with the disobedient&n= bsp; Conversing with: conditional rightness I was a good kid, but would charge myself to hang out with disobedient= or rebellious kids, to know about their life, to round out my knowledge= . I learned what was meaningful about being "cool".799

        = ;  Have rapid cycles of learning&= nbsp;     When I started my laboratory, Minci= u Sodas, in 1998, I was living month-to-month, even week-to-week, not ce= rtain what I would try next. I think I learned a lot this way because I= had very rapid and flexible cycles of learning. I had long term rhythm= s in my life for what I knew was important, but a snappy cycle for respo= nding to opportunities.1106

        = ;  Live closer to real life =      After getting my Ph.D., I chose not to p= ursue an academic career because I wished be closer to "real life". I m= oved to my grandmother's house and lived with her in a Chicago neighborh= ood, Marquette Park, which had "changed over" and gangs of Black-America= n youth were establishing themselves. 1105

        =   Live precariously if that is more frui= tful     Conversing with: spiritual s= tagnation I grew up in a Southern Californian suburban utopia, comfo= rtably, in a loving family. But I learned to "live on top of a question= mark", as some of us say in Lithuanian. Live without assurance of inco= me or in a neighborhood that others might not consider safe.788

        = ;  Suppose that God will make things doa= ble      As a high school student= I came to think that physics at the quantum level simply fades the way,= and so is not a foundation for knowledge of life. So I concluded that = if I am to know everything, God must make that possible. The truth must = be at hand, easy for me to find, as if I was to search for a lost key at= the foot of a lamp post, where the light happens to be best.1103

     Avoid real harm      589

        =   Avoid pointless debate &nb= sp;   Conversing with: true knowledge I have lost = interest in debate because I have seen it driven primarily by people's e= go and desire to "win", without an interest in appreciating, including a= nd reconciling with other points of view, or discovering the essence or = the truth, as if without a belief that it truly existed and was there to= be found. At best, it is a waste of time, but it can also suck us into= fruitless "hot button" topics. In watching debate, I note the clash of= perspectives, as structured by divisions of everything, but I find it m= ore productive to consider these clashes more calmly and starkly. Avoid= ing such debate, I have discovered ways to make progress, such as invest= igations, focusing on what we don't know but would like to know, rather = than what we already think we know.774

        =   Avoid whatever is unsafe &= nbsp;   Conversing with: possible misfortune As a = child, I was always extra careful to stay away from anything that might = injure me, such as saws and machinery. I still am. I don't play with d= anger.789

        =   Hand evil over to Jesus &n= bsp;   Conversing with: lack of necessity I rarely= have thoughts of the devil, but when I do, I simply say that Jesus has = already defeated the devil, and I push them aside.<= a href=3D"http://t.co/ju1KSid#792">792

        = ;  Ignore the devil  &n= bsp;   I ignore the devil because I want to live positi= vely, I want to grow positive, and I don't think the devil is relevant. = I thereby learn that the devil isn't relevant, at least not for me to l= ive and grow and give fruit forever.1111

        = ;  Not to destroy what I treasured      In 1992, I was very sad because t= he woman I had loved with all my heart had returned home to Lithuania an= d married a man she loved. I had so many feelings for her. Indeed, I s= tayed in love with her for about seventeen years. Early on, I thought, = maybe I should kill my feelings for her. But I refused. They were my h= onest feelings that I felt for her. I wasn't going to dampen them. I w= asn't going to look for her faults. I wasn't going to diminish myself, = who I was and who I could be. I stayed true to them.1231

        = ;  Stay away from what can harm but can'= t be necessary      I stay away f= rom drugs and am not curious about them. I would tell myself that they = can't be necessary for my quest and so they can only hurt me. I stay aw= ay from those who want to be degenerate, who want to descend into ruin, = who want to involve me in their dysfunctionality.1110
Leaving     = 155=

        =   Leaving    = 4= 52
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Giving     = 1096
<= td bgcolor=3D"#FFF380"><= td bgcolor=3D"#EAC117">Believing     = ;Referencing the absolute within us. Isolate what is most essenti= al, what grounds everything else, what I truly want, what I love most in= tensely. What do I truly want?36

     What can't be dismissed     Conve= rsing with: depths 530

        = ;  Accepting God's assertion = ;     I am in love with a woman who God told = me I will marry. I don't pray that she marry me because God assures me = that she will. I prayed with her that her aunt get well from cancer and= God consistently assured me that she would. I asked if I should keep p= raying, if I should offer myself to him in some way, but he said no. Sh= e died, though. Yet they reported that just before she died she bore wit= ness that God truly is, that he had greeted her, and she said that she l= oved them all very much, and she passed away. I didn't know what to mak= e of this, and when I ask God, he doesn't say.1233

        =   Discard the unessential     Conversing with: my depths= We can ask ourselves, what is truly essential, and discard everything t= hat is not, so that what remains is indeed essential. Descartes doubted= everything, and was left with doubting. Kant imagined removing all obj= ects and being left with time and space. 590

        =   Respect seriousness  =    Conversing with: importance When I was little, = our mother pulled us aside one day and briefly taught us about God and J= esus and how to make the sign of the cross. I appreciated that she was = very serious and that there must be something real to it if she was so. = I couldn't dismiss her utmost seriousness. God must be at least a possi= bility.771<= /span>

        = ;  What can or can't be removed?&= nbsp;    Conversing with: the unthinkable As = a freshman at the University of Chicago, I was trying to explain how the= concept of everything was an absolute. We seem to all have the = concept, but perhaps others might not. One question that helped was to = ask whether we could get rid of the concept of everything? My personal = answer is no, I don't conceive of how I could let go of such a concept. = Thus this supports the property of everything that it is a required con= cept.1224<= /span>

        = ;  What must I believe? &nbs= p;   Conversing with: my ability to believe As a c= hild, I pondered, what must I accept and believe so that I don't go astr= ay in my thinking? and think evil things? I thought I should believe, a= s Jesus teaches, to believe God, and then also, to love my neighbor as m= yself, and for good measure, to believe that Jesus is God.1222

     What includes everything     Con= versing with: everything 1226

        = ;  What does everything depend on?     Conversing with: all that follows = Jesus taught that the whole law and the prophets depends on "Love God wi= th all of your heart, with all your soul, and with all your mind" and "L= ove your neighbor as yourself".1220

        = ;  What encompasses everything?&n= bsp;    Conversing with: everything As a chil= d, I wondered how to apply myself. What was most important? I valued kn= owledge and I thought it was the key to all things. I thought it was im= portant to know as broadly, deeply and generally as possible. I thus ch= ose my quest to know everything and apply that knowledge usefully. Simi= larly, we can arrive at our deepest value in life by asking, what value = includes all of our other values?1221
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My actions    &n= bsp; 140=

        =   Doing what I love  &n= bsp;   393

        =   Doing what you want to do =      445
= = Vector space    &n= bsp; We can consider a vector space in which any point can serve = as the center for a basis. (Superposition, linear combination, duality) = 68
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Taking     = 1097
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Be present    &n= bsp; 143=

        =   Appreciating attentiveness = ;     509

        =   Being totally present &nbs= p;    502

        =   Focusing on my role  =     483

        =   Imagining the proper mindset&nb= sp;     463

        =   Put in feeling   = ;   397

        =   Putting to memory  &n= bsp;   487

        =   Tune in to the season &nbs= p;    406
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Thread T) Extend the domain F) Continuity R) Self-superimposed sequence Th= ese three frames are the cycle of the scientific method: take a stand (h= ypothesize), follow through (experiment), reflect (conclude). I imagine = that they link B1, B2, B3, B4 with C1, C2, C3, C4 to weave all manner of= mathematical ideas, notions, problems, objects. 12

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Take a stand = Taking a stand. Recognize what is important in the given sc= ope.45

Being myself 575

= Believe in God = ; Conversing with: inexperience I wondered, why were p= eople so hesitant to do "good will exercises" with me? Why did they not = want to let go of their experience in the sense that I was? Why was I a= ble to live on the edge? I realized that I do believe in God. I do bel= ieve that God watches over me. I can therefore do risks to do the right= thing. I then appreciated that people might not be able to do that if = they don't believe in God. I drew this conclusion even though I had bee= n very careful to think that people might not need to explicitly believe= in God, but might have some comparable concept. Yet I saw that, to my = dismay, they generally didn't.696

= Comprehending my role &nbs= p; Conversing with: everybody After I concluded = my quest to know everything with my video summary, "I Wish to Know", and= after I failed to make Minciu Sodas a viable business because our cultu= re was too weak, I thought about my own role. I had worked to include o= thers as equals in a culture, although of evidently different levels of = maturity. But now I thought that, given my goal to apply my findings an= d foster a culture, I should appreciate my own role in that. I myself m= ight be more central to such a culture than I had supposed.642

= Get involved &= nbsp; Conversing with: my own limits I have exposed my faili= ngs and strengths by getting involved and not always holding back. At L= ithuanian scout camp Rakas, as a nineteen year old "Brother of the Fores= t", I spied on the teenage girl scouts from out of the forest. They saw= me, but I didn't retreat. I'm sure I looked pretty stupid. In 2009, I= went to a philosophy workshop in Lithuania, which had rejected my wish = to talk about my findings in my quest to know everything, including my v= ideo. At mid-day, one of the speakers gave a long screed against Americ= a, women, homosexuals, minorities. At question time, I asked, "Maybe Hi= tler was right?" and he replied, "As soon as I talk about such things, I= am inevitably compared to Hitler." As nobody kept him from speaking so= irresponsibly, I got up and punched him, saying that the Nazis had exec= uted my grandfather. (It seems that subsequently he stopped pursuing hi= s line of thinking, at least publicly.) I have many such incidents, stu= pid or noble, because I am willing to step out of norms. 700

Building on what I believe 534

        =   Acknowledge my assumptions = ;    Conversing with: unknown I wish to assum= e as little as possible. Thus I note the assumptions that I do make. I= assume the possibility of God rather than reject that possibility. I a= ssume the possibility of others. By recognizing these as assumptions, I= do not take them for granted, but allow that they are simply assumption= s, which may be wrong and may be questioned.594

        =   Appreciate my circumstances&nbs= p;    Conversing with: good fortune I was bor= n to a loving family. All of our needs were met. Furthermore, we lived= in Southern California, where the people around us for miles and miles = were also doing fine, it seems. I was instinctively good. I had a fant= astic mind. My future seemed bright and unlimited. I appreciated that = this was not my doing, that others did not have that, and that I could h= ave easily been born as a different person in different circumstances. = Thus, early on, I considered that I must apply myself, my talents and my= opportunities on behalf of all.706

        =   Ask for extraordinary assistance     Conversing with: commonality Somet= imes I have asked for extraordinary help from people I know with power: = to go to university in Soviet-occupied Lithuania; to get a visa for my l= ove; to get help from Lithuania's foreign ministry for Kenyans; to have = a place to stay for the night from the Church in Warsaw. I learned how h= elp was not forthcoming, or how it was much more or much less than what = I merited.746

        = ;  Believing in my superiority&nb= sp;     My mother thought that I might need g= lasses, but I resisted that idea, I suppose because I didn't wish to all= ow that I was imperfect in any way. One day we were driving home from L= ithuanian Saturday school on Highway 5. I would read out loud the exit = signs as they came up. My sister Rima managed to read our exit "Carmeni= ta" before I did! How could that be? I realized that she saw it before= me. That's when I admitted that I needed glasses.= 2091

        =   Make a back up plan  =    Conversing with: support In embarking on my bus= iness, Minciu Sodas, to organize independent thinkers, I hedged myself a= nd my debts with the thought that I would find work if my efforts failed= . But then later I came to learn that, having taken my path, it was not= so likely that I could get a job or that it could be honest work.697

        =   Making explicit my circumstances     Conversing with: complete stranger= As I appreciate that I can assume practically nothing about others, and= recognize the difficulty of communicating with anybody, yet I can lever= age my limitations. I can suppose that they may likewise have such diff= iculties; that I know primarily about myself and primarily my own limita= tions; that I can hope that they do likewise; and that any attempt to co= mmunicate will leverage those limitations; and the structure of our effo= rt, the message C from A to B, will be both the content and the form of = our initial communication; and that this is a "constructive hypothesis" = which we can apply, and to the extent it is by some miracle fruitful, we= can build upon.615

        =   Generalize from examples &= nbsp;   Conversing with: validity In developing th= e good will exercises, and considering situations that riled me, I saw t= hat, in the case of a homeless person, I myself was not following the tr= uth of my heart. From this one example, I looked for this principle in = general. Similarly, when I noticed, in discussing the question, What is= happiness? that there was a division of three at play, I started consid= ering, what would it mean to divide everything into two parts? or four p= arts? and so on.666
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My duties    &nb= sp; 161<= /a>

        =   Appreciating my freedom &n= bsp;    500

        =   Considering what I have to do&n= bsp;     486

        =   Considering what I have to do&n= bsp;     506

        =   Knowing what I can do at least&= nbsp;     503

        =   Noting what I do wrong &nb= sp;    504

        =   What rules do I not follow?&nbs= p;     516
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Hypothesis    = Wikipedia: A hypothesis is a proposed explanation for a= phenomenon. The term derives from the Greek, hypotithenai meaning "to p= ut under" or "to suppose." For a hypothesis to be put forward as a scien= tific hypothesis, the scientific method requires that one can test it. S= cientists generally base scientific hypotheses on previous observations = that cannot satisfactorily be explained with the available scientific th= eories.913<= /a>

        =   Mapping observabl= es and observations      Edwa= rd Cherlin, 2011.04.24: I like your cycle of scientific method: take = a stand (hypothesize), follow through (experiment), reflect (conclude), = although I find that there is more to it. It has been pointed out that a= hypothesis must include a model (usually mathematical) and a mapping be= tween parts of the model (observables) and observations, including exper= iments. 911<= /p>
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Practice    &nbs= p; 157

        =   Considering a principle's consequences=       513

        =   Living with integrity &nbs= p;    524

        =   Practicing our principles =      525

        =   Trying    &= nbsp; 45= 7
= Take stock    &nb= sp; 107= 4

        = ;  Learning from = experience whether something was worthwhile   =    When I was seven years old my parents gave me sevent= y five cents and I decided to spend it to go up the Space Needle. It was= something I really wanted to do. But then I cried and they asked why, w= asn't I happy? And I said, yes, it was good but it wasn't worth seventy = five cents. I had thought that it would be a life time experience and th= en felt disappointed that it wasn't and it was over and I could have got= ten some army soldiers instead.1040

        = ;  Note how thing= s work out in practice      I= have always hoped to attract programmers who could help for free on our= projects, but that never worked that way. Instead, I had to learn how t= o program. And I have helped self-educate some programmers, but they hav= e proved not quite reliable. And yet every so often I am positively surp= rised, they help in significant ways.1039

        =   Note unexpected= consequences      I let my b= rother borrow money on my credit cards. It was my suggestion, as he was = out of school and trying to establish himself as a commercial artist and= our parents weren't especially supportive. Overall, it worked out for h= im, and he found work. Although he suffered from the loans but he paid m= e back. I think that due to him I got quite a large credit limit which I= drew on later when I started my business. 978<= /p>
        =   Review my princ= iples      I never liked to h= aggle and I felt that it was the best policy to pay full price, partly b= ecause I believed that everybody should pay the same price, and that hag= gling was an inefficient system. And when I moved to Lithuania I felt th= at I was even so part of a different economic system and shouldn't prete= nd otherwise. But when I started traveling to attend conferences and how= expensive they were, it was suggested that I ask for a discount because= I am from Lithuania. And then I decided that I needed the help and if I= could get it that way then I would take it. 968<= /p>
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Conservation    = 9= 98

        =   Noether's Theorem = ;     Wikipedia: Noether's (first) theorem= states that any differentiable symmetry of the action of a physical sys= tem has a corresponding conservation law. ... The action of a physical s= ystem is the integral over time of a Lagrangian function (which may or m= ay not be an integral over space of a Lagrangian density function), from= which the system's behavior can be determined by the principle of least= action. Noether's theorem has become a fundamental tool of modern theo= retical physics and the calculus of variations. ... For illustration, if= a physical system behaves the same regardless of how it is oriented in = space, its Lagrangian is rotationally symmetric; from this symmetry, Noe= ther's theorem shows the angular momentum of the system must be conserve= d. ... Noether's theorem is important, both because of the insight it gi= ves into conservation laws, and also as a practical calculational tool. = It allows researchers to determine the conserved quantities from the obs= erved symmetries of a physical system. Conversely, it allows researchers= to consider whole classes of hypothetical Lagrangians to describe a phy= sical system. For illustration, suppose that a new field is discovered t= hat conserves a quantity X. Using Noether's theorem, the types of Lagran= gians that conserve X because of a continuous symmetry can be determined= , and then their fitness judged by other criteria.981

     Conservation law     = Wikipedia: Noether's (first) theorem states that any differentiable = symmetry of the action of a physical system has a corresponding conserva= tion law. ... The action of a physical system is the integral over time = of a Lagrangian function (which may or may not be an integral over space= of a Lagrangian density function), from which the system's behavior can= be determined by the principle of least action. Noether's theorem has = become a fundamental tool of modern theoretical physics and the calculus= of variations. ... For illustration, if a physical system behaves the s= ame regardless of how it is oriented in space, its Lagrangian is rotatio= nally symmetric; from this symmetry, Noether's theorem shows the angular= momentum of the system must be conserved. ... Noether's theorem is impo= rtant, both because of the insight it gives into conservation laws, and = also as a practical calculational tool. It allows researchers to determi= ne the conserved quantities from the observed symmetries of a physical s= ystem. Conversely, it allows researchers to consider whole classes of hy= pothetical Lagrangians to describe a physical system. For illustration, = suppose that a new field is discovered that conserves a quantity X. Usin= g Noether's theorem, the types of Lagrangians that conserve X because of= a continuous symmetry can be determined, and then their fitness judged = by other criteria.982

        =   C= onservation of angular momentum     = Wikipedia: In a closed system angular momentum is constant. T= his conservation law mathematically follows from continuous directional = symmetry of space (no direction in space is any different from any other= direction). If a planet is found to rotate slower than expected, then a= stronomers suspect that the planet is accompanied by a satellite, becaus= e the total angular momentum is shared between the planet and its satell= ite in order to be conserved. The conservation of angular momentum is us= ed extensively in analyzing what is called central force motion. If the = net force on some body is directed always toward some fixed point, the c= enter, then there is no torque on the body with respect to the center, a= nd so the angular momentum of the body about the center is constant. 985=

        =   Conservation of color charge      Wikipedia: In particle physics= , color charge is a property of quarks and gluons that is related to the= particles' strong interactions in the theory of quantum chromodynamics = (QCD). ... Color charge is conserved, but the book-keeping involved in t= his is more complicated than just adding up the charges, as is done in q= uantum electrodynamics.987

        =   Conservation of electric charge=       Wikipedia: In physic= s, charge conservation is the principle that electric charge can neither= be created nor destroyed. The quantity of electric charge, the amount o= f positive charge minus the amount of negative charge in the universe, i= s always conserved. Charge conservation is a physical law that states th= at the change in the amount of electric charge in any volume of space is= exactly equal to the amount of charge flowing into the volume minus the= amount of charge flowing out of the volume. In essence, charge conserva= tion is an accounting relationship between the amount of charge in a reg= ion and the flow of charge into and out of that region.986

        =   Conservati= on of linear momentum      Wi= kipedia: The law of conservation of linear momentum is a fundamental = law of nature, and it states that if no external force acts on a closed = system of objects the momentum of the closed system remains constant. On= e of the consequences of this is that the center of mass of any system o= f objects will always continue with the same velocity unless acted on by= a force from outside the system. Conservation of momentum is a mathemat= ical consequence of the homogeneity (shift symmetry) of space (position = in space is the canonical conjugate quantity to momentum). So, momentum = conservation can be philosophically stated as "nothing depends on locati= on per se".= 984

        =   Conservation of mass-en= ergy      Wikipedia: In ph= ysics, mass-energy equivalence is the concept that the mass of a body is= a measure of its energy content. In this concept the total internal ene= rgy E of a body at rest is equal to the product of its rest mass m and a= suitable conversion factor to transform from units of mass to units of = energy. If the body is not stationary relative to the observer then acco= unt must be made for relativistic effects where m is given by the relati= vistic mass and E the relativistic energy of the body.983

        =   Conservation of probability den= sity      Wikipedia: In qu= antum mechanics, the probability current (sometimes called probability f= lux) is a concept describing the flow of probability density. In particu= lar, if one pictures the probability density as an inhomogeneous fluid, = then the probability current is the rate of flow of this fluid (the dens= ity times the velocity). ... This is the conservation law for probabilit= y in quantum mechanics.... 989

        =   Conservation of weak isospin      Wikipedia: In particle physics= , weak isospin is a quantum number relating to the weak interaction, and= parallels the idea of isospin under the strong interaction. ... The we= ak isospin conservation law relates the conservation of T3; all weak int= eractions must preserve T3. It is also conserved by the other interactio= ns and is therefore a conserved quantity in general.988

        =   CPT symmetry  &nb= sp;   Wikipedia: CPT symmetry is a fundamental symme= try of physical laws under transformations that involve the inversions o= f charge, parity, and time simultaneously. ... The CPT theorem requires = the preservation of CPT symmetry by all physical phenomena. It assumes t= he correctness of quantum laws and Lorentz invariance. Specifically, the= CPT theorem states that any Lorentz invariant local quantum field theor= y with a Hermitian Hamiltonian must have CPT symmetry.990

        =   Lorentz symmetry &= nbsp;    Wikipedia: In standard physics, Lorent= z symmetry is "the feature of nature that says experimental results are = independent of the orientation or the boost velocity of the laboratory t= hrough space".991
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Knowing     = ; In real life, I can say from my work on "good will exercises" t= hat on any subject (such as "helping the homeless") there are two truths= (of the heart and of the world) that pull in different directions. For = example, "my help can make things worse" and "I should help those who ne= ed help". There are four tests that agree as to which truth is of the he= art (the metalevel, the solution space) and which is of the world (the l= evel, the problem space).33
<= td bgcolor=3D"#FAAFBE">Feel moved    &nb= sp; Emotions are the most intense way that we are attached to the= world and engaged in it. They are our and Jesus' complete engagement. E= specially compassion for others and their plight in this world.1338

     Jesus felt moved      2026

        = ;  Be profoundly troubled&= nbsp;     Matthew 26:36 Then Jesus came with = them to a place called Gethsemane, and said to his disciples, "Sit here,= while I go there and pray." 26:37 He took with him Peter and the two so= ns of Zebedee, and began to be sorrowful and severely troubled. 26:38 Th= en he said to them, "My soul is exceedingly sorrowful, even to death. St= ay here, and watch with me."1244

        = ;  Compassion  &n= bsp;   9:36 But when he saw the multitudes, he was move= d with compassion for them, because they were harassed and scattered, li= ke sheep without a shepherd.1733

        = ;  Compassion for what they may suffe= r      Matthew 15:32 Jesus su= mmoned his disciples and said, "I have compassion on the multitude, beca= use they continue with me now three days and have nothing to eat. I don'= t want to send them away fasting, or they might faint on the way."1993

        = ;  Note their feelings &= nbsp;    Luke 24:36 As they said these things, Jes= us himself stood among them, and said to them, "Peace be to you." 24:37 = But they were terrified and filled with fear, and supposed that they had= seen a spirit. 24:38 He said to them, "Why are you troubled? Why do dou= bts arise in your hearts? 2086

     What is hidden will be revealed     = ; 2027<= /a>

        = ;  All will be revealed &= nbsp;    We should strive to understand of our own= free will, for it will be revealed regardless, even after we have lost = it. Luke 8:16 "No one, when he has lit a lamp, covers it with a contain= er, or puts it under a bed; but puts it on a stand, that those who enter= in may see the light. 8:17 For nothing is hidden, that will not be reve= aled; nor anything secret, that will not be known and come to light. 8:1= 8 Be careful therefore how you hear. For whoever has, to him will be giv= en; and whoever doesn't have, from him will be taken away even that whic= h he thinks he has."1372

        = ;  How are Jesus' disciples different= from him      Jesus' discipl= es may speak plainly what he spoke in parables. As disciples, they add f= reedom to what Jesus says, for they took freely what he offered, and so = they can give freely. Unlike the Son, who was taught by the Father? Ma= tthew 10:26 Therefore don't be afraid of them, for there is nothing cove= red that will not be revealed; and hidden that will not be known. 10:27 = What I tell you in the darkness, speak in the light; and what you hear w= hispered in the ear, proclaim on the housetops.1803

        = ;  What can be contained or not      Matthew 10:26 Therefore don't= be afraid of them, for there is nothing covered that will not be reveal= ed; and hidden that will not be known. 10:27 What I tell you in the dark= ness, speak in the light; and what you hear whispered in the ear, procla= im on the housetops.1804

        = ;  What is hidden &nb= sp;    Matthew 13:34 Jesus spoke all these things = in parables to the multitudes; and without a parable, he didn't speak to= them, 13:35 that it might be fulfilled which was spoken through the pro= phet, saying, "I will open my mouth in parables; = I will utter things hidden from the foundation of the world." Psalm 78:2= 78:1 Hear my teaching, my people. Turn your ears to the words of my mou= th. 78:2 I will open my mouth in a parable. I will utter dark sayings of= old, 78:3 Which we have heard and known, and our fathers have told us. = 78:4 We will not hide them from their children, telling to the generatio= n to come the praises of Yahweh, his strength, and his wondrous works th= at he has done.1983
<= td bgcolor=3D"#F9B7FF"><= td>
Gut feeling    &= nbsp; 1= 680

        = ;  Emotional devastation of loved ones   = ;   Fresh Air interview of boxer Sugar Ray Leonard, Jun= e 6, 2011: When they announced the decision, I felt like I had given = 100 percent, just for the wrong fight. But the devastation =E2=80=94 the= emotional devastation that went across the board to my family and frien= ds =E2=80=94 was unbelievable. I saw them crying. Everyone was crying bu= t me."1891=

        = ;  Feeling release     = Fresh Air interview of boxer Sugar Ray Leonard, June 6, 2011: Yet he= was also hiding something: He was the victim of sexual abuse. "It's lik= e a paradox," said Leonard. "I'm a fighter but yet, I'm so fearful. I do= n't fight back and I don't tell anyone. I don't confront it. So I lived = with those periods for 30-some years but I remember too, that when I dra= nk heavily, when my emotions were not as stable, I would cry, sob and th= e pain =E2=80=94 it felt good. I felt embarrassed but it felt good becau= se I released some of those memories or that poison that was in my stoma= ch."1882

        = ;  Following what makes me feel uncomfortable      Jerry Michalski of The REX= pedition: The genesis of my Relationship Economy thesis was a realiza= tion, back around 1994 when I was writing Esther Dyson's monthly tech ne= wsletter Release 1.0, that the word "consumer" made me really uncomforta= ble. I followed that energy, and it proved invaluable. Ideas kept unfold= ing from that initial premise. I began to notice the consumerization of = so many spheres of human activity, from how we educate our children to h= ow we elect our governments and how we pray to our Gods. I paid attentio= n to the language of marketing to consumers, to the metaphors and busine= ss models that had spun out as a result.1755

        = ;  Sweetest feeling      Fresh Air interview of boxer Sugar Ray Leonard, June 6, 2011: "Ther= e is no sweeter feeling than when you throw the perfect punch. You get a= signal =E2=80=94 you get this little tingling sensation that shoots up = and down your arm to let you know that you've hit the jackpot. And you k= now. You know right away that guy's gone."1901
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Peace of mind    = ; A decision substitutes for the decision maker. They are c= onflated. Whether there is value.1078

        =   Anxiety      I was anxious and I told God I = was too anxious to work part-time on my philosophy and on the business t= oo at that point in my life. I offered a deal with him to let me focus o= n the business and I would make the business model work for him, too. Th= en I felt more at ease. 973<= /p>
        = ;  Noting changes= over time      We took in a = lady I knew from the streets, helped her quit drinking, and took her in = for two years and she worked as a cleaning lady. But then I drove her ou= t because I thought that she should move on, as she was not active in th= e club's activity with the youth, but just wanted them to stay away so t= he club would stay clean, and didn't want to do anything more with her l= ife.1037

        = ;  Stumbling upon= the irony of a situation      I walked to the river and I stumbled across a statue of the Japanese c= onsul who had written 6,000 visas by hand to Jews so they could escape t= he country and the Nazi threat. I sat down and cried. I thought there sh= ould be a national exam that all the bureaucrats should be required to p= ass regarding their ability and responsibility to be creative and proact= ive to do the right thing to the extent that they can.1021
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Knowing what    = Knowing What one knows, its origins. Caring about Believer.= Appeal to shared inner implicit inherent culture despite explicit exper= ience of examples that suggest differently. The truth of the world is ea= sy to point to, can be shown by examples, whereas the truth of the heart= must already be in you, is evoked by analogy. It is easy to show exampl= es that "my help can make things worse". But how can I show that I "shou= ld" help? I can't observe that, but rather, the notion must already be i= n me. Likewise, I can point to the surface structure of a problem, but a= s for the deep structure, I have to appeal to you that you are already f= amiliar with it.= 50

     Learn the issues of a discipline     = ; 568

        =   Ask for advice   = ;  Conversing with: know how I learn many things by ask= ing people who are knowledgeable in particular fields such as computers,= Linux, Lithuanian, languages, websites.689

        =   Dialogue with those responsible=      Conversing with: concern In speakin= g with leaders of the Chicago Archdiocese's Office of Catechesis, I real= ized that in the mainstream churches I might best connect with those who= love to worship God. 708

        =   Interrogate   &n= bsp; Conversing with: advisor When I go shopping for somethi= ng I don't know much about, such as shoes, bicycles, hiking equipment, c= omputers or gifts for women, I try to ask the salesperson questions, bot= h to learn about what to look for, and to discern if they are genuinely = helping me and I should follow their advice.688

        =   Survey existing knowledge =     Conversing with: what is known As a child= , when I started my quest to know everything, I was keen to learn all th= at what was already known, starting with history, starting with the begi= nning, the Mesopotamians. Unfortunately, I couldn't find any books on t= hem. So then I read about the Ancient Egyptians. In college, I was exc= ited to be able to learn on a deeper, more serious level, but I had to g= ive up the idea or reading everything and knowing it as it was presented= . Yet even when I worked independently, I would try to survey relevant = fields. My friend Shu-Hong Zhu made me a list of books relevant for dec= ision making and emotion, and in one book I learned of a study of the em= otions that mothers interpreted in faces of babies, namely: content, sad= , excited, surprised, frightened, disgusted. I then thought through a m= odel of these as emotional responses based on cognitive expectations.722
=
        =   Try out advice received &n= bsp;   Conversing with: instruction I've tried out= advice from people in nutrition, health, hiking, music, culture, litera= ture... Sometimes these are knowledgeable people and sometimes it just = seems that they know something they found useful and are glad to share. = Such knowledge tends to be useful, handling some issue, and may be frui= tful conceptually, in that it makes personal sense and develops sensitiv= ity in the relevant field.742

     Sense the spirit of a discipline     = ; 586

        =   Attend lectures  &nbs= p;  Conversing with: science I learned much physics and= math in college through lectures, especially physics lectures where pro= fessors such as Isaac Abella imparted their intuition. He would say thi= ngs that the books weren't saying or weren't able to make prominent, but= got across the idea at hand and the spirit of the subject.768

        =   Center conversation within their exper= tise     Conversing with: people's wi= sdom People aren't generally interested in my philosophical thinking= or can't engage me regarding it. So I've learned it to speak with peop= le about their subjects of expertise or interest, especially with my fri= ends, such as psychology with Shu-Hong Zhu, math and physics with John H= arland, cognitive science and neuroscience with Giedrius Buracas, and su= bsequently, with thinkers at up to twenty working groups at my online la= b, Minciu Sodas. Through these fields I'm able to express and develop m= y philosophical ideas and find where they are relevant.783

        =   Get to know the classics &= nbsp;   Conversing with: content I like to read th= e classics in literature, philosophy, religion and other fields because = they help me understand what is pertinent, fundamental, creative, fruitf= ul and influential, what is a real contribution. I enjoyed learning abo= ut and listening to classics of rock, jazz and classical music. This al= so helps me find my own way, what I myself am attracted to, makes me fee= l safe to do that and not feel manipulated by the spirit of our times. I= appreciate the classics as an efficient way to learn.743

        =   Note the nature of the origin of a sta= tement     Conversing with: sources In developing the good will exercises, I noted the following test to = distinguish the truths of the heart and of the world: We can point to t= he truth of the world with examples, but we can't show or learn the trut= h of the heart and it must already be in us. I can show many examples t= hat "My help could make things worse", whereas I can in no way show that= "I should help those who need or want help", but it must be innate. I = can appeal to one's knowledge of the latter with illustrations and analo= gies, but I can't show it in the world.670
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Knowing how    &= nbsp;Knowing How one knows, contrasts. Believing in Carer. Improv= e results by taking a more fundamental point of view. The truth of the w= orld follows from the truth of the heart, but not the other way around. = If "I should help those who need help", then I won't want my help to mak= e things worse. But if I simply don't want to make things worse, I will = never help anybody.51

     Distinguishing primary and secondary perspectives  =     564

        =   Compare outcomes  &nb= sp;  Conversing with: causality The truth of the world = follows from the truth of the heart, but not the other way around. I ha= ve observed this logical direction in 40+ good will exercises that I dev= eloped. It serves as one of four tests for distinguishing the truths of= the heart from the truths of the world. For example, if "I should help = those who need or want help", then soon it will be relevant that "My hel= p could make things worse". But if I start with "My help could make thin= gs worse", then I will never help anyone! So "I should help those who ne= ed or want help" is the truth of the heart, whereas "My help could make = things worse" is the truth of the world.663

        =   Identifying the issue &nbs= p;   Conversing with: conditionality I may solve a= n issue by appealing to the heart of it. For example, I may wonder whet= her God would let me hear him, whether God would allow for that. Yet of= all the things that I could ask for, isn't that the most ordinary one f= or God to grant? If Jesus encourages us to ask God for things, then isn= 't this the one that he can't credibly deny me?652

     Heightening the pull in opposite directions   = ;   1651

        =   Contrast two statements, positive and = negative     Conversing with: compara= bility In developing a good will exercise, if I am riled by somethin= g negatively, then I ask myself, what would make me feel even worse? and= this opens up space for me to ask, what would make feel good? and even = better than that? Then I contrast the resulting statements so that their= parts align and contrast sharply.661

        = ;  Heighten the contrast of statements p= ulling us in opposite directions     = On any abstract topic, contrasting truths of the heart and of the w= orld arise, so that they pull in opposite directions, they suggest oppos= ite actions. I heighten that contrast.1652

        = ;  How are two concepts di= fferent?      I thought "life= is will" and I asked, what is the difference? At first, I supposed that= life is the "unity" of the "representations" of "anything", whereas wil= l is the "unity" of the "representations of anything". Subsequently, I c= oncluded that anything is the structure of life, choosing is the represe= ntations of anything, and will is the unity of choosing, thus the will i= s the unity of the representations of the structure of life. 1699
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Implication    &= nbsp; 1= 682

        = ;  Compare total = expenses      Fresh Air inter= view of Michael Hiltzik about the Hoover Dam, June 8, 2010: Dams are = very expensive. And the water that they provide for users is very expens= ive water because of the capital expense of building a dam. It's wiser t= oday to look for other sources of water supply, including conservation a= nd reclamation, and this is what we try to do now because it's much chea= per, more efficient and ecologically friendly.<= a href=3D"http://t.co/ju1KSid#1879">1879

        = ;  Decide to be different from a leading influence &nb= sp;    Fresh Air interview with Keith Richards of = the Rolling Stones: "If you're talking image-wise, we probably did ma= ke a decision to not be The Fab Four. They were basically differences be= tween the bands. The Beatles were basically a vocal band. They all sang = and one song, John would take the lead. Another, Paul [would] or George = and sometimes Ringo. Our band set up totally differently =E2=80=94 with = one frontman, one lead singer, and what I loved about it is that there's= an incredible difference in it between The Beatles and ourselves, but a= t the same time, we were there at the same time, and you're dealing with= each other. And it was a very, very fruitful and great relationship bet= ween the Stones and The Beatles. It was very, very friendly. The competi= tion thing didn't come into it as far as we were concerned."1715

        = ;  The path I want to take     = ; Fresh Air interview of boxer Sugar Ray Leonard, June 6, 2011: <= i>"I wanted to win the goal medal and then go home and further my educat= ion in college," he says.1885
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Knowing why    &= nbsp;Knowing Why one knows, scopes. Believing in Believer. Invert= my point of view by taking up another's wider point of view. Given a su= bject such as "helping the homeless", and the four questions Why? How? W= hat? Whether?, then the heart considers a broader question than the worl= d. The world asks, What is helpful? (what makes things better, not worse= ) but the heart asks Why are we helpful? (because we should). This makes= for six types of issues.52

     Define a concept in terms of more fundamental concepts &= nbsp;    556

        = ;  Define a concept in terms of other co= ncepts      I wanted to be sure t= o include and define all of the basic concepts in life. I wanted to do = that in terms of the most basic concepts, and ultimately, ground them in= the structures that I was discovering. I defined life as "the fact tha= t God is good" and love as "support for life" and also as "the unity of = the representations of the structure of God", thus "the unity of wishing= ", "the unity of the representations of everything". I organized these = definitions using TheBrain and then later exported that to an HTML hiera= rchy. I knew that this kind of definition was, by itself, problematic a= nd so I looked for other ways of defining as well, such as by way of "mi= nd games" as with the topologies.1698

&n= bsp;        Diagram what follows from what     = Conversing with: assumptions In studying argumentation, I drew diagr= ams to track which principle builds on which principle. In studying way= s of figuring things out, I likewise considered, which way depended on w= hich.773

        =   Expressing the essence as a relation o= f concepts     Conversing with: conce= pts I formulated the seven counterquestions as perspectives placed i= n situations. I recognized the qualities of signs as pairs of levels fr= om the foursome. Similarly, I recognized that I could express the secon= dary structures as injections of God of one level into a primary structu= re of another level. In studying verbalization, I realized that the dee= p issue of a good will exercise could be considered as built up from two= concepts which are put together differently by the truth of the heart a= nd the truth of the world.682

        =   Greimas's semiotic square      The Lithuanian semiotician Algird= as Julius Greimas developed the semiotic square, for example: White (al= l light), Black (no light), Not-Black (=3Dgrey), Not-White (=3Dcolored).= Wikipedia: The Semiotic Square, also known as the Greimas Square, i= s a tool used in the structural analysis of the relationships between se= miotic signs. Greimas considered the Semiotic Square to be the elementar= y structure of meaning. It is associated with the Aristotelian Square of= Opposition, Boole's syllogistic, "the logical hexagon of R. Blanche ...= as well as to the structures called, in mathematics, the Klein four-gro= up, and, in psychology, the Piaget group.994

        =   Identifying regularities &= nbsp;   Conversing with: regularity In studying na= rration and Lithuanian folk tales, I noticed that the tone of voice crea= ting tension (forcing, commanding, explaining, caring) was constant in t= he beginning of the story and constant at the end. The voice receiving = the tension was unfolded to involve ever more levels of Maslow's hierarc= hy, until the climax of the story was reached when the need for self-ful= fillment was attacked, and then the character was folded back up again. = This was all true in each story. In studying the counterquestions, I ex= pressed each as a pair of a perspective and a situation.637

&nb= sp;         Inverting conclusions     Conv= ersing with: conclusions As I considered the truths of the heart and= of the world from some forty goodwill exercises, I noticed that both we= re related to their topic, but in different ways. Given a deep issue su= ch as "helping", there was a truth of the heart, "I should help those wh= o ask for help", and a truth of the world, "My help should not make thin= gs worse", each teaching something about "helping". I thought of the for= mer as "accomodating of helping" and the latter as "helping of repriorit= izing", and in general, I noticed that each truth was such a "double ger= und". In the truth of the heart, the issue "helping" was qualified by "a= ccomodating", whereas in the truth of the world, "helping" was a qualifi= er for "reprioritizing". I realized that "helping" could be defined as = "accomodating of reprioritizing" and then realized that I could turn thi= s process around. I could work backwards to ask, what are the truths of= the heart and of the world about "accomodating"? how does it break down= as a pair of gerunds? and work my way backwards to the most basic issue= . And I knew the six most basic issues in that the truths of the heart = and of the world took up different levels of the foursome, making for si= x pairs in all. So I had a method for working backwards from real life = examples "in the field" to a theoretical foundation for them.624

        =   Phenomena coincide in that they appear= together     Conversing with: identi= ty In phonology, semiotics and other structural disciplines, there i= s a principle that two phenomena are the same if they appear together, s= o that no change in meaning is ever signified should one stay the same, = but the other change. 795

        =   Phenomena coincide in that they never = appear together     Conversing with: = continuity In phonology, semiotics and other structural disciplines,= there is a principle that two phenomena are the same if they never appe= ar together. For example, Superman and Clark Kent must be the same pers= on because they are never seen together.794

     Relate scopes      1701

        =   Comparing levels of the foursome: Why?= How? What? Whether?     Conversing w= ith: scope of a statement On a given subject, one way to distinguish= the truths of the heart and of the world is that, given four questions = - whether, what, how, why - with why being the broadest - the heart asks= the broader question. This also leads to six different pairs, thus cat= egories into which the related topic and good will exercise fall into.680
&nbs= p;        = Cross check     Conversing with: trut= h I found four different ways to distinguish between the truths of t= he heart and of the world. Three of the ways corresponded with each othe= r all of the time in the more than 40 good will exercises that I develop= ed. These tests thereby affirmed each other: We can point to the truth = of the world with examples from experience, but not the truth of the hea= rt, which must be in us already; the truth of the world follows from the= truth of the heart, but not the other way around; and given four questi= ons, whether-what-how-why, why being the broadest, the truth of the hear= t asks a broader question than the truth of the world. The fourth test = is that the person who is riled is wrong, and confuses the truths of the= heart and the world, but in some cases they didn't and I had to ammend = my conclusions regarding that test.723
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Service     = ; Humility is concrete as six forms of Service that pairs the fou= r levels of Servant and Served. These forms consider what can be done "= within the system" (the market, the firm) (whereas Giving and Taking tak= e place "outside the system", among family, friends, neighbors). The mi= ndsets are given by the following questions:
How does it seem to me? Appraise. The calm Servant provides th= e motivated Served with an appraisal, judgment, price.
What else should I be doing? Audit. The calm Servant provides the r= ich Served with a budget, alternatives, substitutions.
Would it make any difference? Negotiate. The motivated Servant prov= ides the rich Served with choices, priorities, contracts.
What do I have control over? Sell. The rich Servant provides the hu= mble Served with possibilities, favors, exceptions.
Am I able to consider the question? Cut one's losses. The motivated= Servant provides the humble Served with closure, clarity.
Is this the way things should be? Consult. The calm Servant provides= the humble Served with overview, advice.
1099<= /span>

&nbs= p;           &nbs= p; The Business Equation by John Caswell      The diagram above presents my= structuring of The Business Equation taught by John Caswell of GroupPar= tners.net It does seem to me to correlate with the methods from my "mon= ey mind" stories.1703
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Forces     = Forces are expressions of causality, of the relationship between= before and after. They allow for a system to break down into subsystems= . Rules are applied in six different ways to link states before and afte= r an event. In math, these are the kinds of subsystems that Implication= forms. In life, these are the ways that we visualize. 854<= /p>
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Empathize    &nb= sp; 142<= /a>

        =   Assuming intersubjectivity = ;     489

        =   Caring what loved ones believe&= nbsp;     417

        =   Considering how others may see things<= /span>      444

        =   Imagine a listener  &= nbsp;   396

        =   Imagining what others may think=       493

        =   What others may like  = ;    414

        =   Your state of mind  &= nbsp;   490
<= td>
Adjacency graph   &nb= sp; Imply truth (can determine connectedness) (Connectednes= s, coloring, triangulation of polygon) 20 Atlas: Network =3D> Hierarchy = (for determining connections) 69

        = ;       All = parabolas have the same shape      I've found in teaching the quadratic equations (and searching for a us= e for them) that the parabola is arguably an ideal curve for learning to= graph. That's because all parabolas have one and the same shape, if you= discount zooming in and out. Each parabola, if you zoom in, will look f= lat, and if you zoom out, will look narrow, in exactly the same proportions. You can see this if you substit= ute x -> ax and y->ay and thereby you can transform x =3D y**2 to xa =3D= y**2 a**2 so x =3D a y**2 effectively where a can be as you like. This = means that all parabolas look the same and their graphs differ only in h= ow you move them around, up and down, left or right, negative or positiv= e, zoom in or zoom out. Also, I teach my students to draw too graphs bec= ause most never realize how the parabola completely flattens out at the = bottom where -1 < x < 1. It's a bit like filming a movie where you have = to combine full length shots of people with head shots. One shot won't d= o it. Gospel Math.1841

        = ;       Axiom of extensionality     <= i> Wikipedia: Two sets are equal (are the same set) if they have = the same elements. Note that there are thus two levels of equality.= Equality is a bidirectional relationship. And the two levels are like= levels of an atlas. An atlas defines, at different levels, what can be= consider the "same" point or location from far away, though may be diff= erent from close up. The "equivalence" and equivalence classes may be "= turned on or off" selectively in the atlas.1164

        = ;  Coloring   &nbs= p; The use of coloring is related to parity and modular = arithmetic, except that we are not constrained by the algebraic properti= es of integers. pg.111, The Art and Craft of Problem Solving, Paul Z= eitz, 1999, John Wiley & Sons, Inc. 1745

        = ;  Graph    &= nbsp; Just about any situation involving "relationships" and "= objects" can be recast as a graph, where the vertices are the "objects" = and we join vertices with edges if the corresponding objects are "relate= d". pg.120, The Art and Craft of Problem Solving, Paul Zeitz, 1999, = John Wiley & Sons, Inc. 1752

        = ;       Hand= shake Lemma      In any graph,= the sum of the degrees of all the vertices is equal to twice the number= of edges. pg.121, The Art and Craft of Problem Solving, Paul Zeitz,= 1999, John Wiley & Sons, Inc. 1754

        = ;       Slee= ping mathematicians      Durin= g a certain lecture, each of five mathematicians fell asleep exactly twi= ce. For each pair of these mathematicians, there was some moment when bo= th were sleeping simultaneously. Prove that, at some moment, some three = of them were sleeping simultaneously. pg.120, The Art and Craft of P= roblem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc. 1753

   = ;       P= roportion multiplication: Rescaling the whole  &nbs= p;   A whole can be rescaled. This is proportion, as w= ith your teddy bear projected on a screen. The rescalings are actions t= hat can be composed, magnifying and shrinking. They are all multiplying= against some unknown, acting upon it, yielding actions x actions x (obj= ect with units). They can be reorganized and canceled away. I sometime= s talk to my students about "magnifying drops" (each drop multiplying by= 10) and "shrinking drops" (each drop dividing by 10) and ask what happe= ns when we add one drop after another drop. Also, actions can be decompo= sed into component actions, into primes. I relate this to the adjacency= graph and the Atlas view because it consists of a hierarchy of global a= nd local views upon a network, thus the same relation can appear at diff= erent scales. = 1527

        = ;       Bicycle gearing   &nb= sp; Bicycle gears are given by the formula: (number of fron= t teeth / number of back teeth) x circumference of wheel =3D distance tr= aveled per revolution. That's an example of the proportional scaling ("r= escaling the whole", like with projecting a teddy bear ). You could ima= gine starting out with two gears (the gear fixed to the wheel, and the g= ear you are pedaling) each the size of the back wheel. Replacing those = giant gears with smaller gears is an action of magnifying or shrinking t= he distance traveled. You could add more gears to further magnify or sh= rink that ratio. Adding teeth to the gears is changing the units (and t= hat aspect could be considered "rescaling the multiple", as with skip co= unting, but that is the correspondence of the number of teeth to the cir= cumference of the gear, NOT the relationship between the two gears). Th= e fact that multiplication is taking place at two different levels makes= it challenging to think about because the gear ratio is "abstract" and = not concretely, directly related to the size of the wheel. See also Dmitri's game!1763

        = ;  Triangulating, then coloring&n= bsp;     The walls of a museum gallery for= m a polygon with n sides, not necessarily regular or even convex. Guard= s are placed at fixed locations inside the gallery. Assuming that guards= can turn their heads, but do not walk around, what is the minimum numbe= r of guards needed to assure that every inch of wall can be observed? ..= . A coloring reformulation comes to the rescue: Triangulate the gallery = polygon. pg. 43, 61 The Art and Craft of Problem Solving, Paul Zeitz= , 1999, John Wiley & Sons, Inc.1512
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Be perfect.     = Matthew 5:43 "You have heard that it was said, 'You shall = love your neighbor, and hate your enemy.' 5:44 But I tell you, love your= enemies, bless those who curse you, do good to those who hate you, and = pray for those who mistreat you and persecute you, 5:45 that you may be = children of your Father who is in heaven. For he makes his sun to rise o= n the evil and the good, and sends rain on the just and the unjust. 5:46= For if you love those who love you, what reward do you have? Don't even= the tax collectors do the same? 5:47 If you only greet your friends, wh= at more do you do than others? Don't even the tax collectors do the same= ? 5:48 Therefore you shall be perfect, just as your Father in heaven is = perfect. 1262<= /a>

        = ;  Be merciful as your Father is merciful=       Luke 6:36 Therefore be = merciful, even as your Father is also merciful. 6:37 Don't judge, and yo= u won't be judged. Don't condemn, and you won't be condemned. = Set free, and you will be set free.1352

        = ;  Distinguish the living and the dead b= ased on their priorities      Mat= thew 8:21 Another of his disciples said to him, "Lord, allow me first to= go and bury my father." 8:22 But Jesus said to him, "Follow me, and lea= ve the dead to bury their own dead." 1617

        = ;  God is kind toward the unthankful and = evil      Luke 6:27 "But I te= ll you who hear: love your enemies, do good to those who hate you, 6:28 = bless those who curse you, and pray for those who mistreat you. 6:29 To = him who strikes you on the cheek, offer also the other; and from him who= takes away your cloak, don't withhold your coat also. 6:30 Give to ever= yone who asks you, and don't ask him who takes away your goods to give t= hem back again. 6:31 "As you would like people to do to you, do exactly = so to them. 6:32 If you love those who love you, what credit is that to = you? For even sinners love those who love them. 6:33 If you do good to t= hose who do good to you, what credit is that to you? For even sinners do= the same. 6:34 If you lend to those from whom you hope to receive, what= credit is that to you? Even sinners lend to sinners, to receive back as= much. 6:35 But love your enemies, and do good, and lend, expecting noth= ing back; and your reward will be great, and you will be children of the= Most High; for he is kind toward the unthankful and evil.1351

        = ;  God's example: the way, the truth and= the life      The way, the truth= and the life -- DIFFERENCE/UNITY IN DOING -- Jesus is the way that link= s the life (heaven to earth) and the truth (from earth to heaven), thus = people know the Father by knowing the Son, and do their works (of life) = by asking the Son and keeping his commandments, and see and know and rec= eive as counselor the Spirit of Truth, which the world doesn't see or kn= ow or receive1= 972

        = ;  How to be perfect =      Matthew 19:20 The young man said to him,= "All these things I have observed from my youth. What do I still lack?"= 19:21 Jesus said to him, "If you want to be perfect, go, sell what you = have, and give to the poor, and you will have treasure in heaven; and co= me, follow me." 19:22 But when the young man heard the saying, he went a= way sad, for he was one who had great possessions. 19:23 Jesus said to h= is disciples, "Most certainly I say to you, a rich man will enter into t= he Kingdom of Heaven with difficulty. 19:24 Again I tell you, it is easi= er for a camel to go through a needle's eye, than for a rich man to ente= r into the Kingdom of God."2006

        = ;  Should you judge? &n= bsp;    Matthew 7:1 "Don't judge, so that you won'= t be judged. 7:2 For with whatever judgment you judge, you will be judge= d; and with whatever measure you measure, it will be measured to you. 1466<= /p>
        = ;  Touch and feel  =     Luke 24:38 He said to them, "Why are you troub= led? Why do doubts arise in your hearts? 24:39 See my hands and my feet,= that it is truly me. Touch me and see, for a spirit doesn't have flesh = and bones, as you see that I have." 24:40 When he had said this, he show= ed them his hands and his feet. 24:41 While they still didn't believe fo= r joy, and wondered, he said to them, "Do you have anything here to eat?= " 24:42 They gave him a piece of a broiled fish and some honeycomb. 24:4= 3 He took them, and ate in front of them.2087

        = ;  What distinguishes the Gentiles and= God?      Matthew 6:31 "Ther= efore don't be anxious, saying, 'What will we eat?', 'What will we drink= ?' or, 'With what will we be clothed?' 6:32 For the Gentiles seek after = all these things; for your heavenly Father knows that you need all these= things.1459

        = ;  What is your reward? &nbs= p;    Matthew 5:46 For if you love those who love = you, what reward do you have? Don't even the tax collectors do the same?= 5:47 If you only greet your friends, what more do you do than others? D= on't even the tax collectors do the same? 5:48 Therefore you shall be pe= rfect, just as your Father in heaven is perfect. 1265

        = ;  Which is the way that leads to life= ?      The gate of "belief" l= eads to life; the gate of "caring" leads to destruction. We can distingu= ish the gates by seeing who goes through them. Matthew 7:13 "Enter in b= y the narrow gate; for wide is the gate and broad is the way that leads = to destruction, and many are those who enter in by it. 7:14 How narrow i= s the gate, and restricted is the way that leads to life! Few are those = who find it. 1= 484

        = ;  Who does one love more&= nbsp;     Matthew 10:37 He who loves father o= r mother more than me is not worthy of me; and he who loves son or daugh= ter more than me isn't worthy of me. 10:38 He who doesn't take his cross= and follow after me, isn't worthy of me. 1814

        = ;  Who will find it more tolerable      Matthew 11:20 Then he bega= n to denounce the cities in which most of his mighty works had been done= , because they didn't repent. 11:21 "Woe to you, Chorazin! Woe to you, B= ethsaida! For if the mighty works had been done in Tyre and Sidon which = were done in you, they would have repented long ago in sackcloth and ash= es. 11:22 But I tell you, it will be more tolerable for Tyre and Sidon o= n the day of judgment than for you. 11:23 You, Capernaum, who are exalte= d to heaven, you will go down to Hades. For if the mighty works had been= done in Sodom which were done in you, it would have remained until this= day. 11:24 But I tell you that it will be more tolerable for the land o= f Sodom, on the day of judgment, than for you." = 1906

        = ;  Why should we be anxious or not?      Matthew 6:34 Therefore don= 't be anxious for tomorrow, for tomorrow will be anxious for itself. Eac= h day's own evil is sufficient.1463
Negotiate     = ; Would it make any difference? Negotiate. The motivated Servant = provides the rich Served with choices, priorities, contracts.1091

        = ;  Communicate wh= at I may do if I don't get my way    &nbs= p; When I came to study in Lithuania the university administratio= n placed me in the dormitory for foreigners. This was in the Soviet days= and that dormitory was practically empty and isolated from the local st= udents. I told the housing authority that they give me a place in the re= gular dormitory or I would find somebody to trade places with me. That s= hook them up and so grudgingly they found a room for me in the regular d= ormitory with a student of Soviet history.1023

        = ;  Give priority = to what is most real      My = priorities are to make sure that the government has my money, to turn in= my declarations, to keep a record of my receipts, and only then to go t= hrough the artifice of keeping formal books. I said also that my income = comes primarily from the United States and since I had to abide by both = systems, I gave priority to the United States.1017
Compare     = 154=

        =   Comparing how things have been&= nbsp;     485

        =   Comparing us   &= nbsp; 491

        =   Comparing what I give and get&n= bsp;     501

        =   Considering what is the best we can do=       467

        =   Disagreeing   &n= bsp; 453

        =   Knowing what is valued more than money=       450
<= tr><= td>
Powerset lattice   &n= bsp; Vary implication (can satisfy various conditions) 32 C= hronicle: Sequence =3D> Hierarchy (for determining solutions) 71

        = ;       Axiom of power set      Wik= ipedia: In mathematics, the axiom of power set is one of the Zermelo-= Fraenkel axioms of axiomatic set theory. Given any set A, there is a se= t P(A) such that, given any set B, B is a member of P(A) if and only if = B is a subset of A.1160

        = ;       Dist= ributing with box mathematics      We can distribute 23 x 15 using grid paper as (20 + 3) x (10 + 5). We = can change the tens to hundreds or thousands or millions. Likewise we ca= n distribute (2X + 3) x (X + 5). Compare with two digit multiplication. = Gospel Math. 1848

   &nbs= p;      Box mu= ltiplication: Redistributing the set    &= nbsp; A set can be redistributed. A set is anything which can be= thought as multiple units, where each element is distinct. A set can b= e the rows of a chessboard or an array. It can be the breakdown of a le= ngth, for example, 2 feet and 1/2 foot. We multiply the set by applying= the distributive law and multiplying each element of the set separately= . And that multiplication can be noncommutative, which is to say, we ca= n make sure that the element is followed by the action. Such multiplica= tion typically looks like a set matched with another set, yielding "box = multiplication", as when we multiply (3 feet + 1/4 foot)(2 feet + 1/2 fo= ot) and get 4 products which we then sum up. This is also the standard computation of multiplication, for example, multiplying 2 digit numbers = together. Multiplication thus gives the ways of matching units, multiple= units times multiple units, as in box multiplication, accounting for al= l possibilities. Units times units means that conditions are satisfied,= thus generating all of the solutions. Here the units are all known, th= ey form sets, thus there are distinct terms in expressions with multiple= units.1529

        =   Polya's pattern of two loci&nbs= p;     899

   &nbs= p;           Illustrative= example      Euclid's first = problem in his Elements is: In drawing an equilateral triangle, given th= e first side AB, how do we draw the other two? The solution is: to draw= a circle c(A) around A of length AB and to draw a circle c(B) around B = of length AB. The third point C of the equilateral triangle will be at = a point where the two circles intersect. (There are two such points, abo= ve and below the line segment.) Polya notes that this solution is a par= ticular example of a general pattern of "two locii", which is to say, we= can often find a desired point by imagining it as the intersection of t= wo curves. I note further that each curve may be thought of as a condit= ion (X=3D"points within a distance AB of A", Y=3D"points within a distan= ce AB of B"). The solution created four regions:
Solutions to both X and Y.
Solutions to X.
Solutions to Y.
Solutions to the empty set of conditions.
The solver's thought process leveraged a deep math structure: the powers= et lattice of conditions: {{X,Y}, {X}, {Y}, {}}. The solver envisaged t= he solution as the union of two conditions. In this deep structure, the= re is no reference to triangles, circles, lengths, continuity or the pla= ne, all of which turn out to be of superficial importance. Here the cru= x, the mental challenge of the problem, is expressed exactly by the powe= rset lattice. And, notably, that is a mathematical structure! Math is = the deep structure of math! 900<= /p>
        = ;  Reimagining the monk problem &= nbsp;     A monk climbs a mountain. He sta= rts at 8 am and reaches the summit at noon. He spends the night on the s= ummit. The next morning, he leaves the summit at 8am and descends by the= same route he used the day before, reaching the bottom at noon. Prove = that there is a time between 8 am and noon at which the monk was at exac= tly the same spot on the mountain on both days One solution is to a= llow for two monks traveling, one up and the other down, so that it is c= lear they must meet. In this way the solution is where the two condition= s are both satisfied. pg.19, The Art and Craft of Problem Solving, Paul = Zeitz, 1999, John Wiley & Sons, Inc.1503

        =   Constraint satisfaction=       Wikipedia: In artificial= intelligence and operations research, constraint satisfaction is the pr= ocess of finding a solution to a set of constraints that impose conditio= ns that the variables must satisfy. A solution is therefore a vector of = variables that satisfies all constraints.939

     Creative rethinking      Many= creative methods have us rethink, reorganize, untangle, recombine the c= onditions that define a problem.909

        = ;       The = two ropes      Paul Zeitz gives t= he following problem that can be solved (the two ropes can be retrieved)= by teasing out the conditions that the solution must satisfy and organi= zing them thoughtfully. You are locked in a 50 x 50 x 50-foot room wh= ich sits on 100-foot stilts. There is an open window at the corner of th= e room, near the floor, with a strong hook cemented into the floor by th= e window. So if you had a 100-foot rope, you could tie one end to the h= ook, and climb down the rope to freedom. (The stilts are not accessible = from the window.) There are two 50-foot lengths of rope, each cemented i= nto the ceiling, about 1 foot apart, near the center of the ceiling. Yo= u are a strong, agile rope climber, good at tying knots, and you have a = sharp knife. You have no other tools (not even clothes). The rope is st= rong enough to hold your weight, but not if it is cut lengthwise. You c= an survive a fall of no more than 10 feet. How do you get out alive?= pg. 27, The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wi= ley & Sons, Inc. 1382
= Decomposition    = Vary model (can variously combine factors) (Pigeonhole pri= nciple, partitions, factorizations, encoding, full range of outputs, pri= nciple of inclusion-exclusion) 31 Catalog: Hierarchy =3D> Network (for d= etermining redundancies)72

        = ;       Ax= iom of union      Wikipedia: = For any set F there is a set A containing every set that is a member = of some member of F1163

        = ;       Reor= ganizing addition to do it in your head    &n= bsp; Adding 256 + 256 in your head is easier to do from left to r= ight than from right to left because the intermediate response (500) is = simpler because there is nothing to carry. Gospel Math.1843

        = ;       Reor= ganizing multiplication to do it in your head   &n= bsp; Given a problem 5,000 x 50,000, we can break it down i= n different ways such as 5 x 50 x 1,000 x 1,000 so that we can do it in = our head. Gospel Math.1842

        = ;  Conspicuous ceiling  = ;    41 rooks are placed on a 10x10 chessboard.= Prove that there must exist 5 rooks, none of which attack each other. .= .. When you see the number 41 juxtaposed with 10, you know that the pige= onhole principle is lurking about, since 41 is just one more than 4x10. = Once attuned to the pigeonhole principle, we cannot help but notice tha= t [41/10] =3D 5, which is encouraging, for this is the number of rooks w= e seek. pg.95, The Art and Craft of Problem Solving, Paul Zeitz, 199= 9, John Wiley & Sons, Inc. 1740

        = ;  Halt or repeat  &nbs= p;   If there are only finitely many states as somet= hing evolves, either a state will repeat, or the evolution will eventual= ly halt. pg.113, The Art and Craft of Problem Solving, Paul Zeitz, 1= 999, John Wiley & Sons, Inc. 1749

        = ;  Intermediate pigeonhole &= nbsp;    If you have p pigeons and h holes, the= n at least one of the holes contains at least [p/h] pigeons. pg.94, = The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Son= s, Inc.1638

  &nb= sp;       Label multiplication: Redistributing the multiple &n= bsp;    A multiple can be redistributed. This is = similar to skip counting but it is counting collections, and so it is co= unting everything up as if we were counting up each item in each collect= ion. Thus it is recounting ordinals. We can think of it as a labeling = process, where each group and subgroup is counted and labeled. Thus it = proceeds from whole to parts, in the opposite direction as tallying, whi= ch proceeds from parts to whole.1392

        = ;  Pigeonhole principle &nbs= p;    If you have more pigeons than pigeonholes= , and you try to stuff them into the holes, then at least one hole must = contain at least two pigeons. ....sometimes also called the Dirichlet pr= inciple. pg.92, The Art and Craft of Problem Solving, Paul Zeitz, 19= 99, John Wiley & Sons, Inc.1635

        = ;       n+1 = positive integers      Show th= at among any n+1 positive integers, there must be two whose difference i= s a multiple of n. ... The penultimate step ... is realizing that the tw= o desired numbers must have same remainder upon division by n. Since th= ere are only n possible remainders, we are done. pg. 93, The Art and= Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1637
        = ;       Two = points a mile away      Every = point on the plane is colored either red or blue. Prove that no matter = how the coloring is done, there must exist two points, exactly a mile ap= art, which are the same color. ... imagine the vertices of an equilatera= l triangle with side length one mile. There are three vertices, but only= two colors available! The pigeonhole principle tells us that two vertic= es must be the same color! pg.93, The Art and Craft of Problem Solvi= ng, Paul Zeitz, 1999, John Wiley & Sons, Inc.1636

        = ;  Repeated application of pigeonhole pr= inciple      ...This rather el= aborate problem was a good illustration of both the pigeonhole principle= and the wishful thinking strategy, i.e., not giving up. When you think= that the problem can be attacked with the pigeonhole principle, first t= ry to do the job neatly. Look for a way to define pigeons and holes that= yields a quick solution. If that doesn't work, don't give up! Use the p= igeonhole principle once again to gain a foothold, then try to use it ag= ain. Keep extracting information! pg.95, The Art and Craft of Proble= m Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc. 1741

        = ;  The Factor Tactic  &= nbsp;   Multiplication rarely simplifies things. Ins= tead you should Factor relentlessly. pg. 163, The Art and Cra= ft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc. 1377
<= td>
Directed graph   &nbs= p; Vary truth (can add or remove circular behavior) (With o= r without cycles) 30 Tour: Network =3D> Sequence (for determining paths)= 73
        = ;       Axiom of regularity      W= ikipedia: Every non-empty set x contains a member y such that x and y= are disjoint sets. This eliminates, for example, the possibility o= f there being a set X which is its own element X =3D {X}. (Note that th= e empty set has no members). This allows us to think of set inclusion r= elations in terms of directed graphs because then it is clear which is t= he element of which, although there can be cycles. Thus the axiom of re= gularity may be thought to allow directed graphs to make sense. Wikipedi= a: The axiom of regularity is arguably the least useful ingredient of= Zermelo-Fraenkel set theory, since virtually all results in the branche= s of mathematics based on set theory hold even in the absence of regular= ity ... However, it is used extensively in establishing results about we= ll-ordering and the ordinals in general.1166

  &nb= sp;       Divide out Multiplication: Redistributing the whole &nb= sp;    A whole can be redistributed. This is long= division. We can focus on cases where the remainder is zero, or we can simply keep dividing foreve= r. This is like children (or pirates) "dividing out" money, "counting out"= money ("one for me, one for you, ..."). Most of the whole is divided ou= t; then more of it; then more and so on. This yields multiple units. (Numb= er of cycles) x (Number of people x Units )1530
= = <= td>
Obeying     = ; 35<= /span>
<= td>
A greater context in which everything can b= e reinterpreted and get unexpected meaning    = ; = 919

        =   Allow for a large= r context      Bradford Hanse= n-Smith, 2011.04.25: One of the aspects of figuring things out is to = figure out how to support ourselves doing what we desire in a society th= at has limitation on what it has decided has meaning and will pay for. M= y suggestion is to look towards your thoughts about "Identity." ...ther= e is Context, which can change the meaning entirely,..." The larger the = context the greater is one ability to make connections that give meaning= to individual purpose. All other areas of compartmentalization will by = necessity be limited. This is what I think people are really talking abo= ut with the overused phrase of "thinking outside of the box." You know,= the one that was never there until we constructed it, giving it an iden= tity of "reality" which then becomes directive and instead of moving thr= ough it stays on our shoulders, limiting our range of vision and diminis= hing our choices. Meaning is not in explaining what we know, rather in = finding the value that lies between those things we know. Alignment wit= h that which is out of our range extends our understanding revealing gre= ater symmetries and ways of solving problems, like ways of making a livi= ng without having to get into someone else's box.902

        = ;  Be taught by others how life is for them &n= bsp;    My black male patients had all been sto= pped by the police for traffic violations =E2=80=94 "Driving while black= ." They taught me the routine. Something I had never experienced myself.= Flashing red lights. A floodlight blasts through the back window illumi= nating the interior of the car. Every black parent taught his or her chi= ldren how to respond to a police stop. White kids were taught to trust t= he police. Black kids were taught to be cautious around the police. Ther= e was a routine that black men had learned to follow when stopped by the= police. Open the window. Put your hands up. Easy does it. ... "Co= unty: Life, Death and Politics at Chicago's Public Hospital" by David An= sell M.D. Copyright 2011, David Ansell M.D. Published by Academy Chicago= Publishers. All Rights Reserved. Health. Chicago.19341943

        = ;  Consider what images a= word conjours up to what people     = ; Pamela McLean, June 10, 2011. Even the simplest of words may= conjour up completely different images to different people - or even to= ourselves as we picture ourselves in different place. I think of being = with my friends in Nigeria or back home in the UK and of some words that= would conjour up very different pictures in the two situations - school= , kitchen, breakfast, family, water, wedding, party, market, taxi, greet= ings, condolences, morning, evening, rain, sun ... the list could go on.= 1832<= /span>

        = ;  Doubt that we ever act= ually have a shared understanding    &nbs= p; Pamela McLean, June 10, 2011. So many of us are connecting = at a distance with people whose cultures are dramatically different from= our own. We try to communicate about ideas, roles, structures, feelings= - all kinds of complicated things - and it is temping to believe we all= have a shared understanding. Perhaps that never really happens.1831
        = ;  God wants his law to be followed with = all our hearts and our souls     = As Perry Recker noted to me, God ends Deuteronomy with a blessing a= nd curse, and they are like the two branches of the House of Knowledge. = God wants us to obey him, but if we stray, then he wants us to return w= ith all of our hearts and all of our souls. We are to follow the letter= ; but if we don't, won't, can't follow the letter, then even so we are t= o follow with our spirit. Deuteronomy 30:1 It shall happen, when all th= ese things have come on you, the blessing and the curse, which I have se= t before you, and you shall call them to mind among all the nations, whe= re Yahweh your God has driven you, 30:2 and shall return to Yahweh your = God, and shall obey his voice according to all that I command you this d= ay, you and your children, with all your heart, and with all your soul; = 30:3 that then Yahweh your God will turn your captivity, and have compas= sion on you, and will return and gather you from all the peoples, where = Yahweh your God has scattered you. 30:4 If your outcasts are in the utte= rmost parts of the heavens, from there will Yahweh your God gather you, = and from there he will bring you back: 30:5 and Yahweh your God will bri= ng you into the land which your fathers possessed, and you shall possess= it; and he will do you good, and multiply you above your fathers. 30:6 = Yahweh your God will circumcise your heart, and the heart of your seed, = to love Yahweh your God with all your heart, and with all your soul, tha= t you may live. 30:7 Yahweh your God will put all these curses on your e= nemies, and on those who hate you, who persecuted you. 30:8 You shall re= turn and obey the voice of Yahweh, and do all his commandments which I c= ommand you this day. 30:9 Yahweh your God will make you plenteous in all= the work of your hand, in the fruit of your body, and in the fruit of y= our livestock, and in the fruit of your ground, for good: for Yahweh wil= l again rejoice over you for good, as he rejoiced over your fathers; 30:= 10 if you shall obey the voice of Yahweh your God, to keep his commandme= nts and his statutes which are written in this book of the law; if you t= urn to Yahweh your God with all your heart, and with all your soul.1687
=
        = ;  God's children are those who obey his = law which he gave them      D= euteronomy 32:5 They have dealt corruptly with him. They are not his chi= ldren, because of their defect. They are a perverse and crooked generati= on. 32:6 Do you thus requite Yahweh, foolish people and unwise? Isn't he= your father who has bought you? He has made you, and established you. 3= 2:7 Remember the days of old. = Consider the years of many generations. Ask your father, and he will sho= w you; = your elders, and they will tell you. 32:8 When the Most High gave to the= nations their inheritance, when he separated the children of men, he se= t the bounds of the peoples according to the number of the children of I= srael. 32:9 For Yahweh's portion is his people. Jacob is the lot of his = inheritance.16= 89
<= td>
Engage God    &n= bsp; 139=

        =   Considering God's welfare =      496

        =   Engage God   &nb= sp; 390

        =   Engaging God   &= nbsp; 498

        =   Hold God accountable  = ;    391

        =        Who is out to get me? &nbs= p;    Tom Wayburn: As I scrolled through your b= eautiful website ... something reminded me of Calvin's answer when Hobbe= s asked him if he believed in God. "Well, someone's out to get me," quo= th Calvin.9= 17

        =   Presuming God's self-love =      499

        =   Telling God   &n= bsp; 495

	Jesus		=
	Jesus I'm creating a philosophical portrait of Jesus. I'm studying the Gospel for ways that Jesus figured things out. He= understands scriptural revelation. He makes sure to let people keep th= eir freedom, by performing miracles and speaking in parables. He has ex= pectations and emotional responses. He accepts people's hearts. Consid= er the decisions that Jesus made. What system do they form?821 = ; = ; My diagram of Jesus' mind &n= bsp; Here is my sketch of Jesus's mind based on= the ways that he figured things out. See also the diagram above. He w= as very concerned not to cause others to stumble, and hoped he didn't ca= use John the Baptist to stumble, but ultimately, he caused his disciples= to stumble. He spoke of two gates, the narrow to life and the wide to = destruction. He urged people to repent and enter the Kingdom of Heaven,= and he spoke to their belief, and some people did believe, and some wer= e ready to die for him. He hoped that the Kingdom of Heaven could be th= us established. Yet he accepted God's will to save all of the world, no= t just some, and so he accepted death and resurrection. So some people = accepted him as he was, alive, and others dead, as they wished him, yet = resurrected. And so the two branches are made one. Martha gave a great = example of the practical work of the courts where the judge ignored the = law to do what was right, where the judge gave a woman the right to pare= nt a deaf child because she and her daughters had learned sign language = and engaged him whereas his biological father had not. And so if there = is nobody to dispute a ruling, then there is healing, there is justice i= n the most important sense. But if there is somebody to dispute it, the= n it can go up the system, and the laws can be worked out. Or as in the= case of Solomon and the baby, it can become clear, through the process,= what was not clear before it, such as who was the real mother. So the = law supports a culture but ultimately it must be an internally based cul= ture, and that is the "way", the truth and the life, the branch that Jes= us offers, the "gate", the "light".1594 &= nbsp; &= nbsp;Please crowdfund my philosophical portrait= of Jesus! Thank you for con= tributing money and for spreading the word! 1596
		= Math
	=	Math Paul Zeitz, I = share with you my thoughts on the varieties of "deep structure" in mathe= matical "frames of mind". Your book The Art and Craft of Problem= Solving has been profoundly helpful. I also share with Joanne Simp= son Groaney ("Mathematics in Daily Life"), Alan Schoenfeld ("Learning to= = Think Mathematically..."), John Mason ("Thinking Mathematically"), Manue= l Santos, and also Maria Druojkov= a and the Mat= h Future online group where I am active. I have been looking for the "deep ideas" in mathematics. George Poly= a's = book "Mathematical Discovery" documents four patterns (Two Loci, the Car= tesian pattern, recursion, superposition) of the kind I'm looking for (a= nd which bring to mind architect Christopher Alexander's pattern languag= es). Your book documents dozens more. I've found Joanne Groaney's book= helpful and I think the other writings I mention will also be in this r= egard. You note in your "planet problem", pg.63, that "on the surface" it is= a = nasty geometrical problem but "at its core" it is an elegant logical pro= blem. This distinction brings to mind linguist Noah Chomsky's distincti= on between the surface structure and the deep structure of a sentence. = In general, what might that deep structure look like? George Polya ends= his discussion of the pattern of "superposition" or "linear combination= " to say that it imposes a vector space. In an example he gives, the pr= oblem of "finding a polynomial curve that interpolates N points in the p= lane" is solved by "discovering a set of particular solutions which are = a basis for a vector space of linear combinations of them". The surface= problem has a deep solution, and the deep solution is a mathematical st= ructure! I list below 24 such deep structures which characterize the mathemati= cal = "frames of mind" by which we solve problems. I note in parentheses the = related patterns, strategies, tactics, tools, ideas or problems. I have= = included every such that I have found in your book, as well as Polya's = four patterns, "total order" and "weighted average" that I observed in = Joanne Growney's book, and a few more that I know of. Please start with= the illustrative example of constructing an equilateral triangle. 6
		&nbs= p; Gamestorming
		<= p>Gamestorming &nbs= p; 5
		&nb= sp; Andrius Kulikauskas's ways of= figuring things out
		Andrius Kulikauskas's= ways of figuring things out = How can we overview all of these ways of figuring things out = with a general method? Here is a brief overview: Obey the teacher. = If you can't obey the teacher, then believe the good student,= follow their example. = If you can't believe any student, then simply care about the = subject. = If you don't care much, then be honest so that you don't get = stuck, and you can keep trying. If you are honest, then you will start to care, you will appreciate= those who are believable, and you will find the Teacher (that is, God) = who you can obey. The goal of learning is to have the fullness of mind needed to truly = obey. On the one hand, it starts with caring (being open to all outside = us) and then recursively caring about caring (growing our mind), caring = about caring about caring (recognizing our limits), caring about caring = about caring about caring (acknowledging what transcends our limits). On= the other hand, it starts with believing (referencing the absolute with= in us), believing in believing (allowing for others), believing in belie= ving in believing (empathizing with their views), believing in believing= in believing in believing (fostering the spirit amongst us). This growt= h in awareness is fueled by "relative learning" on specific matters thro= ugh a cycle of taking a stand, following through and reflecting. That is= essentially the scientific method, but we may apply it subjectively. We= can realize that we are vulnerable to evil which may lead us astray in = our conclusions. As our caring and believing unfold, we allow for a Pers= on, a person-in-general or simply Jesus, who does what any good person w= ould do, so that Caring about One is the same as Believing in One. Then = we live that Person in four ways: Knowing Whether-What-How-Why One Knows= . We thereby relate to ourselves in every way as Believers and Carers. A= ttention goes from whoever believes to whatever they care about in six w= ays, for example, Believer in Why caring about Whether. These pair ways = of giving attention (why:concentrating, how:distinguishing, what:trackin= g) and what we give attention to (whether:whole, what:part, how:structur= e). These six ways have us think in terms of a conceptual language of ab= solute truth. The six ways are united in the perspective that believing = is wider than caring, and this common outlook is God's perspective, whic= h we take up by obeying. That's my summary of the big picture and I'm wo= rking to flesh it out. More simply, I have trouble making the most of life here and now. The= re is so much temptation to tune myself out and shut myself down. It's b= eyond my will to care to live forever. Yet there may be a God who loves = me more than I love myself, wants me to be alive, sensitive, responsive = more than I do. Such a God wants me to live forever, and grow forever, t= hus to learn forever. That is the will of God. How might I follow the wi= ll of God? I could simply obey. But I fear losing my freedom. Instead, I= could believe one who does obey, such as Jesus, and follow his path and= thus end up where he ends up. But there are many good reasons not to be= lieve. If I have grown up believing something else, then I should be abl= e to be true to my belief, whatever it is, for otherwise I'm not believi= ng absolutely. Instead of obeying or believing, I claim that it is enoug= h to care. If we care, then we will appreciate the success of the one wh= o believes, and we will walk with them and end up in the same place. But= our path will likely be much longer and harder. So be it. As people who= care, we can share a culture of truth where, in each little domain, we = can take our little leap of faith, and exercise our particular way of fi= guring things out. Through the integrity of those ways we can all vouch = for the truth and participate in a culture of absolute knowledge as evid= ent in our figuring things out so that all truth is available and tangib= le. As we practice this, and as we grow familiar with God who we engage = in each particular way, then we can dare to try out many other ways, so = that God and truth become absolutely real. Thus we appreciate the sense = of believing, and even more, the sense in obeying. Yet we also see that = forever we can learn by engaging others in the particular domains where = they feel safe and learning along with them to grow beyond that. And so = we all grow as one in the truth. As I document ways of figuring things out, I am considering how each = way is structured internally. What questions does it take on? (Examples) What does it interest us in? (Surface issue) How does the question create tension? (Evident emotion) How does the answer relax tension? (Counterbalancing emotion) What structure does it evoke? (Deep issue) Who are we conversing with? How do we understand the structure more broadly as us amongst others= ? (Truth of the world) How do we supplement the structure with ourselves? (Truth of the wor= ld follows from the truth of the heart) How does the new structure express God through God's point of view? = (Truth of the heart) How does tension arise anew? Consider also: How we find and engage God? conditions and unconditio= nality, morality, faith, scope, commonality, culture, threads, multiplic= ity of perspectives, negation of assumptions, importance, education, pro= gression, the will of God. I am looking especially for representative ways, one for each room in th= e House of Knowledge. I'm also wondering, what are compositions of ways= of figuring things out? And how do the ways of figuring things out rel= ate to languages of how thing come to matter (argumentation), come to ha= ve meaning (verbalization), and come to happen (narration). 1 &nbs= p; Andrius's quest to know everything &nbs= p; My ten minute video summary of my quest to know everythi= ng that I made in August, 2009.1376
		&n= bsp; Taxonomy
		Taxonomy &n= bsp; I share below my response to a letter asking = for how to create a taxonomy of anecdotes. I describe the House of Know= ledge as a general framework for creating such taxonomies in any field.<= /p> For example, I've written out almost 100 anecdotes about "my money mi= nd", episodes in my life that informed my thoughts about money. I recently re= alized that each of them is informing a particular "way of figuring thin= gs out". And I've developed a system (a House of Knowledge) for categor= izing those ways into 24 frames of mind (or rooms). Dave Gray found it= quite readable, see here. In general, episodes are of the following types. You can think of them = as dialogues with an abstract person or quality that becomes more and more concrete as this unfolds. Avoiding what would keep us from learning: Avoiding evil, not shutting ourselves down One branch models our inner world: Rooting ourselves in our inner world, believing Presuming others likewise, believing in believing Integrating some of us, believing in believing in believing Fostering an environment for integration, believing in believing in believing in believing Another branch models our outer world: Being completely open to the outer world, caring Focusing and maximizing our openness, caring about caring Recognizing the limits of our openness, caring about caring about ca= ring Allowing for an ideal that transcends our limits, caring about carin= g about caring about caring The two branches are loosely coupled by the scientific method: Taking a stand, having a hypothesis, extending the applicability= of what we take to be true Following through, designing and doing an experiment, driving it to = its "logical" conclusion, breaking the model or not Reflecting, noting the outcome, generalizing it as a principle The two branches, taken as wholes, are completely matched: Allowing for a person-in-general, matching up the inner and oute= r worlds Then we have a system where people etc. can substitute for each other. = We can have valuation or truth or reality etc. And we can think of them as= relating two perspectives, like a game player (within the system) and a game maker (beyond the system). There are four levels of knowledge at which game player is related to game maker: 0) Whether. Game player and game maker are taken to be the same,= they are conflated, as when we learn by feeling how we feel in our heart or gut. 1) What. Game player knows what we learn from experience whereas gam= e maker knows the innate model. 2) How. Game player's knowledge is implied by the game maker's knowledge, but not the other way around. 3) Why. Game player and game maker are taken to be different, taking= up different perspectives from Whether-What-How-Why, with the game maker taking the broader perspective, Why being the broadest. (This yields the= six pairings that come next.) Inside the system, there are six more ways, each of which accords with a= counterquestion (doubts such as "How do I know I'm not a robot?" are addressed by relevant counterquestions such as "Would it make any difference?"). Each counterquestion inserts a broader perspective (Why=3DGod's perspective, How=3Dperson-in-general's perspective, What=3Dperson-in-particular's perspective) into a narrower situation (How=3Dperson-in-general's situation, What=3Dperson-in-particular's situ= ation, Whether=3Dworld's situation). So a person-in-general lives out a person-in-particular's situation as that question "Would it make any difference?" Furthermore, each of these ways accords with a restructuri= ng (visualization) for building up a system. How does it seem to me? evokes evolution (hierarchy restructured= by sequence) for determining weights What else should I be doing? evokes atlas (network restructured by hierarchy) for determining connections Would it make any difference? evokes canon (sequence restructured by= network) for determining priorities What do I have control over? evokes chronicle (sequence restructured= by hierarchy) for determining solutions Am I able to consider the question? evokes catalog (hierarchy restructured by network) for determining redundancies Is this the way things should be? evokes tour (network restructured = by sequence) for determining paths (If you want to see concrete examples of these six, look at the Sermon o= n the Mount! Jesus makes use of them all in his "antitheses", "you have heard it said... but I say unto you...", for example, if you love only your friends, how are you different from the pagans?) I also used them = in a concrete form to coach peacemakers to engage murderous gangs on the roads in Kenya, namely: be straightforward, be thorough, be vulnerable, let them win, let them teach you, stick to your principles. And then those last ways are treated as a unity, like the gap or slack between the perspective and situation: There is a greater context in which everything can be reinterpre= ted and get unexpected meaning. (As when 10+4=3D2 because we're talking about a clock.) Another example of the 6+4 model is the Ten Commandments (4 positive "do's" and 6 negative "don'ts") and another example is John Caswell's Business Equation: http://www.selflearners.net/uploads/businessequation.gif You may think it's not practical because it's very abstract and very involved. It may be way too much. It's much of my life's work, and it'= s how I'm relating my life's work. But you can see how I'm applying it to different domains and it becomes concrete: Math, = Physics, Jesus. (In June, 2011, I am crowdfunding Jesus's philosophical portrait.) If you gave me a list of anecdotes, then I could sort them for you and you would see. Then the categories would become more concrete. And= they may perhaps become concrete enough for other people to use, but certainly for you to use. Indeed, this is what I think I should be doing with myself at this time,= what would be best for everybody that I do. I have a system which I thi= nk takes any domain and organizes it according to a universal language. Th= is means that specialists from different domains can talk to each other. B= ut especially, as Pamela McLean has pointed out, it means that interdisciplinary people who are "specialist generalists" and good at talking with specialists from different fields, such people are able to show what they do. I can and will make "philosophical portraits" of suc= h people, both for free and for pay, starting with Jesus and Pamela. It's= a great help for me whoever would have me do their portrait, survey the= ir personal ways of "figuring things out". 1306 = Bob Lichtenbert, a Philosophical= Portrait 2011.05 Andrius Ku= likauskas: I'm creating a philosophical portrait of Bob Lichtenbert.1442 &nb= sp; Pamela McLean, a philosophical port= rait Andrius Kulikauskas= , 2011.05.11: Pamela McLean of Dadama= c agreed that I draw her philosophical portrait by documentin= g and sharing her ways of figuring things out. She's a pioneer! Thank y= ou, Pamela!127= 1
		&nbs= p; Morgan D. Jones of The Thinker= 's Toolkit
		Morgan D. Jones of The Thinker's Toolkit = ; Morgan D. Jones is the author of "The Thinker's Toolkit: Fourteen Skills for Making Smarter Decision= s in Business and in Life", 1995, Random House. He teaches ways of = structuring the analysis of problems so that we don't jump to conclusion= s. He leads Thinker's Works= hop, helped found Analytic= Prowess, writes fiction, and taught analytic methods in Georgetown = University's Master of Science Foreign Service graduate program. He wor= ked in the C.I.A. for 36 years, including as an intelligence analyst of = Soviet military affairs and chief of the Analytic Training Branch. I ta= ke his work to be representative of how the C.I.A. and other intelligenc= e agencies analyze issues. Morgan D. Jones does a great job surveying t= he analytic techniques and providing intuition on how and where to use t= hem. I'm especially interested in discovering how his analytic techniqu= es relate to my ways of organizing, visualizing information. In his book= , he considers applications in business and every day life. I think the= y also reflect on the analytical mindset at the C.I.A. where he learned,= worked and taught. By his own logic, I think it's important to appreci= ate that bias. I suppose it also make sense to supplement them with espi= onage techniques, often clandestine, for gathering facts, as well as= principles for finding moral bearings or not.2092
		&n= bsp; Making a Living
		Making a Living= I apply the "ways of figuring thin= gs out" to my challenge of making a living. I draw on 60 anecdotes that= I wrote up in 2006 about my "money mind". I thought this through in wr= iting a letter to DaveGray, JayCross and others. We can start with: '''Working'''. Don't be idle, unproductive or destru= ctive. Then there are two independent threads, Giving and Taking. Giving: Give everything that I have. Appreciate what others hav= e to give. Learn what is fair in giving. Invest in a culture of giving= . Taking: Accept what I am given. Maximize what I can take. Learn my = limits. Steward what I am given. (In business, especially corporations, there is a similar dichotomy betw= een investors and managers). Such full-fledged giving and taking feed ea= ch other. In my experience, they are only loosely coupled, however, by = Working-in-Parallel based on a three-cycle of Aligning our principles, P= ursuing them, and Taking Stock. ("Common knowledge" sometimes assumes t= hat giving and taking are tightly coupled, but that goes counter to some= of my personal experience.) = Giving and Taking are in sync when we Live As If We Were All One Person.= We can then substitute for ourselves with Valuation. Such a substitut= ion (much like a model substituting for reality) takes place on four lev= els: Peace of mind (A decision substitutes for the decision maker.) Motivation (External motivation substitutes for internal motivation= .) Money (Compensation substitutes for disparity in contributions.) Humility (Autonomy substitutes for morality) In the case of "peace of mind", we conflate ourselves with our avatar, w= hich is to say, as decision maker we are one with our decisions. Wherea= s, in "humility", we divorce ourselves from our avatar. If people truly= want to hang themselves, or be fat, drunk, stupid, mean, sick, ugly, fi= lthy, destructive, uptight, hurtful, if they truly want that, then we'll= sell them the rope in whatever color they want. (Yes, I get stuck at th= at point. Perhaps I doubt if they are truly free.) Humility (or Service) then takes six concrete forms that pair the four l= evels of Servant and Served. They consider what can be done "within the= system" (the market, the firm) (whereas Giving and Taking take place "o= utside the system", among family, friends, neighbors). The mindsets are= given by the following questions: How does it seem to me? Appraise. The calm Servant provides th= e motivated Served with an appraisal, judgment, price. What else should I be doing? Audit. The calm Servant provides the r= ich Served with a budget, alternatives, substitutions. Would it make any difference? Negotiate. The motivated Servant prov= ides the rich Served with choices, priorities, contracts. What do I have control over? Sell. The rich Servant provides the hu= mble Served with possibilities, favors, exceptions. Am I able to consider the question? Cut one's losses. The motivated= Servant provides the humble Served with closure, clarity. Is this the way things should be? Consult. The calm Servant provides= the humble Served with overview, advice. The gap between Servant and Served, expressed in the six ways above, com= es together as Conscientiousness.1098
		&= nbsp; Dee Guyton's ways of figuri= ng things out
		= Dee Guyton's ways of figuring t= hings out See my 40 minute interview of choir director= Dee Guyton about ways she's figured things out in her life, faith and m= usic.2
		&= nbsp; Physics
		Physics &nb= sp; John Harland and I talk about physics. How might= we think of it in terms of "ways of figuring things out" and my overvie= w of that? John and I were graduate students at UCSD in the math depart= ment where we received our Ph.D's. I have a B.A. in Physics and I think= John does, too, but he certainly knows and thinks a lot more about phys= ics than I do. I share my notes based on my understanding of ideas that= John sparked or stated and I tried to make sense of in my system. 849<= /p>
		= Independent trials
		Independent trials &nbs= p; 26
		&nb= sp; Avoiding evil
		Avoiding evil &nb= sp; Avoiding what would keep us from learning. Avoidi= ng evil, not shutting ourselves down 48
		&n= bsp; Measurement
		Measurement = We can always start fresh with a new measurement. E= ach measurement assumes a partial view, an interest in some part of the = system. We don't need a complete description, but rather we tease out w= hatever part of reality that we are interested, even though it is dubiou= s in the big picture, yet our point of view (say, particle or wave) can = be successful, even though incomplete. Yet therefore we need to keep wo= rking with independent measurements. Analogously, in math we can start = fresh with a new piece of paper, or in life we can give a person a new c= hance. 850<= /p>
		= Don't cause believers to stumble
		Don't cause believers = to stumble Jesus warns us no= t to cause others to stumble. He is concerned that he himself not cause = others (such as John the Baptist) to stumble. Ultimately, he causes his = disciples to stumble. Paul says the law of righteousness is the stumblin= g stone. Whereas Peter says that Jesus is the stumbling stone. God is th= e one who causes Israel to stumble. For it wouldn't learn from being tre= ated nicely, thus it must learn from being treated meanly. Thus God is a= teacher and Israel may come to understand. But it is better for Israel,= then it is for Assyria, which is God's instrument of stumbling. Woe, li= kewise, to Satan and all instruments of stumbling. Whereas those who God= makes stumble may yet learn. And those who believe are those who accept= some injustice because they know that justice will come, that the corne= rstone is being laid.1252 = ; Don't= cause the little ones who believe to stumble &nbs= p; Mark 9:38 John said to him, "Teacher, we saw someo= ne who doesn't follow us casting out demons in your name; and we forbade= him, because he doesn't follow us." 9:39 But Jesus said, "Don't forbid = him, for there is no one who will do a mighty work in my name, and be ab= le quickly to speak evil of me. 9:40 For whoever is not against us is on= our side. 9:41 For whoever will give you a cup of water to drink in my = name, because you are Christ's, most certainly I tell you, he will in no= way lose his reward. 9:42 Whoever will cause one of these little ones w= ho believe in me to stumble, it would be better for him if he were throw= n into the sea with a millstone hung around his neck. 9:43 If your hand = causes you to stumble, cut it off. It is better for you to enter into li= fe maimed, rather than having your two hands to go into Gehenna, into th= e unquenchable fire, 9:44 'where their worm doesn't die, and the fire is= not quenched.' 9:45 If your foot causes you to stumble, cut it off. It = is better for you to enter into life lame, rather than having your two f= eet to be cast into Gehenna, into the fire that will never be quenched=C3= =83=C2=A2=C3=A2=E2=80=9A=C2=AC" 9:46 'where their worm doesn't die, and = the fire is not quenched.' 9:47 If your eye causes you to stumble, cast = it out. It is better for you to enter into the Kingdom of God with one e= ye, rather than having two eyes to be cast into the Gehenna of fire, 9:4= 8 'where their worm doesn't die, and the fire is not quenched.'* 9:49 Fo= r everyone will be salted with fire, and every sacrifice will be seasone= d with salt. 9:50 Salt is good, but if the salt has lost its saltiness, = with what will you season it? Have salt in yourselves, and be at peace w= ith one another."1256 = ; Keep = forgiving so they do not stumble = ; Luke 17:1 He said to the disciples, "It is impossible that no o= ccasions of stumbling should come, but woe to him through whom they come= ! 17:2 It would be better for him if a millstone were hung around his ne= ck, and he were thrown into the sea, rather than that he should cause on= e of these little ones to stumble. 17:3 Be careful. If your brother sins= against you, rebuke him. If he repents, forgive him. 17:4 If he sins ag= ainst you seven times in the day, and seven times returns, saying, 'I re= pent,' you shall forgive him."1258 = ; Are you embracing what's right? or= keeping others from embracing it? &nb= sp; Matthew 23:14 "But woe to you, scribes and Pharisees, hypocri= tes! Because you shut up the Kingdom of Heaven against men; for you don'= t enter in yourselves, neither do you allow those who are entering in to= enter. 1565 = ; Be sure to not cause others to stu= mble Matthew 17:24 When = they had come to Capernaum, those who collected the didrachma coins came= to Peter, and said, "Doesn't your teacher pay the didrachma?" 17:25 He = said, "Yes." When he came into the house, Jesus anticipated him, saying,= "What do you think, Simon? From whom do the kings of the earth receive = toll or tribute? From their children, or from strangers?" 17:26 Peter sa= id to him, "From strangers." Jesus said to him, "Therefore the children = are exempt. 17:27 But, lest we cause them to stumble, go to the sea, cas= t a hook, and take up the first fish that comes up. When you have opened= its mouth, you will find a stater coin. Take that, and give it to them = for me and you."2002 = ; Get behind me, Satan! &nb= sp; Matthew 4:8 Again, the devil took him= to an exceedingly high mountain, and showed him all the kingdoms of the= world, and their glory. 4:9 He said to him, "I will give you all of the= se things, if you will fall down and worship me." 4:10 Then Jesus said t= o him, "Get behind me, Satan! For it is written, 'You shall worship the = Lord your God, and you shall serve him only.'"1324 = ; G= et behind me, Satan! Jesus rebukes Peter &nb= sp; Matthew 16:21 From that time, Jesus began to show his d= isciples that he must go to Jerusalem and suffer many things from the el= ders, chief priests, and scribes, and be killed, and the third day be ra= ised up. 16:22 Peter took him aside, and began to rebuke him, saying, "F= ar be it from you, Lord! This will never be done to you." 16:23 But he t= urned, and said to Peter, "Get behind me, Satan! You are a stumbling blo= ck to me, for you are not setting your mind on the things of God, but on= the things of men." 16:24 Then Jesus said to his disciples, "If anyone = desires to come after me, let him deny himself, and take up his cross, a= nd follow me. 16:25 For whoever desires to save his life will lose it, a= nd whoever will lose his life for my sake will find it. 16:26 For what w= ill it profit a man, if he gains the whole world, and forfeits his life?= Or what will a man give in exchange for his life? = 1325 = ; Is Jesus causing others to stumble?= Jesus' is concerned tha= t he himself not be the cause of others, such as John, to stumble. Matth= ew 11:2 Now when John heard in the prison the works of Christ, he sent t= wo of his disciples 11:3 and said to him, "Are you he who comes, or shou= ld we look for another?" 11:4 Jesus answered them, "Go and tell John the= things which you hear and see: 11:5 the blind receive their sight, the = lame walk, the lepers are cleansed, the deaf hear, the dead are raised u= p, and the poor have good news preached to them. 11:6 Blessed is he who = finds no occasion for stumbling in me." 1827 = ; Jesus' prophesies can keep the discipl= es from stumbling John = 16:1 These things have I spoken to you, so that you wouldn't be caused t= o stumble.1374= = ; Jesus' words cause them to have sin John 15:22 If I had not c= ome and spoken to them, they would not have had sin; but now they have n= o excuse for their sin.2044 = ; Whoever causes others to stumble wi= ll be destroyed 18:7 "Wo= e to the world because of occasions of stumbling! For it must be that th= e occasions come, but woe to that person through whom the occasion comes= ! 18:8 If your hand or your foot causes you to stumble, cut it off, and = cast it from you. It is better for you to enter into life maimed or crip= pled, rather than having two hands or two feet to be cast into the etern= al fire. 18:9 If your eye causes you to stumble, pluck it out, and cast = it from you. It is better for you to enter into life with one eye, rathe= r than having two eyes to be cast into the Gehenna of fire.1344
		&nbs= p;Blank sheets	<= /td>
		= Blank sheets &nb= sp;Independent trials. We may think of our mind as blank sheets, = as many as we might need for our work. We shouldn't get stuck, but keep = trying something new, if necessary, keep getting out a blank sheet. We c= an work separately on different parts of a problem. This relates also to= independent events (in probability), independent runs (in automata theo= ry) and independent dimensions (in vector spaces). If something works we= ll, then we should try it out in a different domain. Sarunas Raudys note= s that we must add a bit of noise so that we don't overlearn.9 = ; Get your hands dirty &nbs= p; So we try another strategy, one of the be= st for beginning just about any problem: get your hands dirty. We try p= lugging in some numbers to experiment. If we are lucky, we may see a pa= ttern. ... This is easy and fun to do. Stay loose and experiment. Plug= in lots of numbers. Keep playing around until you see a pattern. Then p= lay around some more, and try to figure out why the pattern you see is h= appening. It is a well-kept secret that much high-level mathematical res= earch is the result of low-tech "plug and chug" methods. The great Carl= Gauss ... was a big fan of this method. In one investigation, he pains= takingly computed the number of integer solutions to x2+y2<=3D90,000= . ... Don't skimp on experimentation! Keep messing around until you thin= k you understand what is going on. Then mess around some more. pg.7,= 30, 36 The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wil= ey & Sons, Inc.1412 = ; Knowing when to give up &= nbsp; Sometimes you just cannot solve a prob= lem. You will have to give up, at least temporarily. All good problem = solvers will occasionally admit defeat. An important part of the proble= m solver's art is knowing when to give up. pg.16, The Art and Craft = of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1414 = ; Mental toughness, confidence and conc= entration But most beginn= ers give up too soon, because they lack the mental toughness attributes = of confidence and concentration. It is hard to work on a problem if you= don't believe that you can solve it, and it is impossible to keep worki= ng past your "frustration threshold". ... You build upon your preexistin= g confidence by working at first on "easy" problems, where "easy" means = that you can solve it after expending a modest effort. ... then work = on harder and harder problems that continually challenge and stretch you= to the limit ... Eventually, you will be able to work for hours single-= mindedly on a problem, and keep other problems simmering on your mental = backburner for days or weeks. ... developing mental toughness takes time= , and maintaining it is a lifetime task. But what could be more fun tha= n thinking about challenging problems as often as possible? pg.16, T= he Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons= , Inc.1415= = ; Practice &nbs= p; Practice by working on lots and lots and lots of prob= lems. Solving them is not as important. It is very healthy to have sever= al unsolved problems banging around your conscious and unconscious mind.= pg.25, The Art and Craft of Problem Solving, Paul Zeitz, 1999, John= Wiley & Sons, Inc.1423 = ; Toughen up &n= bsp; Toughen up by gradually increasing the amount and d= ifficulty of your problem solving work. pg.24, The Art and Craft of = Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1424 = ; Vary the trials &nb= sp; The mouse in the trap ... threw himself violen= tly against the bars, now on this side and then on the other, and in the= last moment he succeeded in squeezing himself through ... We must try a= nd try again until eventually we recognize the slight difference between= the various openings on which everything depends. We must vary our tri= als so that we may explore all sides of the problem. Indeed, we cannot = know in advance on which side is the only practicable opening where we c= an squeeze through. The fundamental method of mice and men is the same; = to try, try again, and to vary the trials so that we do not miss the few= favorable possibilities ... a man can vary his trials more and learn mo= re from the failure of his trials than the mouse. pg.16, The Art and= Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc., qu= oting "Mice and Men" by George Polya, Mathematical Discovery, Volume II,= 1965.1413=
		= Avoiding Evil

		= Not shutting ourselves down
		Not shutting ourselves down<= /span> 1142 = ; Avoid depending on a single method Wikipedia: According to= Badiou, philosophy is suspended from four conditions (art, love, politi= cs, and science), each of them fully independent "truth procedures." (Fo= r Badiou's notion of truth procedures, see below.) Badiou consistently m= aintains throughout his work (but most systematically in Manifesto for P= hilosophy) that philosophy must avoid the temptation to suture itself (t= hat is, to hand over its entire intellectual effort) to any of these ind= ependent truth procedures. When philosophy does suture itself to one of = its conditions (and Badiou argues that the history of philosophy during = the nineteenth and twentieth centuries is primarily a history of sutures= ), what results is a philosophical "disaster."<= a href=3D"http://t.co/ju1KSid#1136">1136 = ; Do not have contempt prior to investi= gation "There is a principle= which is a bar against all information, which is proof against all argu= ments and which cannot fail to keep a man in everlasting ignorance - tha= t principle is contempt prior to investigation." --Herbert Spencer 1587 = = ; Not rushing up from being knocked down &n= bsp; Fresh Air interview of boxer Sugar Ray Leonard, = June 6, 2011: When you get knocked down, the first thing you do is tr= y to compose yourself and not rush up. Don't jump up because of embarras= sment because your equilibrium is still off. And if you jump up too fast= , you're going to stumble. You're going to fall back. The key is to hope= fully be near a rope which you can use as a brace to help you up.1898 = ; Stories of people who ended badly &= nbsp; Fresh Air interview of boxer Sugar Ray Leonard, June = 6, 2011: "I had no intentions whatsoever to become a professional fi= ghter because I had heard horror stories about former boxers who made mo= ney but, in the end, ended up with nothing. I didn't want to be one of t= hose guys."1886 = ; Try different lines of questioning &n= bsp; Her blood pressure was through the roof. I le= afed through the chart and noted it had been controlled in the past. I b= egan to dig to see if I could identify a cause. "How do you feel?" I pro= bed. "All right," she mumbled with her Arkansas accent. "Are you having = any chest pain or problems breathing?" "No suh." I tried another line of= questioning before moving on. "Have you had any recent stress in your l= ife?" Jackpot. Her eyes welled. Her voice remained emotionless. "My gran= -chillin, got kilt. On my fron poich," she said. ... She cowered in pani= c on the other side of the door, inches from her grandchildren. "Ah was = a-scared to open it. Ah din know it were them. Ah din know it were them,= " she repeated. ... Her blood pressure shot up. And remained high two we= eks later. If I had not asked, she would not have told me. "County:= Life, Death and Politics at Chicago's Public Hospital" by David Ansell = M.D. Copyright 2011, David Ansell M.D. Published by Academy Chicago Publ= ishers. All Rights Reserved. Health. Chicago.19341937
		&n= bsp;Don't be content with invalid explanations
		Don't be content with invalid explanations We feel the need to fin= d explanations for everything, regardless of whether the explanations ar= e accurate. ... Explanations, by making sense of an uncertain world, app= arently render the circumstances of life more predictable and thus dimin= ish our anxieties about what the future may hold. ... The compulsion to = explain everything drives our curiosity and our thirst for knowledge of = the world. ... Knowing - finding an explanation for an event - is one of= the most satisfying of human experiences. There is great comfort in rec= ognizing and making sense out of the world. Doing so creates order and c= oherence, and, where there is order, there is safety and contentment. We= are instantly aware of the loss of this inner feeling of safety and con= tentment the moment we don't recognize a pattern in a situation that con= fronts us. ... Unfortunately, our compulsion to explain things can ... g= et us in trouble. When presented with an event that has no particular me= aning, we find one anyway, and we subconsciously don't care whether the = explanation is valid. ... the explanations we give for things don't have= to be true to satisfy our compulsion to explain things. ... being satis= fied, we are then blithely content to move on to something else without = seriously questioning our explanation. This is one of the reasons we hum= ans don't give sufficient consideration to alternatives ... the principa= l cause of faulty analysis. = The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2131 = ; Appreciate that mental shortcuts are at work &= nbsp; Subconscious mental activity continuously in= fluences our analysis and even determines our conclusions. ... Most of w= hat goes on in the mind involves "mental shortcuts" that occur without o= ur knowledge and beyond our conscious control. ... We cannot "teach" the= mind how to work; it works as it works, and taking shortcuts is one of = its ways. These shortcuts are beyond our conscious control. ... And wher= e those shortcuts lead our thinking is anyone's guess. The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2123 = ; Assessing probability honestly &nb= sp; Inflating or deflating probabilities to conform to our des= ires is the curse of wishful thinking: it won't happen to me because I d= on't want it to happen. The Thinker's Toolkit by Morgan D.Jones2146 = ; Be aware of the vividness effect &= nbsp; Information is vivid because it was acquired either trau= matically or recently and thus has made a strong impression on our memor= y. Information that is vivid is therefore more easily remembered than pa= llid, abstract information and, for that reason, has greater influence o= n our thinking. This information can far exceed what it actually deserve= s. The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2128 = ; Be wary of imputing causality &nbs= p; Another kind of patterning is the tendency of the human min= d to look for cause-and-effect relationships. ... We seem to view the wo= rld in terms of cause and effect, and we somehow instinctively know the = difference between the two concepts. ... So we by nature strive to know = why something has happened, is happening, or will happen and what the re= sult was, is, or will be. The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2126 = ; Be wary of seeing patterns <= i> We are driven to view the world around us in terms of patterns= (especially cause and effect). The human mind instinctively views the w= orld in terms of patterns, which it recognizes based on memories of past= experiences. ... We see the patterns in situations ... in sequences of = events ... our compulsion to see patterns can easily mislead us when we = analyze problems. ... patterns can be captivating ... the mind can also= easily miscontrue random events as nonrandom, perceiving a pattern wher= e, in fact, none exists. ... when we want to see a particular pattern or= expect to see it, or have become accustomed to seeing it, not only do w= e fill in missing information but our brain edits out features that don'= t fit the desired or familiar pattern. The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2124 = ; Counter the subconscious mind &nbs= p; Sometimes, when I offer to show people how to structure the= ir analysis of problems, they say, "Sorry, but I'm awfully busy." "No, t= hank you. We don't use things like that here." "Very interesting, but it= sounds a bit arcane." "I wouldn't think of using such Byzantine methods= ." The rejection is so spontaneous and emphatic that it could only be a = mental knee-jerk reflex, not a reasoned response. What could be causing = the unreasoning reflex? Because they have not learned and understood the= techniques, they could not have performed any cost-benefit analysis on = them. They therefore have not assimilated any data on which to base a re= asoned judgment. The only conclusion one can draw is that their reaction= s are purely intuitive, meaning they come from the subconscious mind. A= nd why would the subconscious mind reject these techniques out of hand? = Because structuring one's analysis is fundamentally at odds with the way= the human mind is accustomed to work. ... if we structure our analysis,= the mind can't be free to mess around. That's why the subconscious rebe= ls when it's asked to structure its thinking. The Thinker's Toolkit by Morgan D.Jones2119 = ; Don't begin with conclusions = ; We commonly begin our analysis of a problem by formulating o= ur conclusions; we thus start at what should be the end of the analytic = process. The Thinker's Toolkit by Morgan D.Jone= s2120<= /span> = ; Don't cling to one scenario = In keeping with our troublesome instinctive mental traits, we= first select the scenario we intuitively believe is most likely correct= ... Next, we look for evidence to support that scenario ... we become m= ore and more convinced of our hypothesis and more and more resistant to,= and contemptuous of, contradictory evidence and the alternative scenari= os such evidence supports. The Thinker's Toolkit by Morgan D.Jones2143 = ; Don't commit analytical sins = ; Over the past several decades cognitive science has discover= ed that we humans are unknowingly victimized by instinctive mental trait= s that defeat creative, objective, comprehensive, and accurate analysis.= As a result, we unwittingly, repeatedly, habitually commit a variety of= analytical sins. He lists five analytic sins, which I think relate = to the counterquestions, which serve to keep us from commiting them: Beginning analysis by formulating conclusions. Is this the way t= hings should be? Focusing on our favorite solution and dismissing alternatives. What = else should I be doing? Confuse "discussing and thinking hard" with analyzing. Would it make= any difference? Focus on substance and not process. What do I have control over? Have no concept of structural analysis. Am I able to consider the q= uestion? ... How does it seem to me? The Thinker's Toolkit by Morgan D.Jones2122 = ; Don't favor particular solutions &= nbsp; What else should I be doing? Our analysis usually focuse= s on the solution we intuitively favor; we therefore give inadequate att= ention to alternative solutions. The Thinker'= s Toolkit by Morgan D.Jones2121 = ; Not to be fixated on our chosen solution = ; Humans have a penchant to seek out and put store= in evidence that supports their beliefs and judgments while eschewing a= nd devaluing evidence that does not. ... "What am I supposed to be looki= ng at? What's the point?" In other word's, what's the focus? ... focusi= ng has immense downsides when we analyze problems. It tends to make us v= iew problems one-dimensionally, meaning we tend to focus on (glom on to)= the first solution that makes sense - that offers an explanation - as w= e interpret reality through the lens of our biases. Having focused on a = solution, we are captivated by it and thus become uninterested in altern= ative solutions. Our fixation on our chosen solution therefore causes us= to value evidence that supports that solution and to devalue, disbeliev= e, discredit, and discard evidence that does not. We therefore tend to a= ccept at face value information that is consistent with our beliefs and = to critically scrutinize and discount information that contradicts them.= ... We tend to see in a body of evidence what, according to our mindset= , we expect and want to see and tend not to see, again according to our = mind-set, what we don't expect or don't want to see. = The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2133 = ; Overcome stereotyping Stereotyping is a form of patterning ... I have to struggle against= this impression to see this person as he or she really is; I have to st= ruggle against my own mind... The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.21= 25 = ; Satisficing "Sati= sficing" - picking the first solution that seems satisfactory, rather th= an examining all of the alternative hypotheses to identify not simply on= e that fits the evidence but the one that fits best. The problem is that= most evidence is consistent with several hypotheses. The Thinker's Toolkit by Morgan D.Jones2142 = ; Trial-and-error .= ..we mess up in our efforts to analyze problems much more often than we = are willing to admit. Indeed, the road to humankind's impressive achieve= ments has invariably been paved with failures, many of which have set ba= ck our accomplishments by decades and longer. For every forward stride = there have been telling missteps, because the problem-solving approach t= hat has proven most practical and effective for the human species is the= trial-and-error method. ... In all human affairs, from marriage to mark= eting to management, success is generally built upon failure. And while = some failures are justly attributable to bad luck, most result from faul= ty decisions based on mistaken analysis. The = Thinker's Toolkit by Morgan D.Jones2118
		= Working
		<= p>Working = Don't be idle! Don't be unproductive or destructive.1079 = ; Be put into a = new situation After my f= reshman year my father arranged that I work the summer as an intern for = his employer, Hughes Aircraft. There wasn't much for me to do there wher= e I was assigned so I took the chance to teach myself programming, namel= y, Fortran. My supervisor wanted me to create a graphing program for him= but I didn't have any real guidance and so I ended up focusing on what = I thought was the coolest thing I could do, which was making a program f= or graphing derivatives of trigonometric functions, which was absolutely= useless practically. So I made sure to gain from the experience, but it= was a waste for my supervisor and they didn't have me back.1008 = Not be sheltere= d When I was finishing m= y Ph.D., I wondered how I would make a living, if I was to devote myself= to what I wanted to do. I thought that a university was a sheltered env= ironment and so I would not learn about life.891
		&nb= sp; Leaving

		&nb= sp; Good Will: Building a culture of faith<= /span>
		Good Will: B= uilding a culture of faith T= his is the Kingdom of Heaven where Jesus is the Son of Man. Jesus urges= us to go through the narrow gate that leads to life. Look for the ways= to address Maslow's hierarchy of needs: Cling to what you have; get mor= e than what you need; avoid extremes. Jesus believes in positivity, pre= fers it to negativity as taught by the Father, as given by his aloofness= and prophets and warnings and having them resisted and humiliated and k= illed. But Jesus grows in reflection of the Father's way and ultimately= does his will. Light as opposed to darkness.1855
		= Space	<= /td>
		= Space <= /i> A blank sheet is blank. We may or may not refer to that blankness. W= e may give it a name: identity, zero, one, empty set. The blankness is t= hat origin point, that average, that center which is often unsaid but we= may want to note as the natural, clever reference point, as in the case= of the swimmer's hat that floated downstream (pg.64) Next, we can expan= d around the center by balancing positive and negative, numerator and de= nominator. We thereby introduce parity (Z2), odd or even, affirm or reje= ct, where to reject rejection is to affirm. Next, we can expand terms as= polynomials, as with "and" and "or", and thus create equations that con= struct and relate roots. Finally, we can consider a vector space in whic= h any point can serve as the center for a basis. We thereby construct ex= ternal "space". It is fully fledged in that it can define vectors, thus= model time with arrows that have beginnings they come from and ends the= y go to.10
		&nb= sp; Believing 1-2-3-4
		Believing 1-2-3-4 &= nbsp; In real life, we discard the unessential = to identify God which is deeper than our very depths, around such a core= we allow for ourselves and others, we seek harmony of interests and we = find a unity (Spirit) by which any person can serve as the center. These= four frames are: believing; believing in believing; believing in believ= ing in believing; believing in believing in believing in believing.29
		&nb= sp; Our inner world
		Our inner world &= nbsp; 1667
		= ; Convergence
		Convergence Converg= ence means bringing together and moving toward one point. Whenever we ta= ke a narrower view of a problem, focusing on a single aspect of the puzz= le or eliminating alternative solutions, we are in a convergent mode. The Thinker's Toolkit by Morgan D.Jones2108
		&nb= sp; Giving

		&n= bsp; Particle point of view
		Particle point of view Our measurement can take place w= ithin the frame of measurement. We have a natural frame of reference, f= or example, the center of mass. That center of mass can then be conside= red as balancing different masses, and integrating a system of masses, a= nd ultimately defining a vector space. This is a static, spatial, nonte= mporal point of view. Every state has a location. We can speak of the = state of a system. Analogously, in math we have a blank sheet with a na= tural frame, a center, a balance around that center, a polynomial algebr= a of = constructions, and ultimately, a vector space where a basis makes explic= it that every point can be the center. And in life, we can discard the = unessential, presume only God, allow for both self and others, find harm= ony amongst our interests, and create a space for good Spirit. 851<= /p>
		= What you believe is what happens
		What you believe is wh= at happens "What you believe= is what happens" is the content of many of Jesus's parables, perhaps al= l of those that relate to the kingdom of heaven. Faith is the wish to un= derstand, thus the irresistibility of coming to understand.1250 Faith accepts God's love 2099 = ; Ask in prayer &nbs= p; Matthew 21:20 When the disciples saw it, the= y marveled, saying, "How did the fig tree immediately wither away?" 21:2= 1 Jesus answered them, "Most certainly I tell you, if you have faith, an= d don't doubt, you will not only do what was done to the fig tree, but e= ven if you told this mountain, 'Be taken up and cast into the sea,' it w= ould be done. 21:22 All things, whatever you ask in prayer, believing, y= ou will receive."2049 = ; Believe that God knows what you need = even before you ask Matthew = 6:8 Therefore don't be like them, for your Father knows what things you = need, before you ask him.1432 = ; Believe that you have received Mark 11:22 Jesus answered them= , "Have faith in God. 11:23 For most certainly I tell you, whoever may t= ell this mountain, 'Be taken up and cast into the sea,' and doesn't doub= t in his heart, but believes that what he says is happening; he shall ha= ve whatever he says. 11:24 Therefore I tell you, all things whatever you= pray and ask for, believe that you have received them, and you shall ha= ve them. 2053<= /a> = ; People are saved by their faith Luke 7:47 Therefore I tell you= , her sins, which are many, are forgiven, for she loved much. But to who= m little is forgiven, the same loves little." 7:48 He said to her, "Your= sins are forgiven." 7:49 Those who sat at the table with him began to s= ay to themselves, "Who is this who even forgives sins?" 7:50 He said to = the woman, "Your faith has saved you. Go in peace."= 1366 Faith commands from God's certainty &= nbsp; 2= 103 = ; Assurance in his own path = ; Matthew 8:22 But Jesus said to him, "Fo= llow me, and leave the dead to bury their own dead." 1618 = ; Certainty = ; Mark 11:22 Jesus answered them, "Have faith in God.= 11:23 For most certainly I tell you, whoever may tell this mountain, "B= e taken up and cast into the sea" and doesn't doubt in his heart, but be= lieves that what he says is happening; he shall have whatever he says.1408<= /p> = ; Command the forces of nature Matthew 8:26 He said to them, = "Why are you fearful, O you of little faith?" Then he got up, rebuked th= e wind and the sea, and there was a great calm. 8:27 The men marveled, = saying, "What kind of man is this, that even the wind and the sea obey h= im?" 1621<= /span> = ; Faith evokes duty &nbs= p; When we believe, we take ourselves to be bel= ieved in; and whatever obeys the belief, obeys out of duty. Thus faith = evokes duty. Luke 17:6 The Lord said, "If you had faith like a grain of= mustard seed, you would tell this sycamore tree, 'Be uprooted, and be p= lanted in the sea,' and it would obey you. 17:7 But who is there among y= ou, having a servant plowing or keeping sheep, that will say, when he co= mes in from the field, 'Come immediately and sit down at the table,' 17:= 8 and will not rather tell him, 'Prepare my supper, clothe yourself prop= erly, and serve me, while I eat and drink. Afterward you shall eat and d= rink'? 17:9 Does he thank that servant because he did the things that we= re commanded? I think not. 17:10 Even so you also, when you have done al= l the things that are commanded you, say, 'We are unworthy servants. We = have done our duty.'"2057 &nbs= p; God is glorified when Je= sus' disciples bear fruit Se= e video commentary by Dee Guyton! John 15:7 If you remain in me, and my= words remain in you, you will ask whatever you desire, and it will be d= one for you. 15:8 "In this is my Father glorified, that you bear much fr= uit; and so you will be my disciples.1375 = ; Specific case follows from general p= rinciple Matthew 7:7 "As= k, and it will be given you. Seek, and you will find. Knock, and it will= be opened for you. 7:8 For everyone who asks receives. He who seeks fin= ds. To him who knocks it will be opened. 1478 = ; Teach from authority&nbs= p; Matthew 7:28 It happened, when Jesus h= ad finished saying these things, that the multitudes were astonished at = his teaching, 7:29 for he taught them with authority, and not like the s= cribes. 1483 Faith is for those who wish for change &nbs= p; 2102 = ; The Harvest, those who are attracte= d to his Good News The G= ood News is relevant to those who want healing. Matthew 9:35 Jesus went= about all the cities and the villages, teaching in their synagogues, an= d preaching the Good News of the Kingdom, and healing every disease and = every sickness among the people. 9:36 But when he saw the multitudes, he= was moved with compassion for them, because they were harassed and scat= tered, like sheep without a shepherd. 9:37 Then he said to his disciples= , "The harvest indeed is plentiful, but the laborers are few. 9:38 Pray = therefore that the Lord of the harvest will send out laborers into his h= arvest." 1732<= /a> = ; What does Jesus want? &nb= sp; Matthew 8:2 Behold, a leper came to him and= worshiped him, saying, "Lord, if you want to, you can make me clean." 8= :3 Jesus stretched out his hand, and touched him, saying, "I want to. Be= made clean." Immediately his leprosy was cleansed. 8:4 Jesus said to hi= m, "See that you tell nobody, but go, show yourself to the priest, and o= ffer the gift that Moses commanded, as a testimony to them." = 1600 = ; Who seeks a new outlook&nbs= p; Jesus represents a new outlook and it = is meaningful for those who want to repent and life fresh, live new. Th= ose who are already attached to an outlook, such as the Pharisees or the= disciples of John, don't get excited and attached to the new outlook, f= or they long for the old. Thus these passages come just after those whe= re Jesus says he has come for the sick, not for the healthy. Luke 5:33 = They said to him, "Why do John's disciples often fast and pray, likewise= also the disciples of the Pharisees, but yours eat and drink?" 5:34 He = said to them, "Can you make the friends of the bridegroom fast, while th= e bridegroom is with them? 5:35 But the days will come when the bridegro= om will be taken away from them. Then they will fast in those days." 5:3= 6 He also told a parable to them. "No one puts a piece from a new garmen= t on an old garment, or else he will tear the new, and also the piece fr= om the new will not match the old. 5:37 No one puts new wine into old wi= neskins, or else the new wine will burst the skins, and it will be spill= ed, and the skins will be destroyed. 5:38 But new wine must be put into = fresh wineskins, and both are preserved. 5:39 No man having drunk old wi= ne immediately desires new, for he says, 'The old is better.'" See also= : Matthew 9:14, Mark 2:181726 Faith is irresistible <= span class=3D"mazi">2095= = ; Note the relation between call and r= esponse Matthew 7:7 "Ask= , and it will be given you. Seek, and you will find. Knock, and it will = be opened for you. 7:8 For everyone who asks receives. He who seeks find= s. To him who knocks it will be opened. 1477 = ; What grows larger = Matthew 13:31 He set another parable bef= ore them, saying, "The Kingdom of Heaven is like a grain of mustard seed= , which a man took, and sowed in his field; 13:32 which indeed is smalle= r than all seeds. But when it is grown, it is greater than the herbs, an= d becomes a tree, so that the birds of the air come and lodge in its bra= nches."1980 = ; What spreads through&nb= sp; Matthew 13:33 He spoke another parabl= e to them. "The Kingdom of Heaven is like yeast, which a woman took, and= hid in three measures of meal, until it was all leavened."1981 = ; Why will it obey = ; Luke 17:6 The Lord said, "If you had faith li= ke a grain of mustard seed, you would tell this sycamore tree, 'Be uproo= ted, and be planted in the sea,' and it would obey you.2056 Persistence of faith 2097<= /p> = ; Having faith = ; Matthew 17:20 He said to them, "Because of yo= ur unbelief. For most certainly I tell you, if you have faith as a grain= of mustard seed, you will tell this mountain, 'Move from here to there,= ' and it will move; and nothing will be impossible for you. 17:21 But th= is kind doesn't go out except by prayer and fasting."2046 = ; Must keep praying and not give up<= /span> Luke 18:1 He also spoke a pa= rable to them that they must always pray, and not give up, 18:2 saying, = "There was a judge in a certain city who didn't fear God, and didn't res= pect man. 18:3 A widow was in that city, and she often came to him, sayi= ng, 'Defend me from my adversary!' 18:4 He wouldn't for a while, but aft= erward he said to himself, 'Though I neither fear God, nor respect man, = 18:5 yet because this widow bothers me, I will defend her, or else she w= ill wear me out by her continual coming.'" 18:6 The Lord said, "Listen t= o what the unrighteous judge says. 18:7 Won't God avenge his chosen ones= , who are crying out to him day and night, and yet he exercises patience= with them? 18:8 I tell you that he will avenge them quickly. Neverthele= ss, when the Son of Man comes, will he find faith on the earth?"2060 = ; Not doubt &= nbsp; Matthew 21:20 When the disciples saw it, they m= arveled, saying, "How did the fig tree immediately wither away?" 21:21 J= esus answered them, "Most certainly I tell you, if you have faith, and d= on't doubt, you will not only do what was done to the fig tree, but even= if you told this mountain, 'Be taken up and cast into the sea,' it woul= d be done. 21:22 All things, whatever you ask in prayer, believing, you = will receive."= 2048 = ; Not doubt in your heart&nb= sp; Mark 11:22 Jesus answered them, "Have= faith in God. 11:23 For most certainly I tell you, whoever may tell thi= s mountain, 'Be taken up and cast into the sea,' and doesn't doubt in hi= s heart, but believes that what he says is happening; he shall have what= ever he says. 11:24 Therefore I tell you, all things whatever you pray a= nd ask for, believe that you have received them, and you shall have them= . 2052 Requirement to participate in the Kingdom of Heaven &nb= sp; 2096 = ; The greatest commandment Matthew 22:35 One of them, a lawy= er, asked him a question, testing him. 22:36 "Teacher, which is the grea= test commandment in the law?" 22:37 Jesus said to him, "'You shall love = the Lord your God with all your heart, with all your soul, and with all = your mind.' 22:38 This is the first and great commandment. 22:39 A secon= d likewise is this, 'You shall love your neighbor as yourself.' 22:40 Th= e whole law and the prophets depend on these two commandments."1546 = ; What depends on what?&n= bsp; 22:34 But the Pharisees, when they h= eard that he had silenced the Sadducees, gathered themselves together. 2= 2:35 One of them, a lawyer, asked him a question, testing him. 22:36 "Te= acher, which is the greatest commandment in the law?" 22:37 Jesus said t= o him, "'You shall love the Lord your God with all your heart, with all = your soul, and with all your mind.' 22:38 This is the first and great co= mmandment. 22:39 A second likewise is this, 'You shall love your neighbo= r as yourself.' 22:40 The whole law and the prophets depend on these two= commandments."2019 = ; What is the greatest commandment?<= /a> 22:34 But the Pharisees,= when they heard that he had silenced the Sadducees, gathered themselves= together. 22:35 One of them, a lawyer, asked him a question, testing hi= m. 22:36 "Teacher, which is the greatest commandment in the law?" 22:37 = Jesus said to him, "'You shall love the Lord your God with all your hear= t, with all your soul, and with all your mind.' 22:38 This is the first = and great commandment. 22:39 A second likewise is this, 'You shall love = your neighbor as yourself.' 22:40 The whole law and the prophets depend = on these two commandments."2018 = ; What is the way to life?= The gate of "belief" leads to life= ; the gate of "caring" leads to destruction. We can distinguish the gate= s by seeing who goes through them. Matthew 7:13 "Enter in by the narrow= gate; for wide is the gate and broad is the way that leads to destructi= on, and many are those who enter in by it. 7:14 How narrow is the gate, = and restricted is the way that leads to life! Few are those who find it.= 1486 = ; Who can enter the Kingdom of Heaven Luke 18:24 Jesus, seeing = that he became very sad, said, "How hard it is for those who have riches= to enter into the Kingdom of God! 18:25 For it is easier for a camel to= enter in through a needle's eye, than for a rich man to enter into the = Kingdom of God."2072 = ; Who can enter the Kingdom of Heaven= John 3:5 ... "Most certainl= y I tell you, unless one is born of water and spirit, he can't enter int= o the Kingdom of God! 3:6 That which is born of the flesh is flesh. That= which is born of the Spirit is spirit. 3:7 Don't marvel that I said to = you, 'You must be born anew.' 3:8 The wind blows where it wants to, and = you hear its sound, but don't know where it comes from and where it is g= oing. So is everyone who is born of the Spirit."2080 = ; Who can or can't understand&= nbsp; The word "overcome" is also transla= ted "comprehended". God (who understands) and Jesus (who comes to under= stand) are the same God because they understand the same thing. Thus th= e darkness can't understand the light because it is not God. Only those= who are of God can understand the light. John 1:5 The light shines in = the darkness, and the darkness hasn't overcome it1967 Speak to their faith 2098<= /p> = ; Building on faith as an outlook for = a culture Jesus looks to= people's faith as the test of whether they have a shared culture. And g= iven that faith, he speaks to that culture in them. Matthew 9:2 Behold, = they brought to him a man who was paralyzed, lying on a bed. Jesus, seei= ng their faith, said to the paralytic, "Son, cheer up! Your sins are for= given you." 16= 54 = ; Jesus allows belief to be fulfilled Jesus' will allows for belief= to be fulfilled. Matthew 8:13 Jesus said to the centurion, "Go your way= . Let it be done for you as you have believed." His servant was healed i= n that hour. 1= 609 = ; Jesus believes in the fruitfulness = of their belief Matthew = 9:27 As Jesus passed by from there, two blind men followed him, calling = out and saying, "Have mercy on us, son of David!" 9:28 When he had come = into the house, the blind men came to him. Jesus said to them, "Do you b= elieve that I am able to do this?" They told him, "Yes, Lord." 9:29 Then= he touched their eyes, saying, "According to your faith be it done to y= ou." 9:30 Their eyes were opened. Jesus strictly commanded them, saying,= "See that no one knows about this." 9:31 But they went out and spread a= broad his fame in all that land. 1729 = ; Jesus believes in them, just as the= y believe in him Jesus d= oes as he is requested to do, and does not argue with them as to what to= do, which shows that he believed in them. Matthew 9:18 While he told t= hese things to them, behold, a ruler came and worshiped him, saying, "My= daughter has just died, but come and lay your hand on her, and she will= live." 9:19 Jesus got up and followed him, as did his disciples. ... 9:= 23 When Jesus came into the ruler's house, and saw the flute players, an= d the crowd in noisy disorder, 9:24 he said to them, "Make room, because= the girl isn't dead, but sleeping." They were ridiculing him. 9:25 But = when the crowd was put out, he entered in, took her by the hand, and the= girl arose. 9:26 The report of this went out into all that land.1728 = ; Wo= man issuing blood Matthe= w 9:20 Behold, a woman who had an issue of blood for twelve years came b= ehind him, and touched the fringe of his garment; 9:21 for she said with= in herself, "If I just touch his garment, I will be made well." 9:22 But= Jesus, turning around and seeing her, said, "Daughter, cheer up! Your f= aith has made you well." And the woman was made well from that hour. 1727 = ; Speaking to the good in others= I did a study of the Gospel of Mar= k to understand Jesus' emotional responses, his cognitive expectations a= nd how he responded to them to get things done. He spoke to the good in= others.1332 = ; Why was Jesus born &n= bsp; John 18:37 ... For this reason I have been= born, and for this reason I have come into the world, that I should tes= tify to the truth. Everyone who is of the truth listens to my voice."2100 Their mindset traps them 2101 = ; Incapacity is caused by a demon whi= ch can be cast out Matth= ew 9:32 As they went out, behold, a mute man who was demon possessed was= brought to him. 9:33 When the demon was cast out, the mute man spoke. T= he multitudes marveled, saying, "Nothing like this has ever been seen in= Israel!" 9:34 But the Pharisees said, "By the prince of the demons, he = casts out demons." 1730 = You say that &nbs= p; Jesus frequently responds in a peculiar way, "You'= re the one who is saying that..." It seems that he infers that if someb= ody states a question, then their mind conceives the statement, so that = given that all statements are true, then the person has already made it = true simply by conceiving it, and choosing to say it, thus allow for it,= make it real. Or how else to understand him? Where should the emphasi= s be? Perhaps: You say that... For then the statement is true as a st= atement, even if it is just part of a question. And for Jesus, it seems= , if it is true as a statement, as a word, then it is true in reality.874 = ; Ju= das asks if he will betray Jesus = ; Matthew 26:25 Judas, who betrayed him, answered, "It isn't me, = is it, Rabbi?" He said to him, "You said it."1248 = You s= ay that I am a king. Joh= n 18:37 Pilate therefore said to him, "Are you a king then?" Jesus an= swered, "You say that I am a king. For this reason I have been born, and= for this reason I have come into the world, that I should testify to th= e truth. Everyone who is of the truth listens to my voice."876 = What you believe is what happens. "What you believe is what happen= s" is as much about our limitations - we are bound by the limits of our = minds - as it is about our possibilities. For God is to reach us, and t= hat must take place through our channels that we allow for.830
		&nb= sp;Center
		Center = A blank sheet is blank. We may or may not refer to that blankness. We ma= y give it a name: identity, zero, one, empty set. The blankness is that = origin point, that average, that center which is often unsaid but we may= want to note as the natural, clever reference point, as in the case of = the swimmer's hat that floated downstream (pg.64) (Blank sheet, what is= so central that it is often left unsaid, origin of a coordinate system,= natural or clever point of view, symmetrize an equation, average princi= ple, choice of notation, convenient notation)65 = ; Axiom of the empty set = Wikipedia: There is a set such that no set is a member of it.1162 = The d= ecimal point Dividing a numb= er by 10, we are taught to move the decimal point to the left, but actua= lly, it is the number that moves to the right. The decimal point is a f= ixed reference point. Similary, multiplying a number by 10, it may seem= that the decimal point moves to the right, but actually, the number mov= es to the left.= 807 = ; Zero= is just a place holder Note= that zero is just a place holder and so we don't have to multiply or ad= d by zero in the algorithms. Zero is a fiction (as a numerical value ou= tside of the system) and those operations are placeholder operations (me= aningful only with regard to the particular system). Gospel Math. 1849 = ; Change your point of view = ; Changing your point of view is typicall= y choosing the origin for a coordinate system. Changing the point of= view is just another manifestation of peripheral vision. Sometimes a p= roblem is hard only because we choose the "wrong" point of view. Spendin= g a few minutes searching for the "natural" point of view can pay big di= vidends. pg. 64 The Art and Craft of Problem Solving, Paul Zeitz, 19= 99, John Wiley & Sons, Inc.1522 = ; The = swimmer's hat A person di= ves from a bridge into a river and swims upstream through the water for = 1 hour at constant speed. She then turns around and swims downstream thr= ough the water at the same rate of speed. As the swimmer passes under th= e bridge, a bystander tells her that her hat fell into the river as she = originally dived. The swimmer continues downstream at the same rate of s= peed, catching up with the hat at another bridge exactly 1 mile downstre= am from the first one. What is the speed of the current in miles per hou= r? ... what if we look at things from the hat's point of view? pg. 6= 4 The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & S= ons, Inc.1523<= /a> = ; Considering the simplest point in an = arbitrary coordinate system = In the following problem, the "north pole" is the simplest point to cons= ider, yet the coordinate system was arbitrary, and so the conclusion is = valid for all points. We need some "notation". Let us assume that t= here is a universal coordinate system, such as longitude and latitude, s= o that we can refer to the "same" location on any planet. For example, = if the planets were little balls floating in a room, the location "north= pole" would mean the point on a planet which was closest to the ceiling= . Given such a universal coordinate system, what can we say about a pla= net P which has a private point at location x? Without loss of generalit= y, let x be at the "north pole". Clearly, the centers of all the other p= lanets must lie on the south side of P's "equatorial" plane. But that re= nders the north poles of these planets public ... we have shown pretty e= asily that If location x is private on one planet, it is public on all t= he other planets. pg. 64 The Art and Craft of Problem Solving, Paul = Zeitz, 1999, John Wiley & Sons, Inc.1521 = ; Convenient notation = ; Think about convenient notation. pg.29= , The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & S= ons, Inc.1426<= /a> = ; Invariant with respect to permutation= of some of the roots of a polynomial &nbs= p; The substitution u:=3Dx + 1/x, which helped solve x4+x3= +x*2+x+1=3D0 worked because u is invariant with respect to a permutatio= n of some of the roots. This idea is the germ of ... Galois theory. = pg. 103, The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wi= ley & Sons, Inc.1650 = ; Invariants &n= bsp; An invariant, as the name suggests, is merely some = aspect of a problem - usually a numerical quantity - that does not chang= e, even if many other properties do change.* pg. 102, The Art and Cra= ft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1643 = ; Eule= r's formula Given a polyhedr= on without holes, the numbers of vertices, edges and faces satisfy V - e= + f =3D 2, which is an invariant. See pg. 103, The Art and Craft of Pro= blem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1645 = ; Motel room paradox = Three women check into a motel room which a= dvertises a rate of $27 per night. They each give $10 to the porter, and= ask her to bring back 3 dollar bills. The porter returns to the desk, w= here she learns that the room is actually only $25 per night. She gives = $25 to the motel desk clerk, returns to the room, and gives the guests b= ack each one dollar, deciding not to tell them about the actual rate. T= hus the porter has pocketed $2, while each guest spent 10-1 =3D $9, a to= tal of 2 + 3 x 9 =3D $29. What happened to the other dollar? ... The act= ual "invariant" here is not $30, but $27, the amount that the guests spe= nd, and this will always equal the amount that the porter took ($2) plus= the amount that went to the desk ($25). pg. 22, 102, The Art and Cr= aft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1647 = ; Notation &nbs= p; Adding notation is typically referencing everything with= regard to an origin, a reference point. We need some "notation". L= et us assume that there is a universal coordinate system, such as longit= ude and latitude, so that we can refer to the "same" location on any pla= net. For example, if the planets were little balls floating in a room, = the location "north pole" would mean the point on a planet which was clo= sest to the ceiling. Given such a universal coordinate system, what can= we say about a planet P which has a private point at location x? pg= . 64 The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley = & Sons, Inc.15= 20
		= Believing	=

		= Rooting ourselves in our inner world
	Rooting ourselves = in our inner world 1669 = ; Having a complete desire to win &nb= sp; Fresh Air interview of boxer Sugar Ray Leonard, June 6,= 2011: But there are a few, that have that intestinal fortitude, and = they want to win at any cost. That's the guy who's listening to whatever= his corner has to say.1896
		= Give everything away
		Give everything away &n= bsp; 1080 = ; Give away what= I have I ultimately col= lected about two hundred classics of rock music but it was getting diffi= cult to buy albums and CDs were very pricey. So I gave away my collectio= n, mostly to some rock musicians from Lithuania. It was nice that they a= ppreciated the albums.1013 = Let go of what = I have I won about thirt= y trophies in my chess playing days. And when I finished high school I m= ade sure to give them all away to our high school chess club where they = all ended up getting recycled. It was nice to clear that all away. 979<= /p> = Take Jesus seri= ously One year, after I = and my brother and sister had all finished our schooling, our parents ga= ve us each a substantial sum of money. I used part to clear my loans, an= d then I decided that I should not save the rest, but give it away, taki= ng JesusChrist seriously. I told my parents I didn't need it and could g= ive it back, but they said no. So I gave more than half to my cousin, wh= o had worked for a year to help his stepfather at his body shop without = hardly any remuneration. I thought it could make clear that I cared. My = parents were shocked and hurt and angry. They said that if they wanted t= o give charity (which they do) then they would give it themselves. My co= usin was delighted and decided to spend it on three things that he had a= lways wanted: back taxes on his land which his father had left him, a BM= W motorcycle, and the Encyclopedia Britannica. All of which seemed a bit= vain, but it was his choice, except I was not happy that he had spent t= housands of dollars on the encyclopedia and I argued that it didn't make= any sense given how much he would read it and how technology was evolvi= ng and that he should ask for his money back while he still had the chan= ce. I felt relieved that he did indeed back out of the encyclopedia. So = I learned that it was all right to give it all away, but it was good to = care what happened to it. I didn't grow super close with my cousin excep= t that I think we feel good about each other and I imagine that the mone= y did have a good impact on his spirits because his life course seemed t= o pick up around then. 964<= /p>
		&nb= sp; My actions

		= Replying to Scripture with Scripture
	Replying to Script= ure with Scripture The great= er context makes exceptions legitimate.1329 = ; Analogy of us to others&= nbsp; Matthew 7:12 Therefore whatever you= desire for men to do to you, you shall also do to them; for this is the= law and the prophets. 1481 = ; Appreciating the power of God Mark 12:24 Jesus answered them,= "Isn't this because you are mistaken, not knowing the Scriptures, nor t= he power of God? 12:25 For when they will rise from the dead, they neith= er marry, nor are given in marriage, but are like angels in heaven.1406 = = ; How much does Jesus demand of them= ? Matthew 11:29 Take my = yoke upon you, and learn from me, for I am gentle and lowly in heart; an= d you will find rest for your souls. 11:30 For my yoke is easy, and my b= urden is light.1919 = ; Know Scripture = Mark 12:24 Jesus answered them, "Isn't this be= cause you are mistaken, not knowing the Scriptures, nor the power of God= ? ... 12:26 But about the dead, that they are raised; haven't you read i= n the book of Moses, about the Bush, how God spoke to him, saying, "I am= the God of Abraham, the God of Isaac, and the God of Jacob" 12:27 He is= not the God of the dead, but of the living. 1401 = ; Ponder Scripture &n= bsp; Matthew 22:41 Now while the Pharisees were gathe= red together, Jesus asked them a question, 22:42 saying, "What do you th= ink of the Christ? Whose son is he?" They said to him, "Of David." 22:43= He said to them, "How then does David in the Spirit call him Lord, sayi= ng, 22:44 'The Lord said to my Lord, sit on my right hand, until I make = your enemies a footstool for your feet?' 22:45 "If then David calls him = Lord, how is he his son?" 22:46 No one was able to answer him a word, ne= ither did any man dare ask him any more questions from that day forth.1335<= /p> = ; Replying to Scripture with Scripture= In Matthew, the devil c= ites the Scripture in tempting Jesus, and Jesus responds with Scripture,= and only Scripture, except for "Get behind me Satan!" with his last rep= ly. Jesus seems to accord to Scripture greater assurance than anything = he could say with his own mind.1319 = ; What do people need to hear? Matthew 10:7 As you go, preach= , saying, 'The Kingdom of Heaven is at hand!'1762 = ; What God wishes for = ; Matthew 9:12 When Jesus heard it, he sa= id to them, "Those who are healthy have no need for a physician, but tho= se who are sick do. 9:13 But you go and learn what this means: 'I desire= mercy, and not sacrifice,' for I came not to call the righteous, but si= nners to repentance." 1718 = ; What is the law and the prophets? Matthew 7:12 Therefore wh= atever you desire for men to do to you, you shall also do to them; for t= his is the law and the prophets. 1482 = ; What lets one read Scripture with = fresh eyes Matthew 13:51= Jesus said to them, "Have you understood all these things?" They answer= ed him, "Yes, Lord." 13:52 He said to them, "Therefore every scribe who = has been made a disciple in the Kingdom of Heaven is like a man who is a= householder, who brings out of his treasure new and old things."1989 = ; What might have changed the course= of history Matthew 11:2= 0 Then he began to denounce the cities in which most of his mighty works= had been done, because they didn't repent. 11:21 "Woe to you, Chorazin!= Woe to you, Bethsaida! For if the mighty works had been done in Tyre an= d Sidon which were done in you, they would have repented long ago in sac= kcloth and ashes. 11:22 But I tell you, it will be more tolerable for Ty= re and Sidon on the day of judgment than for you. 11:23 You, Capernaum, = who are exalted to heaven, you will go down to Hades. For if the mighty = works had been done in Sodom which were done in you, it would have remai= ned until this day. 11:24 But I tell you that it will be more tolerable = for the land of Sodom, on the day of judgment, than for you." = 1907 = ; Who declares that he is the Son of = God Jesus wants to act a= s man, not as God. Matthew 8:29 Behold, they cried out, saying, "What do= we have to do with you, Jesus, Son of God? Have you come here to tormen= t us before the time?" 1624 = ; Who is worthy of Jesus&= nbsp; We must love God beyond individuals= in order to love God through an individual, Jesus. Matthew 10:37 He who= loves father or mother more than me is not worthy of me; and he who lov= es son or daughter more than me isn't worthy of me. 10:38 He who doesn't= take his cross and follow after me, isn't worthy of me. 1813 What makes exceptions legitimate &nbs= p; Jesus notes that in Scripture there are cases of excepti= ons. And those exceptions are made legitimate, for example, by the grea= ter context, such as the temple, or even greater than that, the Son of M= an. Matthew 12:1 At that time, Jesus went on the Sabbath day through th= e grain fields. His disciples were hungry and began to pluck heads of gr= ain and to eat. 12:2 But the Pharisees, when they saw it, said to him, "= Behold, your disciples do what is not lawful to do on the Sabbath." 12:3= But he said to them, "Haven't you read what David did, when he was hung= ry, and those who were with him; 12:4 how he entered into God's house, a= nd ate the show bread, which was not lawful for him to eat, neither for = those who were with him, but only for the priests? 12:5 Or have you not = read in the law, that on the Sabbath day, the priests in the temple prof= ane the Sabbath, and are guiltless? 12:6 But I tell you that one greater= than the temple is here. 1924
		&nb= sp;Balance
		<= span class=3D"dideli">Balance We can expand around the center by balancing positive and negative, nu= merator and denominator. We thereby introduce parity (Z2), odd or even, = affirm or reject, where to reject rejection is to affirm. (Parity, Z2: a= ffirm-reject, multiplication by one, addition of zero, union with empty = set, expansion around center) 66 = ; Add zero creatively = ; Many [factoring] problems involve combinat= ions of these formulas, along with basic strategies (for example, wishfu= l thinking), awareness of symmetry, and the value add zero creatively=* tool.* Zeitz gives the example of factoring x4 + 4, thinking = wishfully that it was the difference of two squares, and making more per= fect squares appear by adding 0 =3D 4x2 - 4x2. pg. 163, The Art and = Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc. 1378 = ; Comp= leting the square by adding zero = x2 + ax =3D x2 + ax + a2/4 - a2/4 =3D (x + a/2)2 - (a/2= )2 One way to discover this completing-the-square formula is to add = zero creatively, as above. pg. 163, The Art and Craft of Problem Solving= , Paul Zeitz, 1999, John Wiley & Sons, Inc. 1380 = ; Easy invariants &nb= sp; Be on the lookout for "easy" invariants. Check= to see if you can rearrange your problem to get simple numbers such as = zero or one. pg.106, The Art and Craft of Problem Solving, Paul Zeit= z, 1999, John Wiley & Sons, Inc. 1742 = ; Homogeneous coloration &n= bsp; Parity is invoked by a coloration which is= homogeneous or not. Is it possible to tile a 66 x 62 rectangle with= 12 x 1 rectangles? ... Color the squares of the 66 x 62 rectangle with = 12 colors in a cyclic "diagonal" pattern... This coloring has the nice p= roperty that any 12 x 1 rectangle in the tiling consists of 12 different= ly colored squares ... each color occurs in the same number of squares. = We will call such a coloration "homogeneous". ... We can break it up int= o 4 sub-rectangles ... the entire large rectangle is not homogeneous...<= /i> pg.111, The Art and Craft of Problem Solving, Paul Zeitz, 1999, John= Wiley & Sons, Inc. 1746 = ; Modular arithmetic = ; Modular arithmetic arguments are typically pa= rity arguments (divisible by N - not divisible by N). Let N be a 4-di= git number with decimal representation abcd. Then n =3D 103 a + 102 = b + 10 c + d. ... 10k =3D 1k =3D 1 (mod 9) ... n =3D 103 a + 10= 2 b + 10 c + d =3D 1 a + 1 b + 1 c + d (mod 9) ... The important thing i= s to be aware of the possibility that an invariant may be a quantity mod= ulo m for a properly chosen m. pg.110, The Art and Craft of Problem = Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc. = 1744 = ; Multiply cleverly by one = The sister to the add zero creatively= tool is the multiply cleverly by one. pg. 163, The Art and C= raft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc. 1379 = = ; Parity = Integers are divided into two parity classes: even and= odd. The even integers are divisible by 2, the odds are not. Note that = zero is even. ... The parity of a sum of a set of integers is odd if and= only if the number of odd elements is odd. The parity of a product of a= set of integers is odd if and only if there are no even elements in the= set. ... knowledge of parity is sometimes all that is needed, especiall= y if parity is involved in the statement of the problem. ... Whenever a = problem involves integers, ask yourself if there are any parity restrict= ions. Experiment with different values than the given if necessary. ... = Parity works amazingly well, but it is rather crude. After all, we are = reducing the infinite universe of integers into a tiny world inhabited b= y just two entries, "even" and "odd". pg. 104, 106, 110 The Art and = Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1511 = = ; 127 = people in a tennis tournament If 127 people play in a singles tennis tournament, prove that at th= e end of the tournament, the number of people who have played an odd num= ber of games is even. ... each game has exactly two people playing it...= the sum counts every game that has been played exactly twice! ... the s= um above is even, and is a sum of an odd number (127) of elements. If an= odd number of them were odd, the sum would not be even... pg. 102, = The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Son= s, Inc.1644 = ; Pari= ty problem: Dominos on a chessboard = Remove the two diagonally opposite corner squares of a chessb= oard. Is it possible to tile this shape with thirty-one 2 x 1 "dominos"?= ... At first, it seems like a geometric/combinatorial problem with many= cases and subcases. But it is really just a question about counting col= ors. The two corners that were removed wre both (without loss of general= ity) white, so the shape we are interested in contains 32 black and 30 w= hite squares. Yet any domino, once it is placed, will occupy exactly one= black and one white square. The 31 dominos thus require 31 black and 31= white squares, so tiling is impossible. pg. 60 The Art and Craft of= Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1509 = ; Parity of a sum or product&nbs= p; Let a1, a2, ..., aN represent an ar= bitrary arrangement of the numbers 1, 2, 3,...N. Prove that, if N is od= d, the product (a1-1)(a2-2)...(aN-N) is an even number. ... The crux mov= e: consider the sum (a1-1) + (a2-2) + ... + (aN-N) pg. 105 The Art a= nd Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1743<= /p>
		= Respect - Implicitly Care
		Respect - Implicitly Ca= re 186 = Five-Fingered Consensus &nbs= p; gauge extent of consensus 379 = Help Me Understand &nb= sp; know what participants want to know 381 = Red:Green Cards = honor feedback 380
		= Believing in believing
		Believing in believing&nb= sp; Allowing for self and others. Listen t= o others and God, appreciate what they care about as given by their choi= ces, words and actions. Take that to heart.37 Disposing myself with regard to another &nbs= p; Conversing with: goodness 569 = Empathize with abstract person&= nbsp; Conversing with: person's fate I may= think things through without experience but by empathizing with an abst= ract person. This helps me to be sensitive to human weaknesses, to resp= ond seriously to any talk of suicide, to think compassionately about the= education system, health care system, to expect meaning in physical int= imacy. I can consider, how might I help a person-in-general in particul= ar circumstances?595 &nbs= p; Existential conversation with God &n= bsp;Conversing with: God I think of an "existential conversation"= with God as one where I don't presume to hear directly from God, but ra= ther, link up my existential situation with God's existential situation,= and walk through conclusions based on that.548 = Good wins out over bad &nb= sp; Conversing with: goodness In presuming that = good must be more relevant than bad, I understood to give priority to go= od will exercises that grew out of positive feelings (and so expressed r= ight thinking we could share) instead of those that addressed negative f= eelings.672= = Increase God's possibilities&nb= sp; Conversing with: God's will In 2002, I= had reached my limits financially. I had failed to generate interest i= n an import/export standard for tools for organizing thoughts. I was in= Chicago, and I had to think of finding any job. Indeed, my plan had be= en that, having a mathematics Ph.D. and some programming skills, I could= always find a job. However, the US was in a recession. And I realized= that my resume did not reflect a standard career and, with hundreds of = people applying for each job, I would be weeded out early on for almost = all jobs. Yet my own rationalizations could keep me from finding work, = too. How could I know what to do? So I decided to increase God's possi= bilities by taking a fourfold approach. I applied for some full time po= sitions. I applied for work through temp agencies (but the little work = they had went to their earlier workers). I wrote some ambitious proposal= s for my lab (including writing a paper which won a travel award and too= k me to India and then home to Lithuania). I looked for part-time work = through my network and was hired by Shannon Clark for a few months of co= rporate work that paid well. By taking all approaches I felt that I kep= t myself open to God's plans for me.693 = What would be fair &= nbsp; Conversing with: God As a six-year-old child, I = engaged God in an existential conversation. I wished to apply myself to= know everything, partly for its own sake, and partly to make good use o= f that knowledge. I was concerned that to seek such knowledge I would n= eed to think freely, which could be very dangerous and lead me astray. = I thus offered that, if he let me think freely, even think that God does= n't exist, then on my part, I would always believe in him. 609 = ; What would be reasonable = As a child, I had made an offer to God, = which seemed reasonable, and I felt God's presence, and I wondered if I = should have a sign to confirm this understanding. But then I thought it = would be wrong to ask for a sign, to look for a sign, to demand a sign, = as I might invent a sign, or depend on a sign, and be lead astray. So I = told God that my sign would be that I have no sign, and that if he ever = meant otherwise, he would give me a sign.1223 Take another to heart Convers= ing with: other 535 = Acknowledging people's natural inclina= tion Conversing with: people's in= clinations In developing good will exercises, I learned that people = who are riled about some surface subject typically aren't too interested= in the deeper issue that fuels it. People, in general, aren't interest= ed in whatever would make them more responsible, such as truly knowing e= verything or hearing from God.645 = Be interrogated &nbs= p; Conversing with: my virtue I try to accept provocat= ions from Jehovah's Witnesses and evangelicals regarding my life. I fee= l disturbed when they don't show interest in me, but treat me presumptuo= usly as an infidel or sinner. Yet this is how I stay open, how I learn = about myself and the weakness of their doctrine.761 = Correspond openly &n= bsp; Conversing with: extensions By corresponding open= ly, through mailing groups with public archives, I am able to learn to w= hat extent I shape a new culture or clash with an existing one. I learn= how others maintain or influence a culture. I saw how Janet Feldman fe= lt offended by my righteousness when I openly criticized Peter Ongele fo= r asking me for funds rather than explaining when he would repay me the = money I loaned him.734 = Dialogue with another &nbs= p; Conversing with: others as they understand themse= lves In speaking with others, I developed 12 questions that I though= t were especially useful for understanding, engaging and supporting them= .630= = Heartful interaction = ; Conversing with: others as equals As I develop= ed good will exercises, through many conversations with others, I learne= d that I could open up to new angles by alternatively stepping in (looki= ng subjectively) and stepping out (stepping back, looking objectively). = I learned how to get past the surface issue, the "hot button" issue, an= d get to the deep issue underlying it.646 = Imagine another's mindset = Conversing with: person In studying Jesus= 's emotions as documented in the Gospel of Mark, I imagined Jesus's mind= set, what were his expectations that led to his emotions, and how did he= respond? In talking with a person, I can imagine what keeps them from = saying things they might say.649 = Note what is interesting to others Conversing with: their attention= I learn more with and from others by being open to what they are intere= sted. In looking for participants for good will exercises, I would ask = what issues riled them. In looking for work or clients, I look for who = I might serve, and how. In organizing online groups, I center them arou= nd the deepest value of a leader. That way I hope that at least two of = us, they and I, will be active. In general, I learn that there are peop= le who are fascinated by things that I am not, but could be, and so they= help me stretch and grow.650 = Share what God says = Conversing with: people's relationship with God= Almost every morning I link up with God, listen to him and write down w= hat he says. Sometimes I share that with other people. That helps me a= ppreciate that a relationship with God is, it seems, most relevant on a = personal level.= 781 = Show good will = ; Conversing with: another's wishes My father taught m= e to always show good will. I saw him practice that many times in many = ways. Showing good will helps me imagine but also notice others' wishes= , purpose and good will.684 = Take a remark to heart &nb= sp; Conversing with: another's perspective I tak= e to heart remarks by my parents and my loved ones. My father ever taug= ht me to stand erect and to walk with my feet straight. I take to heart= remarks by my students and their parents. Some of them would worry abo= ut grades and exams. I may not have the same concerns, and I may not ag= ree with their conclusions, but I can't deny their feelings. I want to = make sure that I am doing what's right and so I have to be mindful of th= eir concerns and address them by changing my behavior, by making it unde= rstandable or at least, by showing respect for them.749 = Take counsel to heart &nbs= p; Conversing with: loving care As a boy, I was = in love with a popular girl, Lacie Diaz, who said but a few words to me,= but which I took to heart: Not to curse like the other kids, for it did= not suit me. To wear wire-framed glasses, which I only could many year= s later. Another young woman taught me to say compliments. And a young= man, Johnny Gonzales, after many years of saving me, told me to fight m= y own battles.7= 44 = Take to heart Jesus's ideas&nbs= p; Conversing with: spirit free of this world<= /i> Love your enemy, give everything away, be true to your wife, pray in= twos and threes, engage God.779 = Take up another's perspective&n= bsp; Conversing with: other's wisdom I ima= gined God's perspective to think that "days of creation" might mean "div= isions of everything". I embraced Jesus' perspective such as "love your= enemy" and "give everything away". I committed myself to my parents' pe= rspective of living our Lithuanian identity and culture. I respected my= childhood peers' perspective of the meaningfulness of being cool.596 = Take up my enemy's point of view Conversing with: excluded person W= hen I take up the point of view of a person antagonistic to me, I can le= arn what they want from me and others. I can focus on that.740 = Taking to heart people's perspective Conversing with: people's inclinat= ions People weren't very interested to do good will exercises with m= e. They aren't very interested in my laboratory's services. I keep the= ir interests in mind to know that my activities aren't central or basic = in most people's lives and that I may be fundamentally on the wrong trac= k.643
		= Presuming others likewise
		Presuming others likewise 1670 = ; Develop our own unders= tanding likewise Pamela = McLean, June 10, 2011. Perhaps all we ever really do in dig deeper in= to our own understanding, and develop that, in response to someone else = sharing their own explorations of understanding.1833 = ; Having someone who sounds urgent but not desperate&n= bsp; Fresh Air interview of boxer Sugar R= ay Leonard, June 6, 2011: The key is having someone who's composed, s= omeone who has experience. Someone who wants you to get out there and go= at the guy but who doesn't sound so desperate or frustrated. And Angelo= Dundee was that guy, who was in my corner, who said the right things at= the right time."1897 = ; Make eye contact that you are OK &n= bsp; Fresh Air interview of boxer Sugar Ray Leonard, June 6= , 2011: While you're doing that, make eye contact with the referee to= give him [the] sense that you're OK.1899 = ; Trust the person you are improvising with = ; Fresh Air interview of Steve Coogan, June 9, = 2011: Coogan tells Fresh Air's Dave Davies that playing a version of = himself was harder than playing fictional characters, in part because of= the way he had to think about himself in front of a camera. "My biggest= fear, really, was that it would be self-indulgent," he says. "Actors pl= ay my parents and actors play various people I meet, but the only real p= eople are Rob and I. So it's a very difficult thing to try and be creati= ve in that type of environment. But if you trust the person you're with,= then you know when you're improvising you'll be able to create stuff an= d come up with ideas."1873
		&n= bsp;Major factors, major issues
		Major factors, major issues &nbs= p; First, nearly all situations, even the more complex a= nd dynamic, are driven by only a few major factors. Factors are things, = circumstances or conditions that cause something to happen. Factors, in = turn, beget issues, which are points or questions to be disputed or deci= ded. ... Major factors and major issues are the navigational aids of ana= lysis; they tell us where our analysis should be headed. And they normal= ly change as we become aware of new information and gain a deeper unders= tanding of the problem. If we lose sight of them, we lose our way in the= analytic process. We should concentrate our analytic efforts on the maj= or factors and issues. Studying subtleties (lesser factors and issues), = incorporating them into our analysis, and weighting their impact on the = situation and its possible outcomes are usually a waste of time because = subtleties never play a significant role. ... The first insight, therefo= re, is to create at the outset and maintain throughout the problem-solvi= ng process a list of major factors and issues, adding and deleting items= as necessary. The Thinker's Toolkit by Morga= n D.Jones2= 106
		= Appreciate others
	=	Appreciate others &= nbsp; As we give, we appreciate what others can and d= o give, for we may have them give on our behalf.1081 = ; Express apprec= iation through gifts Whe= n I go traveling and staying with people it is good to have some kind of= present to express my appreciation. So I try to think through and carry= gifts that would be special but for people who I might not even know ye= t. So in Lithuania I sometimes buy small pieces of art or blank leather = bound books.10= 69 = ; Handicapping s= o as to even out chances = My father taught me and my brother how to play chess. He would not play= easy but rather he would handicap himself by removing several of his pi= eces from the board, enough to even out our chances. As we got better an= d would beat him, he would reduce the handicap. First it was a queen and= two rooks, later a queen, then a rook, then a bishop, then a knight, un= til one day we could beat him. Because you can't learn from somebody who= is not playing to win! I was always impressed by how smart and kind he = was as a teacher.1006 = Note others' pr= inciples My parents have= a principle never to give me a loan, even a short term loan that might = be very helpful. However, they are very steadfast in giving me gifts if = I need help, even if they are unhappy about it. 965<= /p> = ; Noting people'= s inclinations When I wa= s in Lithuania, during the independence movement, I saw that the newly f= orming youth organizations could work together and be stronger. I though= t that they could share things like video equipment. But it turned out t= hat nobody ever wanted to share, each deeply preferred to have their own= .1064 = ; Take family st= ories to heart After the= war in Soviet-occupied Lithuania there was not much food and our relati= ves ate from one bowl and they say the children who ate slower ended up = smaller.1071 = ; Take to heart = my employer's wishes I w= orked a summer for a Lithuanian organization on a special project making= cassettes for the blind. One weekend they wanted me to come in to help = stuff envelopes. I refused because I said it wasn't part of my job descr= iption. They were unhappy. But I let them down.1066
		&nb= sp; Hear
		<= p>Hear 136 Listen 83 = Asking our group &nb= sp; 386 = Consider what others say &= nbsp; 407 = Get feedback from people &= nbsp; 392 = Identify with the words of a song 395 = Listening to elders = 527 = Listening to others = 455 = Listening to what you have to say 402 = Notice what a person does = 494 = Taking music and words to heart= 403 Others' awareness 99 = Considering who knows &nbs= p; 440 = Considering who needs to know what 442 = Knowing if someone is paid = ; 449 Others' intentions 88 = Asking about intentions &n= bsp; 416 = Noting choices people could have made<= /span> 446 = Noting choices people make = ; 447 = Serving others = ; 394 = Think of others as equals = 408
		= Accepting God's justice
		Accepting God's justice&= nbsp; We may have real reason to note tha= t what God does in particular cases is unfair. Yet by accepting God's j= ustice, even God's unfairness to us, we allow him more possibilities and= we participate with him to create an outstanding justice in the big pic= ture. We thus heal ourselves, and next we can heal others. Adding our s= lack, which is mercy.1347 = ; Dependence on circumstances Matthew 9:14 Then John's discip= les came to him, saying, "Why do we and the Pharisees fast often, but yo= ur disciples don't fast?" 9:15 Jesus said to them, "Can the friends of t= he bridegroom mourn, as long as the bridegroom is with them? But the day= s will come when the bridegroom will be taken away from them, and then t= hey will fast.= 1723 = ; Add his faith where faith is lacking<= /span> Matthew 8:23 When he got int= o a boat, his disciples followed him. 8:24 Behold, a violent storm came = up on the sea, so much that the boat was covered with the waves, but he = was asleep. 8:25 They came to him, and woke him up, saying, "Save us, Lo= rd! We are dying!" 8:26 He said to them, "Why are you fearful, O you of = little faith?" Then he got up, rebuked the wind and the sea, and there w= as a great calm.1620 = ; Be thankful to God = ; Matthew 11:25 At that time, Jesus answe= red, "I thank you, Father, Lord of heaven and earth, that you hid these = things from the wise and understanding, and revealed them to infants. 11= :26 Yes, Father, for so it was well-pleasing in your sight. = 1909 = ; God's justice rewards those who have = not yet been rewarded Matthe= w 6:1 "Be careful that you don't do your charitable giving before men, t= o be seen by them, or else you have no reward from your Father who is in= heaven. 6:2 Therefore when you do merciful deeds, don't sound a trumpet= before yourself, as the hypocrites do in the synagogues and in the stre= ets, that they may get glory from men. Most certainly I tell you, they h= ave received their reward. 6:3 But when you do merciful deeds, don't let= your left hand know what your right hand does, 6:4 so that your mercifu= l deeds may be in secret, then your Father who sees in secret will rewar= d you openly. = 1598 = ; How others value followers Matthew 10:24 "A disciple is no= t above his teacher, nor a servant above his lord. 10:25 It is enough fo= r the disciple that he be like his teacher, and the servant like his lor= d. If they have called the master of the house Beelzebul, how much more = those of his household!1802 = ; Know the opposing culture, thus know= what they are thinking = Jesus is familiar with a culture based on faith (the Kingdom of Heaven) = and also with a culture that is not (the Kingdom of Man). If people don= 't show faith, then he knows they are of the opposing culture, he knows = how they are interpreting things and he knows what they are thinking. Ma= tthew 9:2 Behold, they brought to him a man who was paralyzed, lying on = a bed. Jesus, seeing their faith, said to the paralytic, "Son, cheer up!= Your sins are forgiven you." 9:3 Behold, some of the scribes said to th= emselves, "This man blasphemes." 9:4 Jesus, knowing their thoughts, said= , "Why do you think evil in your hearts?1655 = ; Men reward each other in this world Matthew 6:1 "Be careful that = you don't do your charitable giving before men, to be seen by them, or e= lse you have no reward from your Father who is in heaven. 6:2 Therefore = when you do merciful deeds, don't sound a trumpet before yourself, as th= e hypocrites do in the synagogues and in the streets, that they may get = glory from men. Most certainly I tell you, they have received their rewa= rd.1599 = ; Showing good will and allowing oth= ers to condemn you Jesus= , John the Baptist and Paul show good will to others by satisfying their= norms, at least to an extent, and yet allow others to condemn them even= so. Matthew 11:16 "But to what shall I compare this generation? It is = like children sitting in the marketplaces, who call to their companions = 11:17 and say, 'We played the flute for you, and you didn't dance. We mo= urned for you, and you didn't lament.' 11:18 For John came neither eatin= g nor drinking, and they say, 'He has a demon.' 11:19 The Son of Man cam= e eating and drinking, and they say, 'Behold, a gluttonous man and a dru= nkard, a friend of tax collectors and sinners!' But wisdom is justified = by her children." 1864 = ; The Son of Man is nowhere acceptable<= /span> Jesus is the Son of Man in t= hat Man teaches him by making an example out of him. Thus the Son of Ma= n is never acceptable. This is an injustice that Jesus bears for the sa= ke of healing. Matthew 8:19 A scribe came, and said to him, "Teacher, I= will follow you wherever you go." 8:20 Jesus said to him, "The foxes ha= ve holes, and the birds of the sky have nests, but the Son of Man has no= where to lay his head." 1615 = ; Unfairness towards the good son Luke 15:25 "Now his elder son= was in the field. As he came near to the house, he heard music and danc= ing. 15:26 He called one of the servants to him, and asked what was goin= g on. 15:27 He said to him, 'Your brother has come, and your father has = killed the fattened calf, because he has received him back safe and heal= thy.' 15:28 But he was angry, and would not go in. Therefore his father = came out, and begged him. 15:29 But he answered his father, 'Behold, the= se many years I have served you, and I never disobeyed a commandment of = yours, but you never gave me a goat, that I might celebrate with my frie= nds. 15:30 But when this, your son, came, who has devoured your living w= ith prostitutes, you killed the fattened calf for him.' 15:31 "He said = to him, 'Son, you are always with me, and all that is mine is yours. 15:= 32 But it was appropriate to celebrate and be glad, for this, your broth= er, was dead, and is alive again. He was lost, and is found.'"1373 = ; What a disciple should expect<= /span> Matthew 10:24 "A disciple is= not above his teacher, nor a servant above his lord. 10:25 It is enough= for the disciple that he be like his teacher, and the servant like his = lord. If they have called the master of the house Beelzebul, how much mo= re those of his household!1801 = ; What does it take for people to re= pent? People may repent = if they wrong the righteous. Matthew 23:33 You serpents, you offspring = of vipers, how will you escape the judgment of Gehenna? 23:34 Therefore = behold, I send to you prophets, wise men, and scribes. Some of them you = will kill and crucify; and some of them you will scourge in your synagog= ues, and persecute from city to city; 23:35 that on you may come all the= righteous blood shed on the earth, from the blood of righteous Abel to = the blood of Zachariah son of Barachiah, whom you killed between the san= ctuary and the altar. 1576 = ; What does mercy require?= Matthew 9:11 When the Pharisees sa= w it, they said to his disciples, "Why does your teacher eat with tax co= llectors and sinners?" 9:12 When Jesus heard it, he said to them, "Those= who are healthy have no need for a physician, but those who are sick do= . 9:13 But you go and learn what this means: 'I desire mercy, and not sa= crifice,' for I came not to call the righteous, but sinners to repentanc= e." 1719 = ; What is one's cross&nbs= p; Matthew 10:38 He who doesn't take his = cross and follow after me, isn't worthy of me. 1816 = ; What to expect of a disciple Matthew 10:24 "A disciple is = not above his teacher, nor a servant above his lord. 10:25 It is enough = for the disciple that he be like his teacher, and the servant like his l= ord. If they have called the master of the house Beelzebul, how much mor= e those of his household!1800 = ; What will Jesus give to those who = are burdened Matthew 11:= 28 "Come to me, all you who labor and are heavily burdened, and I will g= ive you rest. = 1917 = ; Whether to be afraid&nb= sp; Matthew 10:29 "Aren't two sparrows so= ld for an assarion coin? Not one of them falls on the ground apart from = your Father's will, 10:30 but the very hairs of your head are all number= ed. 10:31 Therefore don't be afraid. You are of more value than many spa= rrows.1809= = ; Who bears the brunt of hate Matthew 10:22 You will be hate= d by all men for my name's sake, but he who endures to the end will be s= aved. 1796= = ; Who should come to Jesus Matthew 11:28 "Come to me, all yo= u who labor and are heavily burdened, and I will give you rest. 1916 = ; Why did he come? &= nbsp; Matthew 20:24 When the ten heard it, they= were indignant with the two brothers. 20:25 But Jesus summoned them, an= d said, "You know that the rulers of the nations lord it over them, and = their great ones exercise authority over them. 20:26 It shall not be so = among you, but whoever desires to become great among you shall be your s= ervant. 20:27 Whoever desires to be first among you shall be your bondse= rvant, 20:28 even as the Son of Man came not to be served, but to serve,= and to give his life as a ransom for many."2017 What makes exceptions possible = The Sabbath is a day of exceptions, and the Son of Man is,= by his slack, his mercy, the one who makes exceptions possible. Sacrif= ice is just a sign of slack. Thus there is no guilt for those who the S= on of Man gives slack to. Matthew 12:7 But if you had known what this m= eans, 'I desire mercy, and not sacrifice,' you would not have condemned = the guiltless. 12:8 For the Son of Man is Lord of the Sabbath." 1925
		&nb= sp;Polynomials	<= /td>
		= Polynomials &nbs= p; We can expand terms as polynomials, as with "and" and "or", an= d thus create equations that construct and relate roots. (Or, And, metho= d of undetermined coefficients, expansion, construction)67 = ; Addi= tion means combine like units, list different units &n= bsp; We can practice this principle by considering "u= nits", but also numbers used as units ("tens", "thousands", "millions", = "sevenths", "percentages"), imaginary units ("zillions"), any numbers ("= twos", (-1)), unknown numbers ("X"), squares of unknown numbers ("X**2")= . We can mix units such as 2x + 3y -5x + 4y and likewise. Gospel Math.= 1847 = ; Desi= gning algorithms with index cards I have the student write on an index card, "I'm thinking of a numb= er". Then they create subsequent index cards, each with their own instru= ction: "Double the number", "Add 5 to the number", "Halve the number", "= Square the number" and so on. Then I have them input a number and get t= he output and write down all of the intermediate answers. They do this = for several numbers. Then we can consider an abstract input X. We can = discuss if the algorithm can be simplified, and can it be reversed. Basi= c Math.1955
		= Plan - Explicitly Commit
		Plan - Explicitly Commit= 175 = Graphic Gameplan = ; agree on executable action plan 335 = RACI Matrix &nbs= p; clarify responsibility, improve morale 375 = Scenario Slider &= nbsp; identify and prepare for key scenarios 378 = Who/What/When Matrix &= nbsp; make clear commitments 377 = WhoDo &nbs= p;brainstorm, plan and prioritize actions 376
		= Believing in believing in believing
	Believing in believ= ing in believing Empathizing with= their views. Appreciate people's commitments, their investigations,= endeavors and positions, and integrate them.38 Allowing us to let go of our positions = ; Conversing with: conviction565 = Create public space = Conversing with: principles By organizing Minci= u Sodas, an online laboratory, entirely public, I had the chance to watc= h people grow, mature, learn as they acted on their beliefs and reflecte= d on the consequences.736 = Disagreement of views &nbs= p; Conversing with: contradiction In organizing = the good will exercises, I learned early on that, for a given issue, we = wouldn't agree what truth came from the world. Often I felt that it was= clear that people couldn't see past their own principle, couldn't ackno= wledge the dead end that they were in. People kept focusing on whatever= got their buttons. They would disagree about an issue, such as gang vi= olence, but actually, when you heard them out, in their minds they were = approaching that issue from their own very personal angle, often only te= ntatively linked to the "hot button" words. So I developed a way to ask = about their feelings, to balance negative feelings with positive feeling= s, and derive their real issue issue from the subject matter of their fe= elings.655<= /span> = Empathy for disputants &nb= sp; Conversing with: conviction By having empath= y for people, I was aware how intensely they clung to their truths, ofte= n unknowingly, the truth of the world.654 = Internal dialogue with someone dear or= critical Conversing with: convic= tions I often have dialogues in my mind with people I know. I suppo= se they are sparked by my feelings and my conscience. In reflect about = events in my life, I will feel a wish to say to somebody the truth. But= am I being fair to them? What would they say? My mind provides their re= ply, what they might say. And then I think and reply. In this way, my m= ind rehearses conversations that may be several minutes long. I recall = doing this in grade school as I rode home on the bus, thinking to myself= . I have had many conversations with my parents, with good friends, wit= h girls and women I have been in love with, and even certain peripheral = individuals who are critical of me. I have a crush on a woman, but then= imagine, what if she had an abortion, would I still love her, and what = would I say? I have had many conversations in my mind with my parents a= bout the things I do that irk them, such as not getting a hair cut or my= difficulty in making a living or my adventures in life or my philosophi= cal ideas, or their aspirations for me, such as being Lithuanian or bein= g a good person, kind and of good will. I learned that people in my min= d were more real, vibrant, honest, direct, intense, distilled, than they= were in real life. True, in real life, when they said something unexpe= cted, I had to adjust my understanding of them, yet in mind, there could= also be something similar, when I managed to see them in a new light, a= nd indeed, I would converse with them in my mind until I could resolve a= ll of my feelings. I noticed that my conversations with God are quite s= imilar, and I could explain to others that, in that sense, God is very r= eal to me, just as the people in my mind are more real than they are in = real life. In 2011, in speaking about this with my father, I learned th= at he actually doesn't have any such conversations. I suppose I have th= em because I was never able to talk with my parents and others as much a= s I liked about what I cared about, and because when I did have a chance= , I didn't want the conversations to go on unhelpful or hurtful tracks.<= span class=3D"mazi">709 = Reconsider &nb= sp; Conversing with: stubbornness Sometimes I take up a posi= tion and defend a principle with great passion in my mind, especially wh= en I feel attacked. I may find many good reasons to stay firm. But the= n, when I feel that I've weathered the storm, a mild voice grows in me t= hat I might now relent, that I don't have to look at things so starkly, = that the issue isn't the only one or the most important, that time bring= s forth other issues. Ultimately, I always do relent, when I myself fee= l ready. This also helps me to avoid getting into arguments, to not be = afraid to see them through honestly and vigorously, but to be prompt and= resolute in letting go of them. 730 = ; Choo= -choo train One day, perhaps= for my birthday or for Christmas, my parents got me a black plastic cho= o-choo train that I could sit on and pretend to ride around the apartmen= t. I must have been three years old because we were still living at the= Page Street apartments in Buena Park. It was the first impressive toy = that I had and I treasured it because it was "mine", because it was give= n to "me", and it was an acknowledgment that I should "have" things. My= parents invited over Robbie's family. He was a little boy who used to = live at the apartments, with whom I had played sometimes, but didn't rea= lly know, as I basically played by myself. My mother and father asked t= hat I show him my choo-choo train and let him ride it. I said No. I fel= t it was mine and I wanted to keep it that way. They insisted. They sai= d I was bad. This disturbed me greatly. My parents said later that I re= fused to talk to them for three days. But I remember some of what I was= thinking: that it was deceitful of them to give me things and later to = say what I must do with them; it was the same as to take them from me; t= hat thus no notion of property could ever be secure; and thus there coul= d be no ground for civilization; and this made progress untenable; yet p= rogress was our highest ideal. I think finally they allowed that I had = not behaved badly. And then I relented that my parents were loving peop= le and that I should not make too much of this. But I told myself that = I would never get attached to things. 1850 = ; Writing letters in my mind&nbs= p; I remember writing many letters in my = mind, notably while I would ride my bike through the orchards of Califor= nia's Central Valley and towards the Sierra mountains, when I worked in = Visalia in 2001 as a software developer. Often, I never had a chance to= write these letters, so they kept evolving. 1851 Relating our positions C= onversing with: capability543 = Collect investigatory questions= Conversing with: person's vitality = What is a question that you don't know the answer to, but wish to answer= ? I have collected such investigatory questions from about 200 people. = They are deep, beautiful, profound, inspiring questions. They have eno= rmous variety. They are related to people's deepest values. They show = how a person is growing. They can be studied in terms of their structur= e.731 = Collecting endeavors = ; Conversing with: aims In 2007-2009, in leading= the Minciu Sodas laboratory, I collected endeavors from more than 100 p= articipants. This helped me know who actually wanted support and how we= might organized around them. What endeavors were key, strategically? I= noticed how narrower endeavors supported broader endeavors.604 = Identify strategic endeavors&nb= sp; Conversing with: productiveness I drew= a map of endeavors for the Minciu Sodas laboratory and our participants= to show how they can all be related. Then, as Direktorius, I chose str= ategic endeavors which I should invest my efforts in because they would = best leverage our efforts on behalf of all of our endeavors, including m= y quest to make Minciu Sodas viable so that I could make a living.733 = Relate e= ndeavors Conversing with: might In 2007, I asked participants of Minciu Sodas, my online laboratory, = what did they want to achieve? Then I organized the endeavors with a di= agram, a map, where broader endeavors led to narrower endeavors. The br= oadest endeavor I took to be God's endeavor, to reach the hard to reach.= 732<= /p>
		= Integrating some of us
		Integrating some of us&nb= sp; 1671 = ; Honoring a request = She expressed no bitterness about her illness or about my ina= bility to cure her. During her last hospitalization, she made one reques= t. She lay in the hospital bed, her chest heaving to get air. We held ha= nds. "Doctor Ansen?" Her eyes sparkled. "Ah want ta see yo chile. Please= , can ah see yo chile?" We hatched a plan. On the next Saturday morning,= I brought my son to County Hospital for her to see. She came to the six= th floor window of the Medical A building. I stood outside and held my i= nfant son up over my head like a gift offering to the gods. She smiled a= nd waved at us from the sixth floor window, oxygen tubes dangling from h= er nose. We waved back. I cried when she died a few days later. "Co= unty: Life, Death and Politics at Chicago's Public Hospital" by David An= sell M.D. Copyright 2011, David Ansell M.D. Published by Academy Chicago= Publishers. All Rights Reserved. Health. Chicago.19341942 = ; Let each other offend each other &n= bsp; Fresh Air interview of Steve Coogan, June 9, 2011: = So the two comedians decided to give each other the artistic license to = offend each other while filming. "What makes it interesting is that ther= e's an edge to it and a discomfort to it that makes it engaging," Coogan= says. "It's not just a couple of actors saying, 'Get a load of me. I'm = laughing at myself.' There are a couple of moments where I find Rob irri= tating =E2=80=94 genuinely =E2=80=94 and I respond naturally, but not th= e way that I would in reality."1875 = ; Revealing that you have been abused = ; Fresh Air interview of boxer Sugar Ray Leonard, Jun= e 6, 2011: I saw an episode of Oprah and [former child TV star] Todd = Bridges finally came forth and said that he was sexually abused. I hear = people always say that when you surrender and admit these things, it's a= sense of freedom too.1903 = ; What I miss Fre= sh Air interview of boxer Sugar Ray Leonard, June 6, 2011: "Of all th= e things I miss in boxing, I miss the preparation of a bout, I miss chor= eographing tactics and moves and things like that," he says. "I miss all= of my guys, my entourage being around me and working out with me, getti= ng in better shape.1893
		&n= bsp;Consider the analysis underlying numbers=
		Consider the analysis underlying numbers We must resist at all costs= being captivated by the numbers (like weights and utility values) we us= e in applying some of these techniques. We must constantly focus on and= fully understand the analysis underlying these numbers, for they inevit= ably tend to take on a life of their own and to drive, not reflect, our = analysis. The Thinker's Toolkit by Morgan D.Jones2145 = ; Assume probability is equal for all outcomes &= nbsp; According to Laplace, if we're trying to det= ermine which of two or more outcomes will occur, but we don't have relia= ble evidence to judge which is more likely, we should assume the probabi= lity is equal for all outcomes. The Thinker's Toolkit by Morgan D.Jones2147 = ; Calculate probability ... when we have all the data, as in a deterministic problem, calcu= late probability by arithmetic computation. The Thinker's Toolkit by Morgan D.Jones2149 = ; Conditionally dependent events &nb= sp; Conditionally dependent events are those in which the occu= rrence of one event depends upon the occurrence of another. Multiply= probabilities of the "and" type. The Thinker's Toolkit by Morgan D.Jones2152 = ; Mutually exclusive events Mutually exclusive events preclude one another. Add probabi= lities of the "either... or..." type. If they are completely exhaustive,= then they should add up to 100%. The Thinker's Toolkit by Morgan D.Jones2151 = ; Translate probability expressions into percentiles &= nbsp; Whether we are analyzing a problem alo= ne or collaborating with others, we should make it a rule to highlight a= ll probability expressions and translate them into percentiles. ... but = only in the analytic phase. Never use percentiles in final written produ= cts unless ... the numbers are based on definitive evidence and precise = calculations. The Thinker's Toolkit by Morgan D.Jones2148
		= Learn what is fair
		Learn what is fair = ; 1082 = ; Realizing the = basis for leadership Whe= n I started my business I wanted my colleagues in Lithuania to earn the = same as me. But then I realized that I am the one investing, sticking my= neck out, running the risk. And they themselves stated that first I nee= d to make money, and then they can.1062 = ; Recognizing ho= w people help or not In = general, different people helped or not in different ways, as they were = able and felt comfortable.1051 = ; Who is helping= or hurting whom I was r= unning a social enterprise, I support a community center, I didn't owe t= he government any money, but it was going to destroy me through this pap= erwork.1019
		&nb= sp; Value others
		Value others &n= bsp; 158 = Appreciating people = 479 = Appreciating people's leadership 482 = Appreciating people's skills&nb= sp; 481 = Realizing what others can do&nb= sp; 466 = Recognizing what others could do 460 = Recognizing who should be involved 462
		= Healing
		<= p>Healing = Jesus heals many people and they are made whole and do not stumble = because of him. Yet others are upset that he heals on the Sabbath and t= hus stumble because of him. Jesus keeps believers from stumbling. God gi= ves the reward, and the reward is Jesus. The good does not receive the r= eward, because they had the good from the beginning, for the reward is s= haring in all things, and so Jesus appreciates the logic, for Jesus had = appreciated the wealth of God from the beginning, and received it likewi= se, and so could have no reward, except through those who were given to = him by God.136= 4 = ; Am I causing others to stumble? Jesus doesn't want others to s= tumble because of him, yet it may happen, and yet he suggests that there= are those who he doesn't cause to stumble, and thus more fundamentally,= people need not stumble. Luke 7:19 John, calling to himself two of his= disciples, sent them to Jesus, saying, "Are you the one who is coming, = or should we look for another?" ... Go and tell John the things which y= ou have seen and heard: that the blind receive their sight, the lame wal= k, the lepers are cleansed, the deaf hear, the dead are raised up, and t= he poor have good news preached to them. 7:23 Blessed is he who finds no= occasion for stumbling in me.1363 = ; Anticipating = ; Matthew 17:24 When they had come to Capernaum= , those who collected the didrachma coins came to Peter, and said, "Does= n't your teacher pay the didrachma?" 17:25 He said, "Yes." When he came = into the house, Jesus anticipated him, saying, "What do you think, Simon= ? From whom do the kings of the earth receive toll or tribute? From thei= r children, or from strangers?"2001 = ; Distinguish between people and thei= r demons Matthew 8:28 Wh= en he came to the other side, into the country of the Gergesenes, two pe= ople possessed by demons met him there, coming out of the tombs, exceedi= ngly fierce, so that nobody could pass that way. 8:29 Behold, they cried= out, saying, "What do we have to do with you, Jesus, Son of God? Have y= ou come here to torment us before the time?" 8:30 Now there was a herd o= f many pigs feeding far away from them. 8:31 The demons begged him, sayi= ng, "If you cast us out, permit us to go away into the herd of pigs." 8:= 32 He said to them, "Go!" They came out, and went into the herd of pigs:= and behold, the whole herd of pigs rushed down the cliff into the sea, = and died in the water.1622 = ; Encourage others to pray for interc= ession Matthew 9:37 Then= he said to his disciples, "The harvest indeed is plentiful, but the lab= orers are few. 9:38 Pray therefore that the Lord of the harvest will sen= d out laborers into his harvest." 1735 = ; Give as was given to you= By giving freely as was freely giv= en to us, we extend the giving of the giver, support it, confirm it and = include ourselves in it. Matthew 10:8 Heal the sick, cleanse the lepers,= and cast out demons. Freely you received, so freely give. 1780 = ; How Jesus treats us&nbs= p; Jesus treats us as equals, as we treat= him. Matthew 10:32 Everyone therefore who confesses me before men, him= I will also confess before my Father who is in heaven. 10:33 But whoeve= r denies me before men, him I will also deny before my Father who is in = heaven. 1810 = ; How will one be saved&n= bsp; Fleeing is key to being saved, and t= he variety of places to go, and the fact that there are more places than= needed to "teach by making an example of". Matthew 10:22 You will be h= ated by all men for my name's sake, but he who endures to the end will b= e saved. 10:23 But when they persecute you in this city, flee into the n= ext, for most certainly I tell you, you will not have gone through the c= ities of Israel, until the Son of Man has come. 1798 = ; Pray to God for vocation= Matthew 9:37 Then he said to his d= isciples, "The harvest indeed is plentiful, but the laborers are few. 9:= 38 Pray therefore that the Lord of the harvest will send out laborers in= to his harvest." 1736 = ; The down-to-earth nature of the good Luke 7:19 John, calling t= o himself two of his disciples, sent them to Jesus, saying, "Are you the= one who is coming, or should we look for another?" ... Go and tell Joh= n the things which you have seen and heard: that the blind receive their= sight, the lame walk, the lepers are cleansed, the deaf hear, the dead = are raised up, and the poor have good news preached to them. 7:23 Blesse= d is he who finds no occasion for stumbling in me.<= a href=3D"http://t.co/ju1KSid#1362">1362 = ; What are the consequences of believ= ing? Matthew 7:24 "Every= one therefore who hears these words of mine, and does them, I will liken= him to a wise man, who built his house on a rock. 7:25 The rain came do= wn, the floods came, and the winds blew, and beat on that house; and it = didn't fall, for it was founded on the rock.1496 = ; What confirms the Kingdom of Heaven= ? Matthew 10:8 Heal the = sick, cleanse the lepers, and cast out demons. Freely you received, so f= reely give. 17= 79 = ; What does God control&n= bsp; Matthew 10:29 "Aren't two sparrows s= old for an assarion coin? Not one of them falls on the ground apart from= your Father's will, 10:30 but the very hairs of your head are all numbe= red. 10:31 Therefore don't be afraid. You are of more value than many sp= arrows.1808 = ; What happens to one who seeks or l= oses one's life Matthew = 10:39 He who seeks his life will lose it; and he who loses his life for = my sake will find it. 1818 = ; What is more relevant?&nb= sp; Spiritual health is more relevant tha= n physical health. Jesus naturally is alert to a person's spiritual wel= l being and focuses on that rather on their physical well-being. Thus h= e takes liberty to interpret the person's sadness or happiness as regard= ing his sins, not his illness. Matthew 9:2 Behold, they brought to him= a man who was paralyzed, lying on a bed. Jesus, seeing their faith, sai= d to the paralytic, "Son, cheer up! Your sins are forgiven you." 1653 = ; What is pleasing to God= The Kingdom of Heaven is hidden fr= om the wise and understanding as part of the union of all through God's = impartiality. It is not for those who understand (as God the Father) but= who are coming to understand (as the Son of Man who is ultimately, upon= understanding, the Son of God). Matthew 11:25 At that time, Jesus answe= red, "I thank you, Father, Lord of heaven and earth, that you hid these = things from the wise and understanding, and revealed them to infants. 11= :26 Yes, Father, for so it was well-pleasing in your sight. = 1912 = ; What is the reward for leaving eve= rything to follow Jesus = Matthew 19:27 Then Peter answered, "Behold, we have left everything, and= followed you. What then will we have?" 19:28 Jesus said to them, "Most = certainly I tell you that you who have followed me, in the regeneration = when the Son of Man will sit on the throne of his glory, you also will s= it on twelve thrones, judging the twelve tribes of Israel. 19:29 Everyon= e who has left houses, or brothers, or sisters, or father, or mother, or= wife, or children, or lands, for my name's sake, will receive one hundr= ed times, and will inherit eternal life. 19:30 But many will be last who= are first; and first who are last.2009 = ; Who is blessed &nbs= p; Jesus thinks about who is blessed. He feels= that those who aren't disappointed in him will be blessed. Matthew 11:6= Blessed is he who finds no occasion for stumbling in me.1828 = ; Who needs a physician?&n= bsp; Matthew 9:11 When the Pharisees saw = it, they said to his disciples, "Why does your teacher eat with tax coll= ectors and sinners?" 9:12 When Jesus heard it, he said to them, "Those w= ho are healthy have no need for a physician, but those who are sick do. = 9:13 But you go and learn what this means: 'I desire mercy, and not sacr= ifice,' for I came not to call the righteous, but sinners to repentance.= " 1720 = ; Who will be saved = Matthew 10:22 You will be hated by all m= en for my name's sake, but he who endures to the end will be saved.1797 =
		&nb= sp;Vector space	=

		= Include - Care
		Include - Care &n= bsp; 176 = Air Time Mastermind &n= bsp; attract solutions to pressing problems 336 = Brainwriting &nb= sp; include everybody in evolving an idea 340 = Button &nb= sp;pay attention to everyone 339 = Open Space = ; network around active participants and their purposes 338 = Quaker Conversation &nb= sp; invite everybody and let conversation flow 337 = Talking Chips &n= bsp; include every voice equally 341
		= Believing in believing in believing in believ= ing
		Believ= ing in believing in believing in believing = ; Fostering the spirit amongst us. Create space to include e= verybody as they are, both actively immersed and passively reflected, al= ternatively, so God's spirit may speak through them.39 Creating an environment to generate an idea = 563 = Create conditions &n= bsp; Conversing with: inspiration In 1995, encouraged = by Joe Damal, I wanted to start applying my philosophy practically. I d= ecided to consider situations where I wanted to follow the truth of the = heart, as opposed to the world. But where to start? I gave myself a yea= r to develop good will exercises. Every two weeks I invited friends and= all who might be interested to help me think this through. In between,= I would write up and mail out and email out a newsletter reflecting on = the last meeting and preparing for the next meeting. I conducted the me= etings so that they always yielded some new idea, some step forward.651 = ; Dedicating my best hour &= nbsp; Starting around 1994, when I started to w= ork from home as a software developer, I made sure to start my day by wo= rking on my philosophy for an hour or two. Even later, as I struggled a= nd failed to make a living from my lab, Minciu Sodas, I always dedicated= my best hour or two to my philosophy. My best hour is in the morning, = when my mind is fresh and uncluttered with concerns. I pray to God, do = some calisthenics, eat breakfast, check my emails to keep them off my mi= nd, and then apply my mind to my philosophy, preferably to the deepest q= uestion that I can. My goal is to get a new idea every day. Then I fee= l that my day has gone well and it doesn't matter what else happens. I = typically continue by reviewing, writing and sharing my strategy for app= lying myself and making a living. As the day wears on, I make some effo= rt to make a living. But I don't let that have my best energies. I bel= ieve that we all have a right and duty to spend one or two hours each da= y of our best time to apply ourselves and do what we were created and in= spired to do.1= 904 = Invite all people &n= bsp; Conversing with: God's will In my activities, I'v= e tried to be and stay open to everybody and not be exclusive. I have t= ried not to worry about people's intelligence, competence, reliability, = wealth or niceness. This has helped me to be more flexible with regard = to what might happened, how things might develop, and be more appreciati= ve as to what other people might contribute. It has also gotten me to d= evelop relevant filters, such as expecting certain behavior. I've focus= ed on "independent thinkers", expected people to be accountable to their= own deepest value in life, or to engage me based on their own question = that they wish to answer.699 = Step in, step out = ; Conversing with: spirit In 1996, in deve= loping the good will exercises, I wanted to make sure that each meeting = yielded some insight that helped me develop them further. It was not ea= sy because people didn't quite believe that something could come from su= ch ideas and they kept drifting off in tangents. Yet those tangents wer= e like gradients that showed what directions our minds could move in. I= was able to note those gradients as others talked. But as they talked,= they drifted away from the main point I cared about. So I had to talk = to keep bringing them back to the main point. And as I talked I would i= mmerse myself, pay attention to what I was feeling and thinking, and mys= elf perhaps go to far afield. I started explaining this dynamic as "ste= p in, step out". We should try to develop a rhythm where as one person = "steps in" and brings forth from their personal experience, others shoul= d step back and watch the dynamics of the conversation. This yields a f= lutter, the Holy Spirit, as happens at the Chinese bible study that I'd = go to sometimes with my friend Shu-Hong. I think it allows us to feel h= ow different mental paths are possible from a particular point, and thus= makes it real in its freedom. One question that came up thereby was ra= ised by Bob, which was, how does he know that I won't brainwash him? Th= is led me to think, how do I keep from being brainwashed, and so I recal= led science fiction questions that I pondered in junior high school such= as, "How do I know that I'm not a robot?" and the answers that I develo= ped, counterquestions such as "Would it make any difference?" So I deve= loped a whole theory and structure of counterquestions.656 Drawing insight from others <= /i> 581 = Accept everyone the same, as if God Conversing with: simplicity In = accepting a person as myself, if they are God, I give them my full atten= tion, and realize how surprisingly intelligent they are, or troubled or = proud or dignified or harmonious. It makes whole the many things to lea= rn.694 = Listen to faithless sermons&nbs= p; Conversing with: spiritual patience Man= y priests speak without inner faith and so I note how they miss Jesus's = meaning. The good son, the brother of the prodigal son, reminds me of J= esus, what he must have felt..762 = Observe teachers teach &nb= sp; Conversing with: successful communication As= a child, I often already knew what the teacher was teaching, or felt it= was taught slowly, so I watched them teach, and considered how I would = teach differently, what is the deep meaning?738 = Tune myself to my sweetheart&nb= sp; Conversing with: mood My sweetheart is= a great influence on me. I have every desire to be one with her. So I= open myself to her values that I perceive. She loves to worship God an= d she is a patriot of Lithuania. I can be skeptical of all of that, but= not when I think of her, and I am glad that it is what I truly wish to = be a part of, too. She is beautiful and she makes me feel chaste, too, = for I devote myself to her.711
		= Fostering an environment for integration
		Fostering an e= nvironment for integration <= span class=3D"mazi">1672= = ; I-Thou dialogue &nb= sp; Bob Lichtenbert writes up a dialogue where one pe= rson is the Seeker and the other is the Tipper (typical person). Then v= olunteers read that dialogue out loud. Then they pause discuss. This y= ields a more interdisciplinary approach to questions because the audienc= e is from different fields and aren't philosophers.= 1443
		&n= bsp;The Analytic Power of a Group
		The Analytic Power of a Group &= nbsp; Finally, experiments in group process have shown t= hat, in most circumstances, the analytic power of a group of analysts is= greater than that of any of its single members. For that reason, the gr= oup's consensus judgments are likely to be more accurate than the judgme= nts of any individual member. Yet when a group of people sits around a t= able and analyzes a problem, rare is the group member who believes that = the other members collectively know more about the problem, understand i= t better, can come up with a better solution than that member can, parti= cularly when that member's opinion is at odds with the group's. Structur= ing group analysis of problems facilitates the exchange of ideas and the= examination of alternatives that are necessary for building a consensus= . ... A host of things - such as individual mind-sets, conflicts over wh= o is in authority, domination by a clique, lack of group focus - can dec= imate the effectiveness of a group ... These interactions within the gro= up tend to divide and confuse its members and to defeat their common pur= pose. ... By organizing in a sensible, informative way the problem being= analyzed, structuring greatly facilitates a group's work. Because group= analysis tends to jump erratically from one topic to another as members= press for acceptance of competing ideas, a principal beneficial effect = of structuring is to help the group perceive the problem's full dimensio= ns, to focus its attention on individual aspects of the problem, and to = keep track of where the group is in the analytic process. The Thinker's Toolkit by Morgan D.Jones2111
		= Invest in giving
	<= /td>	Invest in giving &nb= sp; Invest in a culture of giving1083 = Give things tim= e In the town in China w= here I was staying I wanted to buy a bicycle. However, the family was ve= ry anxious for my safety and refused to let me. It was as if I was a sma= ll child. But as my Chinese improved I was able to ask in ways that gave= them confidence in me. So they arranged that I could buy a bicycle. 976<= /p> = ; Recognizing wh= o is there for me I went= to school in Chicago in part to be closer to my relatives, all of whom = lived in the area. Some of them would say how family was much more impor= tant than friends because in the end you always counted on family. But t= hat never bore out. Partly, my mother didn't want me to ever have or dis= cuss any money issues with anybody in our extended family. And simply in= practice, whenever I discussed my business needs or for loans or leads = or mentors, there was no help. Whereas I have good friends who backed me= up with significant long term or short term loans. In general, differen= t people helped or not in different ways, as they were able and felt com= fortable.1050<= /a>
		&nb= sp; Others' limits
	=	Others' limits &nbs= p; 164 = Accepting a person the way they are 520 = Keeping a person in mind &= nbsp; 521
		&nb= sp; Good heart: Saving those who stumble
		Good heart: = Saving those who stumble The= theology of grace, of saving the sinner. Here Jesus is the Son of God.= This is the wide gate that leads to destruction. Jesus apparently has= in mind a progression: great (master), greater (teacher), greatest (lor= d) which corresponds to the math ideas of extreme point, greatest lower = bound and limit, and also brings to mind the ways to address Maslow's hi= erarchy of needs: self-esteem, opportunity, self-fulfillment. Darkness = as opposed to light.1346
		= Time
		<= p>Time C1)= Sequence C2) Poset with maximal or minimal elements C3) Least upper bou= nds, greatest lower bounds C4) Limits The act of ever getting a new = sheet (blank or otherwise) makes for a countably infinite list. That is = what we need for mathematical induction. Next, we may prefer some sheets= as more noteworthy than others, which we ignore, so that some are most = valuable. Such extremes are assumed by the extreme principle. An example= is the square as the rectangle of a given perimeter that yields the mos= t area. Next, we construct monovariants which say, in effect, that the o= nly results which count are those that beat the record-to-beat, which yi= elds sequences of increasing minimums, thus a greatest lower bound, or a= lternatively, a least upper bound. Finally, we allow such a boxing-in or= boxing-out process to continue indefinitely, yielding (or not) a limit = that may very well transcend the existing system (as the reals transcend= the rationals). We thereby construct internal "time" which is fully fle= dged in that the continuum without gaps may be used to model space. 11
		&nb= sp; Caring 1-2-3-4
		Caring 1-2-3-4 &n= bsp; In real life, we can open our mind to all though= ts, we can collect and sort them by way of values, we can push ourselves= to our personal limitations, and we can allow for an ideal person (such= as Jesus) who transcends our limitations. These four frames are: caring= ; caring about caring; caring about caring about caring; caring about ca= ring about caring about caring.28
		&nb= sp; Our outer world
		Our outer world &= nbsp; 1668
		= ; Divergence
		Divergence Divergenc= e... means to branch out, to go in different directions, from a single p= oint. Whenever we take a broader view of a problem, whether by examining= evidence more thoroughly, gathering new evidence, or entertaining alter= native solutions, we are in a divergent mode. The Thinker's Toolkit by Morgan D.Jones2109
		&nb= sp; Taking

		&n= bsp; Wave point of view
		Wave point of view &= nbsp; Our measurement can take place outs= ide of our frames of measurement and thus link several such frames. Thi= s is a dynamic point of view where there is no distinction between the f= uture and the past so that all is reversible. We can think of the wave = in terms of where it starts and where it ends. It includes all paths be= tween these two points. This is a deterministic, nonspatial point of vi= ew, which establishes time, an ideal continuum that is beyond the frames= but thus relevant for us. Analogously, in math we may have a sequence = of sheets, as with mathematical induction, some of which may be of ultim= ate importance, as with the extreme principle, thus allowing for boxing = in with greatest lower bounds and least upper bounds, leading to limits = that may transcend, go beyond what we can account for. Or in life, we c= an be open to care about everything, then care about our minds by which = we care, then come up against our personal limits, then allow for an ide= al (such as Jesus) that transcends our limits. 848<= /p>
		= What you find is what you love
		What you find is what yo= u love "What you find is wha= t you love" is the content of several of Jesus's parables, such as the c= oin that the widow lost but found, or the lost sheep that the shepherd w= ent after, leaving ninety-nine behind. It is, I think, the most importa= nt message of his parables, even more important than "what you believe i= s what happens", for it gives God's point of view, as such.1251 = ; Favor the lost sheep of the House o= f Israel Matthew 10:5 Je= sus sent these twelve out, and commanded them, saying, "Don't go among t= he Gentiles, and don't enter into any city of the Samaritans. 10:6 Rathe= r, go to the lost sheep of the house of Israel. 1761 = ; Jesus has compassion for those who su= ffer Matthew 8:5 When he cam= e into Capernaum, a centurion came to him, asking him, 8:6 and saying, "= Lord, my servant lies in the house paralyzed, grievously tormented." 8:7= Jesus said to him, "I will come and heal him." 1603 = ; Jesu= s healed Peter's mother-in-law Matthew 8:14 When Jesus came into Peter's house, he saw his wife's mo= ther lying sick with a fever. 8:15 He touched her hand, and the fever le= ft her. She got up and served him. 1610 = ; People love as much as they are forgiv= en Luke 7:41 ... A certa= in lender had two debtors. The one owed five hundred denarii, and the ot= her fifty. 7:42 When they couldn't pay, he forgave them both. Which of t= hem therefore will love him most?" 7:43 Simon answered, "He, I suppose, = to whom he forgave the most." He said to him, "You have judged correctly= ." 7:44 Turning to the woman, he said to Simon, "Do you see this woman? = I entered into your house, and you gave me no water for my feet, but she= has wet my feet with her tears, and wiped them with the hair of her hea= d. 7:45 You gave me no kiss, but she, since the time I came in, has not = ceased to kiss my feet. 7:46 You didn't anoint my head with oil, but she= has anointed my feet with ointment. 7:47 Therefore I tell you, her sins= , which are many, are forgiven, for she loved much. But to whom little i= s forgiven, the same loves little.1367 = ; Somebody suggests to Jesus what Jesus= might want Matthew 8:2 Beho= ld, a leper came to him and worshiped him, saying, "Lord, if you want to= , you can make me clean." 8:3 Jesus stretched out his hand, and touched = him, saying, "I want to. Be made clean." Immediately his leprosy was cle= ansed. 8:4 Jesus said to him, "See that you tell nobody, but go, show yo= urself to the priest, and offer the gift that Moses commanded, as a test= imony to them." = 1601 = ; What is the way to destruction?= The gate of "belief" leads = to life; the gate of "caring" leads to destruction. We can distinguish t= he gates by seeing who goes through them. Matthew 7:13 "Enter in by the= narrow gate; for wide is the gate and broad is the way that leads to de= struction, and many are those who enter in by it. 7:14 How narrow is the= gate, and restricted is the way that leads to life! Few are those who f= ind it. 1487 = What you find is what you love.= 823
		&nb= sp;Sequence
		= Sequence <= /i> The act of ever getting a new sheet (blank or otherwise) makes for a= countably infinite list. That is what we need for mathematical inductio= n.17<= /p> = ; Axiom of Infinity Wikip= edia: Let S(x) abbreviate x U {x}, where x is some set. Then there ex= ists a set X such that the empty set {} is a member of X and, whenever a= set y is a member of X, then S(y) is also a member of X. More colloqui= ally, there exists a set X having infinitely many members. The minimal s= et X satisfying the axiom of infinity is the von Neumann ordinal =C3=8F=E2= =80=B0, which can also be thought of as the natural numbers N.1161 = Mathematical induction &nb= sp; 808 = Natural numbers = Edward Cherlin: The defining characteristic of the standard n= atural numbers is induction. 0 is a natural number Every natural number has a unique successor that is a natural number= . Every natural number except 0 has a unique predecessor among the natural numbers. If K is a set such that 0 is in K, and for every natural number n, i= f n is in K, then S(n) is in K, then K contains every natural number. 809 = ; Standard induction = This is a very powerful method for proving = assertions that are "indexed" by integers... Each assertion can be put i= n the form, P(n) is true for all integers n >=3D n0, where P(n) is a sta= tement involving the integer n, and n0 is the "starting point". In stan= dard induction: 1. Establish the truth of P(n0). This is called the "bas= e case" and is usually an easy exercise. 2. Assume that P(n) is true fo= r some arbitrary integer n. This is called the inductive hypothesis. Th= en show that the inductive hypothesis implies that P(n+1) is also true. = This is sufficient to prove P(n) for all integers n>=3Dn0, since P(n0) = is true by (1) ... pg.46, The Art and Craft of Problem Solving, Pau= l Zeitz, 1999, John Wiley & Sons, Inc.1440 = ; Prov= e n! > 2n where integer n >=3D 3 <= i> Weitz, pg.511498 = ; Prov= e that the sum of the interior angles of any n-gon is 180(n-2) degrees Weitz, pg.501499 = Transfinite induction Edward Cherlin: Proofs by tr= ansfinite induction are entirely analogous to proofs by finite induction= . 810<= /p> = Transfinite ordinals &= nbsp; Edward Cherlin: A similar construction [to the natural numbers] and a similar inductive condition define the= transfinite ordinals, but with some differences. If S is a set of ordin= als with no largest member, then the union of its members is a larger or= dinal. This allows us to define the first transfinite ordinal as the ord= er type of the set of natural numbers. This ordinal is called omega. The= n we get omega + 1, and so on. Taking all countable ordinals together gi= ves us the first uncountable ordinal, and so on again.811
		= Relax - Innovate
		Relax - Innovate &nb= sp; 177 = ; 6-8-5 &nb= sp;generate many rough ideas quickly 1693 = Break &nbs= p;challenge assumptions that constrain imagination 342 = Image-ination &n= bsp; get unstuck with new ideas 346 = Mission Impossible &nb= sp; let ideas settle, open room for new thoughts 344 = Object Brainstorm &nbs= p; suggest associations 343 = The Anti-Problem = ; get unstuck, note the obvious <= a href=3D"http://t.co/ju1KSid#345">345
		= Caring
		Caring Be= ing open to all outside us. Be open to any and all thoughts and asso= ciations. Note what captures my attention. Am I doing anything about thi= s?40<= /p> Being open to everything Conv= ersing with: infinity 531 = ; Observing what is going on around me<= /span> As a nearsighted child, I no= ticed "floaters" that moved across my eye, chains of blocks. I learned = about cells in my biology, and then, one day, sitting in a dentist's cha= ir, I thought, the floaters must be chains of cells which I can see beca= use they are close up, right on my eyeball. My mother said no. But lat= er an optometrist confirmed that, yes, indeed they were! I thought it w= as wonderful that I could see human cells with my own naked eyes!1235 = Take in all thoughts Conversing with: unlimited Once i= n a while, I marvel at the amazing variety of input that engages me and = enters my mind. I could easily believe that there is an objective world = around me, which I can't help but accept, so as to get by. It is a world= that can easily overturn any model which I might suggest for it. Thus, = I don't look to it for assurance, but rather I stay open to it. I feel o= bliged to take seriously whatever I note, whatever I am told, so that my= character might be completely informed and thus ever perfected. John Mu= ir has celebrated in detail, with awe and joy, the wonders of the Sierra= mountains.591<= /a> Noting what we find no analogue for &= nbsp; 1= 532 = ; What can't we have learned&nbs= p; We can't have learned the concept of <= i>everything because everything we know in the real world is bounded= , whereas everything is unbounded.1227
		= Being completely open to the outer world
		Being complete= ly open to the outer world <= span class=3D"mazi">1673= = ; Unexpected recording of unconscious &nb= sp; Keith Richards of the Rolling Stones came up with the r= iff for the song "Satisfaction" in his sleep, recorded it unexpectedly, = and woke up to find it on the tape. Fresh Air: In an interview on Fre= sh Air, Richards recounts how he woke up just long enough to record the = famous opening riff of "Satisfaction" on a cassette player he'd placed n= ext to his bed. "I go to bed as usual with my guitar, and I wake up the = next morning, and I see that the tape is run to the very end," Richards = tells Terry Gross. "And I think, 'Well, I didn't do anything. Maybe I hi= t a button when I was asleep.' So I put it back to the beginning and pus= hed play and there, in some sort of ghostly version, is [the opening lin= es to 'Satisfaction']. It was a whole verse of it. And after that, there= 's 40 minutes of me snoring. But there's the song in its embryo, and I a= ctually dreamt the damned thing."1714
		&n= bsp;Expose ourselves to new information
		Expose ourselves to new information = The mother of all biases is the "mind= -set" ... the distillation of our accumulated knowledge about a subject = into a single, coherent framework or lens through which we view it. ... = the summation or consolidation of all of our biases about a particular s= ubject. ... feelings come upon us in a flash; we don't think about them= before we sense them. Such is the power of mind-set. ... When we read = a novel ... the author furnishes us bits of information ... At some poin= t, our absorption and interpretation of these small details solidifies i= nto a particular mind-set. ... mind-sets enable us to put events and inf= ormation immediately into context without having to reconstruct from mem= ory everthing that previously happened ... provide us instant insight in= to complex problems ... Being an aggregate of countless biases and belie= fs, a mind-set represents a giant shortcut of the mind ... The influence= a mind-set has on our thinking is thus magnified by many orders of magn= itude over that of a simple bias ... There is only one way to change und= esirable biases and mind-sets, and that is by exposing ourselves (our mi= nds) to new information and letting the mind do the rest. Fortunately, t= he mind is, to a large degree, a self-changing system: give it new infor= mation, and it will change the bias. ... Most biases and mind-sets, howe= ver, are highly resistant to alteration and are changed only gradually, = eroded away by repeated exposure to new information. = The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2130
		= Accept what I am given
		Accept what I am given&nb= sp; 1084 = Be given resour= ces When we first got al= lowance, it was five cents a week. Then we realized that we couldn't buy= anything for that! So we let our parents know and it went up to ten cen= ts per week. 969<= /p> = ; Jesus was supported by women's possessi= ons Luke 8:1 It happened= soon afterwards, that he went about through cities and villages, preach= ing and bringing the good news of the Kingdom of God. With him were the = twelve, 8:2 and certain women who had been healed of evil spirits and in= firmities: Mary who was called Magdalene, from whom seven demons had gon= e out; 8:3 and Joanna, the wife of Chuzas, Herod's steward; Susanna; and= many others; who served them from their possessions.1368 = Start where you a= re Andrius: "I'm always = wondering how I could make a living from documenting and sharing "ways o= f figuring things out". Perhaps I should do that for business and econo= mics." Bradford Hansen-Smith, 2011.04.25: What works in my experience= is to start where you are. This lessens the load of trying to figure th= ings out before hand.901
		&nb= sp; My awareness
		My awareness &n= bsp; 145 = Drifting attention &= nbsp; 401 = Keep us attentive &n= bsp; 438 = Noting whether I pay attention&= nbsp; 505
		&= nbsp;Wait for the master, share in the treasure.
		Wait for the= master, share in the treasure. <= /i> Jesus appeals to people: Choose what to invest in.825 = ; Distinguish direct and indirect imp= ortance Matthew 6:25 The= refore I tell you, don't be anxious for your life: what you will eat, or= what you will drink; nor yet for your body, what you will wear. Isn't l= ife more than food, and the body more than clothing? 6:26 See the birds = of the sky, that they don't sow, neither do they reap, nor gather into b= arns. Your heavenly Father feeds them. Aren't you of much more value tha= n they? 1450 = ; Figure things out soundly The "eye" is how the body figures= things out. We should choose to figure things out soundly. Matthew 6:= 22 "The lamp of the body is the eye. If therefore your eye is sound, you= r whole body will be full of light. 6:23 But if your eye is evil, your w= hole body will be full of darkness. If therefore the light that is in yo= u is darkness, how great is the darkness! = 1447 = ; Incompatibility &nb= sp; Matthew 6:24 "No one can serve two masters,= for either he will hate the one and love the other; or else he will be = devoted to one and despise the other. You can't serve both God and Mammo= n. 1448 = ; Invest in what is eternal, not tempor= ary Matthew 6:19 "Don't lay = up treasures for yourselves on the earth, where moth and rust consume, a= nd where thieves break through and steal; 6:20 but lay up for yourselves= treasures in heaven, where neither moth nor rust consume, and where thi= eves don't break through and steal; 6:21 for where your treasure is, the= re your heart will be also. 1436 = ; Jesus took our infirmities&nbs= p; Jesus dealt with the human condition, = including illness, whether or not his own. Matthew 8:16 When evening cam= e, they brought to him many possessed with demons. He cast out the spiri= ts with a word, and healed all who were sick; 8:17 that it might be fulf= illed which was spoken through Isaiah the prophet, saying: "He took our = infirmities, and bore our diseases."1612 = ; Jesus wishes to see faith = ; Matthew 8:8 The centurion answered, "Lo= rd, I'm not worthy for you to come under my roof. Just say the word, and= my servant will be healed. 8:9 For I am also a man under authority, hav= ing under myself soldiers. I tell this one, 'Go,' and he goes; and tell = another, 'Come,' and he comes; and tell my servant, 'Do this,' and he do= es it." 8:10 When Jesus heard it, he marveled, and said to those who fol= lowed, "Most certainly I tell you, I haven't found so great a faith, not= even in Israel.1604 = ; Relative comparison &= nbsp; Mark 12:43 ... "Most certainly I tell you= , this poor widow gave more than all those who are giving into the treas= ury, 12:44 for they all gave out of their abundance, but she, out of her= poverty, gave all that she had to live on."1410 = ; The relationship between what we let = go and receive What we a= re able to let go of is more than matched by what we are able to receive= . Luke 18:28 Peter said, "Look, we have left everything, and followed y= ou." 18:29 He said to them, "Most certainly I tell you, there is no one = who has left house, or wife, or brothers, or parents, or children, for t= he Kingdom of God's sake, 18:30 who will not receive many times more in = this time, and in the world to come, eternal life."= 2074 = ; Thinking while working &nb= sp; I think of two people working togethe= r, but one is thinking and the other is not. The one who thinks a few n= ew thoughts each day will have thousands of thoughts in their mind, and = the other will not. One is "taken away" and the other is not. Luke 17:= 35 There will be two grinding grain together. One will be taken, and the= other will be left.1331 = ; We speak out of the abundance of our h= earts Luke 6:45 The good= man out of the good treasure of his heart brings out that which is good= , and the evil man out of the evil treasure of his heart brings out that= which is evil, for out of the abundance of the heart, his mouth speaks.= 1360 = ; What creates difficulty= Matthew 19:20 The young man said t= o him, "All these things I have observed from my youth. What do I still = lack?" 19:21 Jesus said to him, "If you want to be perfect, go, sell wha= t you have, and give to the poor, and you will have treasure in heaven; = and come, follow me." 19:22 But when the young man heard the saying, he = went away sad, for he was one who had great possessions. 19:23 Jesus sai= d to his disciples, "Most certainly I say to you, a rich man will enter = into the Kingdom of Heaven with difficulty. 19:24 Again I tell you, it i= s easier for a camel to go through a needle's eye, than for a rich man t= o enter into the Kingdom of God."2007 = ; What do they seek? = ; They devour widows' houses. Matthew 23:= 13 "Woe to you, scribes and Pharisees, hypocrites! For you devour widows= ' houses, and as a pretense you make long prayers. Therefore you will re= ceive greater condemnation. 1559 = ; What is preferred = Matthew 13:44 "Again, the Kingdom of Hea= ven is like a treasure hidden in the field, which a man found, and hid. = In his joy, he goes and sells all that he has, and buys that field.1986 = = ; What is the right scope for anxiety= ? Matthew 6:34 Therefore= don't be anxious for tomorrow, for tomorrow will be anxious for itself.= Each day's own evil is sufficient.1465 = ; What keeps us from thinking correctl= y? Matthew 7:3 Why do yo= u see the speck that is in your brother's eye, but don't consider the be= am that is in your own eye? 7:4 Or how will you tell your brother, 'Let = me remove the speck from your eye;' and behold, the beam is in your own = eye? 7:5 You hypocrite! First remove the beam out of your own eye, and t= hen you can see clearly to remove the speck out of your brother's eye. <= span class=3D"mazi">1473= = ; What must one give up = ; Luke 18:24 Jesus, seeing that he became= very sad, said, "How hard it is for those who have riches to enter into= the Kingdom of God! 18:25 For it is easier for a camel to enter in thro= ugh a needle's eye, than for a rich man to enter into the Kingdom of God= ."2071 = ; What one is willing to give up for= it Matthew 13:45 "Again= , the Kingdom of Heaven is like a man who is a merchant seeking fine pea= rls, 13:46 who having found one pearl of great price, he went and sold a= ll that he had, and bought it.1987 = ; What shall be in your heart&= nbsp; Deuteronomy 6:4 Hear, Israel: Yahwe= h is our God; Yahweh is one: 6:5 and you shall love Yahweh your God with= all your heart, and with all your soul, and with all your might. 6:6 Th= ese words, which I command you this day, shall be on your heart; 6:7 and= you shall teach them diligently to your children, and shall talk of the= m when you sit in your house, and when you walk by the way, and when you= lie down, and when you rise up. 2020 = ; Where to have one's treasure Luke 18:21 He said, "I have obse= rved all these things from my youth up." 18:22 When Jesus heard these t= hings, he said to him, "You still lack one thing. Sell all that you have= , and distribute it to the poor. You will have treasure in heaven. Come,= follow me." 18:23 But when he heard these things, he became very sad, f= or he was very rich.2070 = ; Who is our master? = ; Matthew 23:10 Neither be called masters= , for one is your master, the Christ.1555 = ; Who is the greate= st in the Kingdom of Heaven <= /i> The greatest is the one who is most humble, thus most healing. 18:1 = In that hour the disciples came to Jesus, saying, "Who then is greatest = in the Kingdom of Heaven?" 18:2 Jesus called a little child to himself, = and set him in their midst, 18:3 and said, "Most certainly I tell you, u= nless you turn, and become as little children, you will in no way enter = into the Kingdom of Heaven. 18:4 Whoever therefore humbles himself as th= is little child, the same is the greatest in the Kingdom of Heaven. 18:5= Whoever receives one such little child in my name receives me, 18:6 but= whoever causes one of these little ones who believe in me to stumble, i= t would be better for him that a huge millstone should be hung around hi= s neck, and that he should be sunk in the depths of the sea. 1960 = ; Words are things brought of one's = treasure Matthew 12:33 "= Either make the tree good, and its fruit good, or make the tree corrupt,= and its fruit corrupt; for the tree is known by its fruit. 12:34 You of= fspring of vipers, how can you, being evil, speak good things? For out o= f the abundance of the heart, the mouth speaks. 12:35 The good man out o= f his good treasure brings out good things, and the evil man out of his = evil treasure brings out evil things. 12:36 I tell you that every idle w= ord that men speak, they will give account of it in the day of judgment.= 12:37 For by your words you will be justified, and by your words you wi= ll be condemned."2043 = ; Your heart is where your treasure is<= /span> Matthew 6:19 "Don't lay up t= reasures for yourselves on the earth, where moth and rust consume, and w= here thieves break through and steal; 6:20 but lay up for yourselves tre= asures in heaven, where neither moth nor rust consume, and where thieves= don't break through and steal; 6:21 for where your treasure is, there y= our heart will be also. 1435 Behavior depends on emotion &nb= sp; Matthew 9:14 Then John's disciples came to him, saying, "Why = do we and the Pharisees fast often, but your disciples don't fast?" 9:15= Jesus said to them, "Can the friends of the bridegroom mourn, as long a= s the bridegroom is with them? But the days will come when the bridegroo= m will be taken away from them, and then they will fast.1724 What attracts people <= /i> Matthew 11:7 As these went their way, Jesus began to say to the mult= itudes concerning John, "What did you go out into the wilderness to see?= A reed shaken by the wind? 11:8 But what did you go out to see? A man i= n soft clothing? Behold, those who wear soft clothing are in king's hous= es. 11:9 But why did you go out? To see a prophet? Yes, I tell you, and = much more than a prophet.1853
		&nb= sp;Poset with maximal or minimal elements
	Poset with maximal = or minimal elements We may p= refer some sheets as more noteworthy than others, which we ignore, so th= at some are most valuable. Such extremes are assumed by the extreme prin= ciple. An example is the square as the rectangle of a given perimeter th= at yields the most area. 18 = ; Four= times a right triangle is the difference of two squares &nb= sp; A right triangle rotated four times brings = us back to where we were. This yields a difference of two squares from = which the Pythagorean theorem follows. Note also that sin(x) and cos(x)= are equal to their fourth derivatives. Gospel Math. 1845 = ; Righ= t triangles are more basic than circles &n= bsp; Consider a line segment of length AB and consider all of the= right triangles with hypotenuse AB. Drop the altimeter Z so that the hy= potenuse is X + Y. The radius is the average, the arithmetic mean (X+Y)= /2 and the altimeter is the geometric mean of X and Y. This makes clear= that the arithmetic mean is greater than the geometric mean because the= radius is greater than the altimeter. It also shows that the square ha= s greater area than other rectangles of the same perimeter. Then the ri= ght triangles form a semicircle without the two endpoints. Circles depen= d on distance and thus presume right triangles. Gospel Math. 1844 = Calculus of variations Wikipedia: Calculus of var= iations is a field of mathematics that deals with extremizing functional= s, as opposed to ordinary calculus which deals with functions. A functio= nal is usually a mapping from a set of functions to the real numbers. Fu= nctionals are often formed as definite integrals involving unknown funct= ions and their derivatives. The interest is in extremal functions that m= ake the functional attain a maximum or minimum value - or stationary fun= ctions - those where the rate of change of the functional is precisely z= ero. Perhaps the simplest example of such a problem is to find the curve= of shortest length, or geodesic, connecting two points. If there are no= constraints, the solution is obviously a straight line between the poin= ts. However, if the curve is constrained to lie on a surface in space, t= hen the solution is less obvious, and possibly many solutions may exist.= 910 = ; Extremal arguments involving infinite= sets In more complicated= problems, it is not always obvious what entities should be monotonized,= and the Well-Ordering Principle is not always true for infinite sets. I= n situations involving infinite sets, sometimes extremal arguments work,= but you need to be careful. .... Let f(x) be a polynomial with real co= efficients of degree n such that f(x)>=3D0 for all x in R. Define g(x):=3D= f(x) + f'(x) + f''(x) ... + f(n)(x). Show that g(x)>=3D0 for all x in R= . pg.88, The Art and Craft of Problem Solving, Paul Zeitz, 1999, Joh= n Wiley & Sons, Inc. 1739 &= nbsp; Extreme principle &nb= sp; If possible, assume that the elements of your = problem are "in order". Focus on the "largest" and "smallest" elements, = as they may be constrained in interesting ways. ... Work by contradictio= n; assume that whatever you wish to prove is not true. Then look at the = minimal (or maximal) element and develop an argument that creates a smal= ler (or larger) element, which is the desired contradiction. As long as = a set of real numbers is finite, it will have a minimum and a maximum el= ement. pg.82, The Art and Craft of Problem Solving, Paul Zeitz, 1999,= John Wiley & Sons, Inc.76 = ; When= black and white points are interspersed... &nbs= p; Let B and W be finite sets of black and white points,= respectively, in the plane, with the property that every line segment w= hich joins two points of the same color contains a point of the other co= lor. Prove that both sets must lie on a single line segment. ... The ext= reme principle comes to the rescue: Assume that the points do not all li= e on a line. Then they form at least one triangle. Consider the triangle= of smallest area. Two of its vertices are the same color, so between t= hem is a point of the other color, but this forms a smaller triangle - a= contradiction! pg.82, The Art and Craft of Problem Solving, Paul Ze= itz, 1999, John Wiley & Sons, Inc.1630 = Least squares &= nbsp; Wikipedia: The method of least squares is a = standard approach to the approximate solution of overdetermined systems,= i.e. sets of equations in which there are more equations than unknowns.= "Least squares" means that the overall solution minimizes the sum of th= e squares of the errors made in solving every single equation.906 = Maximum = We conceive or find the maximum.860 = Laffe= r Curve Wikipedia: In= economics, the Laffer curve is a theoretical representation of the rela= tionship between government revenue raised by taxation and all possible = rates of taxation. It is used to illustrate the concept of taxable incom= e elasticity (that taxable income will change in response to changes in = the rate of taxation). The curve is constructed by thought experiment. F= irst, the amount of tax revenue raised at the extreme tax rates of 0% an= d 100% is considered. It is clear that a 0% tax rate raises no revenue, = but the Laffer curve hypothesis is that a 100% tax rate will also genera= te no revenue because at such a rate there is no longer any incentive fo= r a rational taxpayer to earn any income, thus the revenue raised will b= e 100% of nothing. If both a 0% rate and 100% rate of taxation generate = no revenue, it follows that there must exist at least one rate in betwee= n where tax revenue would be a maximum.861 = ; Monotonizing = Always be aware of order and maximum/minimum in a= problem, and always assume, if possible, that the elements are arranged= in order ... Think of this as "free information". pg.83, The Art an= d Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1632 = ; Use of extreme principle with inducti= on Often, problems involv= e the extreme principle plus a particular argument style, such as contra= diction or induction. A common tactic is to use the extremes to "strip d= own" a problem into a smaller version ... The formal argument then uses = induction. ... Several positive integers are written on a blackboard. O= ne can erase any two distinct integers and write their greatest common d= ivisor and least common multiple instead. Prove that eventually the numb= ers will stop changing. pg.85, The Art and Craft of Problem Solving,= Paul Zeitz, 1999, John Wiley & Sons, Inc.1633 = ; Well-Ordering Principle &= nbsp; Every non-empty set of positive intege= rs has a least element. pg.83, The Art and Craft of Problem Solving,= Paul Zeitz, 1999, John Wiley & Sons, Inc.1631 = ; Divi= sion algorithm The extrem= e principle in number theory ... Let a and b be positive integers, b>=3D= a. Then there exist integers q,r satisfying q>=3D1 and 0<=3Dr = pg.92, The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wile= y & Sons, Inc.= 1634
		= Recombine - Explicitly Innovate<= /td>
	Recombine - Expli= citly Innovate 178 = Forced Analogy &= nbsp; introduce new angles 347 = Heuristic Ideation Technique = ; generate ideas by recombining possibilities<= /i> 348
		= Caring about caring
		Caring about caring &nb= sp; Growing our mind. Accumulate, select, organi= ze and reorganize thoughts. Recognize influences, inject feeling, direct= my thinking and create my own mind, my own personal language.41 Opening up possibilities 1923 = Accept a position of responsibility Conversing with: opportunities = I have learned by accepting invitations to participate. I complemented = Audrey Barnes on the gospel choir at St. Benedict the African and she in= vited me to join. I wrote a Lithuanian rock song for Loreta Grikaviciut= e and she invited me to sing it. Then in Lithuania we were invited to p= erform in the rock festival Roko marsas per Lietuva. As a youth, I was = invited to lead a scout group. In Uzhupis, I was invited to show my dra= wings, do big works and paint new works. Generally, this expanded my po= ssibilities and opened me up to my talents. I appreciated others' talen= ts and I learned a bit about the logic and sensibility of each domain.685 = ; Bus station lottery = ; When I came to Vilnius, Lithuania in 1997, I = enjoyed the Old Town very much, but every weekend I felt an impulse to g= et out of the city, have an adventure, get some exercise, and also, open= up some time to be with God. I also wanted to get to know the country = better. But I didn't like the pressure of planning ahead and sticking t= o a plan. So on Sundays I would go to the central bus station and look = for which buses were duly leaving and choose from among them. I thought= of this as a "bus station lottery". Bus tickets at the time were very = cheap for me, so that for $2 or $4 I could travel for an hour or two or = more. I could get off wherever I wanted to along the way. Meanwhile, I= would read the cultural newspapers I brought, work on my philosophical = notes and engage God a bit. I would get out somewhere, note the schedul= e of the returning buses, and go for a walk. It was a fun way of mixing= things up.192= 2 = ; Keep my mind as open as possible As a child, perhaps five-years-o= ld, appreciating the concept of God, and of believing in God or not, I w= ondered if such a concept might interfere with my thinking. But I asked= myself, which would close more doors in my thinking, to accept God or t= o reject God? I realized that to not reject God was to accept God as a = possibility, and thus keep that more or less open either way, whether Go= d was real. Although to accept God as a possibility was, I thought, to = accept God as a reality, in that God is real, first and foremost, as a c= oncept. But to reject God was to close that door completely. And so I = chose to accept the possibility of God.1225 = ; Reading a book that somebody recommen= ds I've learned quite a bit = from several books that others recommended that I read. An IrDA member f= rom Oregon introduced me to Christopher Alexander's "The Timeless Way of= Building". It's a wonderfully poetic book and I rank Alexander along w= ith Plato and Kant for his insightful theory and practice of pattern lan= guages. Malcolm Duerod recommended that I read "The Shack", a book depi= cting God's relationship with himself as the Holy Trinity, but it got me= thinking that, in my imagination, God is alone. June Terry recommended= "A Purpose Driven Life" and I've just read the first chapter, but it ma= de me realize that, as a child, I appreciated that my happy life did not= come from my own merits, yet it was I who appreciated that, and I who d= ecided to apply myself, and I who engaged God regarding that, as I mysel= f thought best.1299 = ; Take a long walk Sometimes I set aside a day, o= ften Sunday, for an excursion by bus and/or a long walk. I may bring al= ong a philosophical problem that I work on, along with relevant diagrams= or notes which I add to along the way. On such trips I often try to sp= end time with God, too. The trip helps me spend longer time on a problem= , wrap my mind around it, clears my mind a bit, perhaps includes some ra= ndom inputs or insights, helps me feel peaceful and reach deeper into my= feelings, balance them out.1700 = ; What would make my life easier? In China, one night in bed, I was= thinking to myself, how hard it is for me to be Lithuanian. I didn't h= ave anybody to speak to in Lithuanian, I didn't have time to read in Lit= huanian, I was learning Chinese and so my Lithuanian was atrophying. I = was raised to be Lithuanian, yet it would take an hour a day to truly be= so. So I thought that my life would be easier if I lived in Lithuania.= A second reason was that it would make it more likely that I could fal= l in love with a Lithuanian woman, as may unconscious was not allowing m= e otherwise, for I had grown up in a Lithuanian family and was committed= to being Lithuanian. 1590 = ; What would make things more likely? In China, one night in bed, I= was thinking to myself ... that if I lived in Lithuania, it would make = it more likely that I could fall in love with a Lithuanian woman, as my = unconscious was not allowing me otherwise, for I had grown up in a Lithu= anian family and was committed to being Lithuanian. 1591 Shaping my interests 532 = = Accumulate thoughts = Conversing with: my mind I have kept notes of m= y philosophical thoughts. In high school, I jotted down scribbles of my= thoughts on physical reality, energy and matter and light. In college = and graduate school, I would jot notes on paper, but my thoughts were so= murky, and headed off in so many directions, I found it impossible to w= rite them up. Then I purchased an Amstad word processor with memory and= I started writing up my ideas. I continued with my father's old Macint= osh which he gave me. I also kept sketch books with my notes and ideas.= Then I put the papers in presentation books with transparent pockets. = I programmed a FoxPro database for collecting examples of structures. = Later I created Microsoft Access databases for recording data from my go= od will exercises, my conversations with God, and my structures and diag= rams. I used Windows Paint to create diagrams. Later I used Dia diagra= m editor for Linux. I used Stephen Danic's Lucid Fried Eggs. Ultimatel= y, the best tool for accumulating and organizing my notes was a wiki. I= used PmWiki and ProWiki. Now I have created a database for collecting = ways of figuring things out. Since I graduated in 1993, I work almost e= very morning on my philosophy. I try to come up with at least one new i= dea every day. I remember my ideas by connecting them with my overall s= ystem and also by phrasing relevant questions which I can keep in mind. = Writing down my thoughts and organizing them helps me to see where they= fit within the overall system. I would forget them if I didn't write t= hem down because there are so many.592 = Accumulating first hand experiences Conversing with: others' experience= s I've asked hundreds of people, What is their deepest value in life= which includes all of their other values? I learned that some people ha= ve a deepest value and have formulated it, others feel it but haven't ex= pressed it in words, and others don't have one that they know of. I lea= rned that whether or not they have one seems to relate to their maturity= as independent thinkers; that the deepest value seems to arise from the= challenge of integrating competing values; that two people may give it = the same name, but when asked further, mean different things; thus that = each person seems to have a unique deepest value. Similarly, I've inter= viewed people about their questions that they don't know the answer to, = but wish to answer, as well as their endeavors and dreams. I've also co= llected episodes in my life, such as ways that I addressed doubts with c= ounterquestions. 612 = Stories about the money mind &nb= sp; 2006.09.03 Earlier this year I thought through wi= th John Rogers an online learning environment for community currency des= ign that was based on first hand = knowledge of the money mind. In particular, we expected personal storie= s to play a key role. I had made for myself a list of my own personal e= xperiences with money. Today I wrote up more than 60 of these vignettes= and am sorting through them and analyzing them. I wanted to see how th= e data compared to the theory. These stories are little episodes in life= that I recall and that I learn = from. It seems to me that each of them focuses on one of three emotiona= l dimensions: Calm vs. Riled; Positive vs. Negative; Sensitive vs. Insen= sitive. Each episode seems to help distinguish between the opposites in = some way. 888 = Center conversation around philosophic= al questions Conversing with: com= prehension of the essence As a student and a young man, in conversat= ion with others, I would bring up my philosophical questions as often as= I could, because they were meaningful to me, and I thought they might i= nfluence me and other in a positive way. They also helped me learn if p= eople were serious, what they cared about, whether it could be fruitful = to be with them, and after a year or so of such dialogue I would be inte= rested to be friends in a broaders sense.782 = Create my own personal language= Conversing with: my insightfulness = As I noticed conceptual structures such as divisions of everything, I ha= d to give names to them, both in English and in Lithuanian. Sometimes I= adapted existing words and sometimes I made up new words or expressions= . Thus I created a private language of a few hundred concepts. This hel= ped me see that I could think nonverbally, because I was able to imagine= and think about and relate these concepts without words, although the w= ords were very helpful, too.766 = Direct my thinking &= nbsp; Conversing with: capability By directing my thin= king to thoughts or objects, important or otherwise, I note what I can b= e sensitive to, the variety of what can engage my attention. I can temp= orarily focus my attention on any thought, or away from it by focusing o= n another, or even be still in my mind, yet ultimately my mind is always= drawn by peripheral thoughts or events. I like to think. It is not so= mething I want to turn off. Rather, I want to make the most of my think= ing. I see that by ever thoughtfully directing my thinking I have in la= rge part shaped the mind that I live in.786 = Influencing myself &= nbsp; Conversing with: my own essence I exert my will = power to influence myself to be good in all ways. As a young person, I = didn't care much for fruits or vegetables, but as I got older, I would a= t times encourage or even force myself to eat them, so that now I eat ma= ny more of them. I was weak and didn't have friends, so after school I = would go outside and play sports on our block, and then later, I went ou= t for the water polo team in high school. At home we spoke Lithuanian, = but it took great effort to think in Lithuanian, and yet I chose to do s= o and persisted, successfully. I think this especially taught me to val= ue "caring about thinking", which became my motto for Minciu Sodas, my l= ab of independent thinkers. But even more importantly, I was vigilant i= n my mind to weed out mean thoughts and to think good thoughts. 632 = Muddle through = ; Conversing with: future In 1992, I was elated that t= he woman from Lithuania who I loved with all my heart had agreed to visi= t me in California. She stayed for three months, which is long enough t= hat I couldn't quite remember not being with her. When she left, I felt= devastated. Within a few months she married a man who she loved, but w= ho hadn't been in love with her. I couldn't help but think about her ev= ery fifteen minutes. I knew that it would be a long time before I felt = better. I made a plan to combat my depression with regular activities t= o pull me through. Throughout Lent, I made sure to go to church an extr= a day each week, on Wednesdays, to be closer to God. I read the Bible e= very night, hopping around from book to book, reading it all of it for t= he first time. I read a Chinese classic, "The Three Kingdoms", to enter= tain myself. And I did sports every day, mostly jogging. The year coin= cided with my writing my Ph.D. thesis, which was good, because that was = a bit of drudgery, too. Three months had gone by when I realized that I= was still thinking about her every fifteen minutes, but that my thought= s had changed. I was no longer thinking about our time together, but rat= her of the feelings that I had thinking about her. And so I realized th= at my emotional window encompassed the last three months, and although m= y feelings seemed just as strong, but they were feelings about reflectio= ns. And so each three months my reflections were once removed, like cop= ies of copies.7= 28 = ; Prime my mind = ; In 2000 or so, I made a list of eight areas in my p= ersonal life where I wanted to improve myself: Be with God; foster my co= nscience; foster my willpower; foster my stewardship; be curious; serve = others; support others' endeavors; be successful. Then every morning af= ter I prayed I would spend about twenty minutes going through the list a= nd just imagining examples of how I might work on each goal that day. I= n this way, I primed my mind so that I was ready to make time for such a= ctivities as they came up naturally. My life was very flexible and this= mental exercise was much better for me than trying to schedule activiti= es. After several years, I felt that these matters had become quite nat= ural, my feelings had subsided concerning them, and I didn't have to do = this routine, but they were part of my life.1921 = Recognizing influences on my perspecti= ve Conversing with: my own thinki= ng I notice how television engrosses my thinking and how I am a free= r person by not having one. Radio takes up mental bandwidth, too. The = cultures that I have lived in have shaped my thinking of what's importan= t. My efforts to link up with God have fostered my appetite for being w= ith God.631= = Selecting thoughts &= nbsp; Conversing with: my own attention There are so m= any things to think about, to occupy myself with or be distracted by. I= try to focus on those thoughts that build towards a greater purpose. F= or this reason, I very much enjoy my quest "to know everything and apply= that usefully". I take note of any thought that might contribute towar= ds that, but especially, deep ideas, profound ideas, foundational ideas.= I thus imprint them in my mind. I often write them down. I look for = them whenever I find my mind drifting towards shallow concerns. This he= lps me conclude what I truly care about.636 = Sorting thoughts &nb= sp; Conversing with: limits of my mind I've written my= thoughts as notes on paper, in sketchbooks, and on index cards and in p= resentation books. I've stored them in various databases, including Fox= Pro, Access and OpenOffice Base. But I've found it especially helpful to= write them down on HTML pages, especially wiki pages. I've used Lucid = Fried Eggs, PmWiki, ProWiki and my own interface. Sometimes I work on t= hem on one humungous page, sorting and resorting my thoughts and notes, = making hundreds and hundreds of edits. Other times I work with several = hundred different wiki pages. Working with the master page helps me loo= k for and develop the overall view.638 = Take care of myself = Conversing with: my welfare In 1992, I was deep= ly distraught when the woman I loved with all my heart returned to Lithu= ania and married the man she loved, who hadn't loved her. I made a plan= to combat my loss with regular activities to pull me through. Throughou= t Lent, I made sure to go to church an extra day each week, on Wednesday= s, to be closer to God. I read the Bible every night, hopping around fro= m book to book, reading it all of it for the first time. I read a Chines= e classic, "The Three Kingdoms", to entertain myself. And I did sports e= very day, mostly jogging. The year coincided with my writing my Ph.D. th= esis, which was good, because that was a bit of drudgery, too. 729
		= Focusing and maximizing our openness
	Focusing and maxim= izing our openness 1674 = ; Ask for something more substantial from participants= Fresh Air interview of Steve Cooga= n, June 9, 2011: The idea for The Trip was first proposed by Michael = Winterbottom, who directed Coogan and Brydon in A Cock and Bull Story. W= interbottom wanted something "more substantial" from the two actors, Coo= gan says.1= 874 = ; Being invited by the right person = ; Fresh Air interview of Stephen Colbert, June 15, 2001: That's when Sondheim wrote Colbert a personal note. "[He said that] ag= ainst his instincts, he had a good time on my show and would I consider = playing Harry in Company?" he says. "And he ended the letter with the se= ntence 'You have a perfect voice for musical theater.' And I read it to = my wife and she said, 'Boy, you have to do this. No one, let alone Steph= en Sondheim is going to ask you to do Sondheim.' And I said, 'You're rig= ht, I have to do it.' "1935 = ; Changing the level of protein intake<= /span> Can the amount of protein th= at we eat change the activity of an enzyme? How does protein intake a= ffect cancer initiation? Our first test was to see whether protein intak= e affected the enzyme principally responsible for aflatoxin metabolism, = the mixed function oxidase (MFO). This enzyme is very complex because it= also metabolizes pharmaceuticals and other chemicals, friend or foe to = the body. Paradoxically, this enzyme both detoxifies and activates aflat= oxin. It is an extraordinary transformation substance. At the time we s= tarted our research, we hypothesized that the protein we consume alters = tumor growth by changing how aflatoxin is detoxified by the enzymes pres= ent in the liver. ... After a series of experiments, the answer was clea= r. Enzyme activity could be easily modified simply by changing the level= of protein intake. pg.51, T.Colin Campbell, Thomas M.Campbell, The = China Study, 2006. Health.1829 = ; Enlisting a team Fresh Air interview of boxer Sugar Ray Leonard, June 6, 2011: After= deciding to go pro, Leonard enlisted Morton to bring others onto his te= am. Morton asked several men, including lawyer Mike Trainer and Angelo D= undee, Muhammad Ali's trainer, to work with Leonard.1888 = ; Hear stories from real life &nb= sp; I heard similar stories from my other patients .. He= was killed when he pushed a girl out of the way of the bullets. My pati= ent, the mother of the dead boy, climbed into bed with her mother, also = my patient, and they held each other and cried together. Her two survivi= ng children struggled at school. She developed diabetes and hypertension= and some heart abnormalities. The grandmother's health deteriorated as = well. How can these experiences not affect health and accelerate death i= n our patients? Each story left me, mouth agape, in shock and dismay. "County: Life, Death and Politics at Chicago's Public Hospital" by Da= vid Ansell M.D. Copyright 2011, David Ansell M.D. Published by Academy C= hicago Publishers. All Rights Reserved. Health. Chicago.19341939 = ; Read some of a key per= son's public letters Pam= ela McLean, June 10, 2011. I don't pretend to read all the group post= s that land in my inbox - but I do try to dip in to yours now and again = to sample your thoughts and activities.1835 = ; What keeps people interested = Fresh Air interview of J.J. Abrams, June 13, 2011: "Whe= ther it's commercial, whether it's online, whether it's any number of ma= gazines, by the time a movie comes out =E2=80=94 and all it is is entert= ainment =E2=80=94 people are force-fed information they didn't even want= . ... So by the time you go to the movie, it doesn't have that power any= more."1872=
		&n= bsp;Control what our mind focuses on
		Control what our mind focuses on = Third, structuring helps us to focus our an= alysis. The mind instinctively focuses. That's how the mind works, so it= 's going to focus whether we want it to or not. Therefore, we're better = off to work with the mind than against it and, in so doing, control what= it focuses on. If we don't, it will do its own focusing, and its shortc= uts can lead us down the wrong path. The Thin= ker's Toolkit by Morgan D.Jones2114 = ; Focus [Edumnd Bol= les, A Second Way of Knowing] We shift attention from sensation to sensa= tion, watching only part of the visual field, listening to only some sou= nds around us, savoring certain flavors among many. Our capacity to sele= ct and "impart intensity" to sensations prevents us from being slaves to= the physical world around us. Reality is a jumble of sensations and det= ails. Attention enables us to combine separate sensations into unified o= bjects and lets us examine objects closely to be sure of their identity.= ... = The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2132
		= Maximize what I can take
		Maximize what I can take 1085 = ; Be with the be= st person to be influenced by When I was at the end of my resources in 2000, I asked, who would = be the best person for me to work for, for my personal growth. So I turn= ed to Cass McNutt who was active at our lab, interested in tools for thi= nking, and experienced as an entrepreneur. I was especially impressed by= his visceral love of God. Working for him was trickier than we both had= thought. I'm glad I had the chance and that I was able to turn to him a= nd he was able to take me.1009 = ; Consider how m= y time is best spent At = their suggestion, I agreed to cancel my request, which I did, but then t= hey said they would still have to audit me. I said that it would destroy= me and that I would have to consider instead devoting that time to publ= icly making my case.1016 = ; Make the most = of wasted time In gradua= te school I started collecting record albums because I worked as a teach= ing assistant and grading math exams was numbingly mindless. I also want= ed to expand my horizons.1012 = ; Maximizing joy= When I was a child, I g= ot just enough allowance each week to buy a chocolate bar. I liked choco= late very much and I would buy a Nestle's crunch bar because I had figur= ed out that it was thin and so I could spend the longest time eating it.= I think I timed myself once and I spent a whole half hour nibbling thro= ugh one bar. That was like heaven, but a bit ridiculous.1022
		&nb= sp; Be present

		= ; Variational principle
		Variational principle Wikipedia: A variation= al principle is a scientific principle used within the calculus of varia= tions, which develops general methods for finding functions which minimi= ze or maximize the value of quantities that depends upon those functions= . For example, to answer this question: "What is the shape of a chain su= spended at both ends?" we can use the variational principle that the sha= pe must minimize the gravitational potential energy. According to Cornel= ius Lanczos, any physical law which can be expressed as a variational pr= inciple describes an expression which is self-adjoint. These expressions= are also called Hermitian. Such an expression describes an invariant un= der a Hermitian transformation. Felix Klein's Erlangen program attempted= to identify such invariants under a group of transformations. In what i= s referred to in physics as Noether's theorem, the Poincar=C3=83=C6=92=C3= =86=E2=80=99=C3=83=E2=80=9A=C3=82=C2=A9 group of transformations (what i= s now called a gauge group) for general relativity defines symmetries un= der a group of transformations which depend on a variational principle, = or action principle. See: History of variational principle= s in physics and Brachistochrone, the curve of fastest descent907 = Fermat's principle&nb= sp; Wikipedia: In optics, Fermat's pri= nciple or the principle of least time is the principle that the path tak= en between two points by a ray of light is the path that can be traverse= d in the least time. This principle is sometimes taken as the definition= of a ray of light. However, this version of the principle is not genera= l; a more modern statement of the principle is that rays of light traver= se the path of stationary optical length. Fermat's principle can be used= to describe the properties of light rays reflected off mirrors, refract= ed through different media, or undergoing total internal reflection. It = follows mathematically from Huygens' principle (at the limit of small wa= velength), and can be used to derive Snell's law of refraction and the l= aw of reflection.908 Gauss' principle of least constrai= nt Wikipedia: The pri= nciple of least constraint is a least squares principle stating that the= true motion of a mechanical system of N masses is the minimum of the qu= antity above for all trajectories satisfying any imposed constraints, wh= ere m-k, r-k and F-k represent the mass, position and applied forces of = the kth mass. Gauss' principle is equivalent to D'Alembert's principle.= The principle of least constraint is qualitatively similar to Hamilton'= s principle, which states that the true path taken by a mechanical syste= m is an extremum of the action. However, Gauss' principle is a true (loc= al) minimal principle, whereas the other is an extremal principle.904 = Hertz's princi= ple of least curvature W= ikipedia: Hertz's principle of least curvature is a special case of G= auss' principle, restricted by the two conditions that there be no appli= ed forces and that all masses are identical.905 = Principle of least action= Wikipedia: In physic= s, the principle of least action - or, more accurately, the principle of= stationary action - is a variational principle that, when applied to th= e action of a mechanical system, can be used to obtain the equations of = motion for that system. The principle led to the development of the Lagr= angian and Hamiltonian formulations of classical mechanics. ... Maupertu= is felt that "Nature is thrifty in all its actions" ... the action princ= iple is not localized to a point; rather, it involves integrals over an = interval of time and (for fields) an extended region of space. Moreover,= in the usual formulation of classical action principles, the initial an= d final states of the system are fixed, e.g., Given that the particle be= gins at position x1 at time t1 and ends at position x2 at time t2, the p= hysical trajectory that connects these two endpoints is an extremum of t= he action integral. In particular, the fixing of the final state appears= to give the action principle a teleological character which has been co= ntroversial historically.903
		&= nbsp;Follow the teacher, share in the virtue.
		Follow the teac= her, share in the virtue. Je= sus asks in different ways, What is greater? The teacher is greater than= the student. At best, the student is the equal of the teacher. Jesus c= ame to set people at odds. Distinguishing, who can hurt the body, and wh= o the soul.826<= /a> = ; A disciple is not above his teacher Luke 6:39 ... "Can the bli= nd guide the blind? Won't they both fall into a pit? 6:40 A disciple is = not above his teacher, but everyone when he is fully trained will be lik= e his teacher.= 1357 = ; Are you doing bad? and even worse?= Matthew 23:15 Woe to yo= u, scribes and Pharisees, hypocrites! For you travel around by sea and l= and to make one proselyte; and when he becomes one, you make him twice a= s much of a son of Gehenna as yourselves. 1566 = ; Are you making any converts? Matthew 23:15 Woe to you, scr= ibes and Pharisees, hypocrites! For you travel around by sea and land to= make one proselyte; and when he becomes one, you make him twice as much= of a son of Gehenna as yourselves. 1567 = ; Are you making people better?<= /span> Matthew 23:15 Woe to you, sc= ribes and Pharisees, hypocrites! For you travel around by sea and land t= o make one proselyte; and when he becomes one, you make him twice as muc= h of a son of Gehenna as yourselves. 1568 = ; Being a blind guide&nbs= p; Matthew 23:23 "Woe to you, scribes and= Pharisees, hypocrites! For you tithe mint, dill, and cumin, and have le= ft undone the weightier matters of the law: justice, mercy, and faith. B= ut you ought to have done these, and not to have left the other undone. = 23:24 You blind guides, who strain out a gnat, and swallow a camel! 1564 = ; Can different values coexist Matthew 10:29 "Aren't two spa= rrows sold for an assarion coin? Not one of them falls on the ground apa= rt from your Father's will, 10:30 but the very hairs of your head are al= l numbered. 10:31 Therefore don't be afraid. You are of more value than = many sparrows.= 1807 = ; Distinguish between individuals and m= ultitudes Matthew 8:18 Now w= hen Jesus saw great multitudes around him, he gave the order to depart t= o the other side. 1614 = ; Give authority over unclean spirits= Matthew 10:1 He called = to himself his twelve disciples, and gave them authority over unclean sp= irits, to cast them out, and to heal every disease and every sickness. <= span class=3D"mazi">1737= = ; Having them answer &n= bsp; Mark 12:15 He said to them, "Whose is this= image and inscription?" They said to him, "Caesar's." 1397 = ; How people think in their hearts Matthew 5:22 But Jesus, pe= rceiving their thoughts, answered them, "Why are you reasoning so in you= r hearts?1321<= /a> = ; Hypocrisy as cause for greater con= demnation The condemnati= on is greater because of the pretense. Matthew 23:13 "Woe to you, scrib= es and Pharisees, hypocrites! For you devour widows' houses, and as a pr= etense you make long prayers. Therefore you will receive greater condemn= ation. 1558 = ; Listening to teachers and asking them = questions Luke 2:46 It h= appened after three days they found him in the temple, sitting in the mi= dst of the teachers, both listening to them, and asking them questions. = 2:47 All who heard him were amazed at his understanding and his answers.= 1323 = ; Looking for exceptions&nb= sp; Matthew 7:9 Or who is there among you= , who, if his son asks him for bread, will give him a stone? 7:10 Or if = he asks for a fish, who will give him a serpent? 1479 = ; What is Jesus' name to believe in?= "Jesus' name" by which to b= elieve is the "one and only Son of God". It seems to be enough to belie= ve in his name (his ideal, his possibility) rather than the historical J= esus. John 3:17 For God didn't send his Son into the world to judge the= world, but that the world should be saved through him. 3:18 He who beli= eves in him is not judged. He who doesn't believe has been judged alread= y, because he has not believed in the name of the one and only Son of Go= d. 3:19 This is the judgment, that the light has come into the world, an= d men loved the darkness rather than the light; for their works were evi= l. 3:20 For everyone who does evil hates the light, and doesn't come to = the light, lest his works would be exposed. 3:21 But he who does the tru= th comes to the light, that his works may be revealed, that they have be= en done in God."2077 = ; What is the nature of wisdom?<= /span> Wisdom approaches people whe= re they are at, or where they claim to be at. Matthew 11:18 For John cam= e neither eating nor drinking, and they say, 'He has a demon.' 11:19 The= Son of Man came eating and drinking, and they say, 'Behold, a gluttonou= s man and a drunkard, a friend of tax collectors and sinners!' But wisdo= m is justified by her children." 1865 = ; What is the source of hate Matthew 10:22 You will be hated= by all men for my name's sake, but he who endures to the end will be sa= ved. 1795<= /span> = ; What should we be anxious about? Matthew 6:34 Therefore don= 't be anxious for tomorrow, for tomorrow will be anxious for itself. Eac= h day's own evil is sufficient.1462 = ; Whether people are aware of what t= hey are asking Matthew 2= 0:20 Then the mother of the sons of Zebedee came to him with her sons, k= neeling and asking a certain thing of him. 20:21 He said to her, "What d= o you want?" She said to him, "Command that these, my two sons, may sit,= one on your right hand, and one on your left hand, in your Kingdom." 20= :22 But Jesus answered, "You don't know what you are asking. 2013 = ; Whether they think Jesus is of God Jesus wants to know how th= ey think of him, whether or not he is from God, because that determines = how he interacts with them. Luke 18:18 A certain ruler asked him, sayin= g, "Good Teacher, what shall I do to inherit eternal life?" 18:19 Jesus = asked him, "Why do you call me good? No one is good, except one=E2=80=94= God. 18:20 You know the commandments: 'Don't commit adultery,' 'Don't mu= rder,' 'Don't steal,' 'Don't give false testimony,' 'Honor your father a= nd your mother.'"2067 = ; Who finds or loses life= Matthew 10:39 He who seeks his lif= e will lose it; and he who loses his life for my sake will find it. 1817 = ; Who is greater &nb= sp; Matthew 11:11 Most certainly I tell you, am= ong those who are born of women there has not arisen anyone greater than= John the Baptizer; yet he who is least in the Kingdom of Heaven is grea= ter than he. 1= 854 = ; Who is judged or not &= nbsp; John 3:17 For God didn't send his Son int= o the world to judge the world, but that the world should be saved throu= gh him. 3:18 He who believes in him is not judged. He who doesn't believ= e has been judged already, because he has not believed in the name of th= e one and only Son of God. 3:19 This is the judgment, that the light has= come into the world, and men loved the darkness rather than the light; = for their works were evil. 3:20 For everyone who does evil hates the lig= ht, and doesn't come to the light, lest his works would be exposed. 3:21= But he who does the truth comes to the light, that his works may be rev= ealed, that they have been done in God."2078 = ; Who is the teacher? = ; Matthew 23:8 But don't you be called 'R= abbi,' for one is your teacher, the Christ, and all of you are brothers.= 1551 = ; Who only kills the body= The body can be resurrected. Matth= ew 10:26 Therefore don't be afraid of them, for there is nothing covered= that will not be revealed; and hidden that will not be known. 10:27 Wha= t I tell you in the darkness, speak in the light; and what you hear whis= pered in the ear, proclaim on the housetops. 10:28 Don't be afraid of th= ose who kill the body, but are not able to kill the soul. Rather, fear h= im who is able to destroy both soul and body in Gehenna. 1806 = ; Why Jesus came &nb= sp; Jesus brings out every person on their own.= Matthew 10:34 "Don't think that I came to send peace on the earth. I d= idn't come to send peace, but a sword. 10:35 For I came to set a man at = odds against his father, and a daughter against her mother, and a daught= er-in-law against her mother-in-law. 10:36 A man's foes will be those of= his own household.1812 = ; Why should they learn from Jesus Matthew 11:29 Take my yok= e upon you, and learn from me, for I am gentle and lowly in heart; and y= ou will find rest for your souls. 11:30 For my yoke is easy, and my burd= en is light.19= 18 = ; Will this be relevant to people? Matthew 23:36 Most certai= nly I tell you, all these things will come upon this generation. 1577 = ; Wisdom is expressed through many style= s Wisdom caters to all s= tyles, yet those who wish will reject each style. Luke 7:31 ... To what = then will I liken the people of this generation? What are they like? 7:3= 2 They are like children who sit in the marketplace, and call one to ano= ther, saying, 'We piped to you, and you didn't dance. We mourned, and yo= u didn't weep.' 7:33 For John the Baptizer came neither eating bread nor= drinking wine, and you say, 'He has a demon.' 7:34 The Son of Man has c= ome eating and drinking, and you say, 'Behold, a gluttonous man, and a d= runkard; a friend of tax collectors and sinners!' 7:35 Wisdom is justifi= ed by all her children.1365 = ; Working independently of his discip= les Matthew 11:1 It happ= ened that when Jesus had finished directing his twelve disciples, he dep= arted from there to teach and preach in their cities. 1822
		&nb= sp;Least upper bounds, greatest lower bounds=
		Least upper boun= ds, greatest lower bounds We= construct monovariants which say, in effect, that the only results whic= h count are those that beat the record-to-beat, which yields sequences o= f increasing minimums, thus a greatest lower bound, or alternatively, a = least upper bound.19 = ; Finite Injury Priority Method= Muchnik [1956] and Fried= berg [1957] invented a computable approximation to this forcing argumen= t, called the finite injury method , where they allow a requirement to = finitely often be injured (i.e, previous progress to be destroyed), an= d then they begin again to satisfy the given requirement, until after it= is finally satisfied and never injured thereafter. We present finite in= jury priority arguments and a solution to Post's problem of c.e. sets A = and B of incomparable Turing degree. Robert Soare's upcoming book, "= Computability Theory and Applications: The Art of Classical Computabilit= y".1660 = ; Monovariant &= nbsp; A monovariant is a quantity which may or may not c= hange at each step of a problem, but when it does change, it does so mon= otonically (in only one direction). Another term used for monovariant is= semi-invariant. Monovariants are often used in the analysis of evolving= systems, to show that certain final configurations must occur, and/or d= etermine the duration of the system. Many monovariant arguments also ma= ke use of the extreme principle (at least the well-ordering principle).<= /i> pg.112, The Art and Craft of Problem Solving, Paul Zeitz, 1999, John= Wiley & Sons, Inc. 1747 = ; John Conway's Checker Problem = ; Put a checker on every lattice point ... in the plane with y= -coordinates less than or equal to zero. The only legal moves are horizo= ntal or vertical "jumping". By this we mean that a checker can leap over= a neighbor, ending up 2 units up, down, right, or left of its original = position, provided that the destination point is unoccupied. After the j= ump is complete, the checker that was jumped over is removed from the bo= ard. ... Is it possible to make a finite number of legal moves and get a= checker to reach the line y=3D5? pg.114, The Art and Craft of Probl= em Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc. 1751 = ; Numb= er of games in an elimination-style tournament &= nbsp; Find a formula for the number of games that must b= e played in an elimination-style tournament starting with n contestants.= ... The number of people who are left in the tournament is clearly a mo= novariant over time. This number decreases by one each time a game is co= ncluded. Hence if we start with n people, the tournament must end after = exactly n-1 games! pg.112, The Art and Craft of Problem Solving, Pau= l Zeitz, 1999, John Wiley & Sons, Inc. 1748 = ; Reve= rsing cards in a deck The= n cards of a deck ... are labeled 1,...,n. Starting with the deck in an= y order, repeat the following operation: if the card on top is labeled k= , reverse the order of the first k cards. Prove that eventually the firs= t card will be 1 (so no further changes occur). pg.112, The Art and = Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc. 1750 Constraint optimization = ; Wikipedia: Constraint optimization (also called constr= ained optimization) seeks for a solution maximizing or minimizing a cost= function. A constraint optimization problem can be defined as a regular= constraint satisfaction problem in which constraints are weighted and t= he goal is to find a solution maximizing the weight of satisfied constra= ints. Alternatively, a constraint optimization problem can be defined as= a regular constraint satisfaction problem augmented with a number of "l= ocal" cost functions. The aim of constraint optimization is to find a so= lution to the problem whose cost, evaluated as the sum of the cost funct= ions, is maximized or minimized. The regular constraints are called hard= constraints, while the cost functions are called soft constraints. = Note that solutions of constraint optimization generally involve a seri= es of maximums or minimums.933 = Noah practiced constrained optimization &= nbsp; Tom Wayburn, 2011.04.28: Richard Tapia of Rice = University math department suggests that Noah must have been one of the = earliest practitioners of constrained optimization, as he had to house a= ll the animals and in such a way that none got eaten.940 = Branch and bound= Wikipedia: Constraint optimizat= ion can be solved by branch and bound algorithms. These are backtracking= algorithms storing the cost of the best solution found during execution= and use it for avoiding part of the search. More precisely, whenever th= e algorithm encounters a partial solution that cannot be extended to for= m a solution of better cost than the stored best cost, the algorithm bac= ktracks, instead of trying to extend this solution.935 = First-choice bounding funct= ions Wikipedia: In th= e branch and bound method, one way for evaluating this upper bound for a= partial solution is to consider each soft constraint separately. For ea= ch soft constraint, the maximal possible value for any assignment to the= unassigned variables is assumed. The sum of these values is an upper bo= und because the soft constraints cannot assume a higher value. It is exa= ct because the maximal values of soft constraints may derive from differ= ent evaluations: a soft constraint may be maximal for x =3D a while anot= her constraint is maximal for x =3D b.936 = Russian doll search Wikipedia: This method runs = a branch-and-bound algorithm on n problems, where n is the number of var= iables. Each such problem is the subproblem obtained by dropping a seque= nce of variables x_1, ..., x_i from the original problem, along with the= constraints containing them. After the problem on variables x_i+1, ...,= x_n is solved, its optimal cost can be used as an upper bound while sol= ving the other problems. In particular, the cost estimate of a solution = having x_i+1, ..., x_n as unassigned variables is added to the cost that= derives from the evaluated variables. Virtually, this corresponds on ig= noring the evaluated variables and solving the problem on the unassigned= ones, except that the latter problem has already been solved. 937
		= Appeal - Implicitly Innovate
		Appeal - Implicitly = Innovate 179 = Ethos, Logos, Pathos &= nbsp; identify weakness in presentation 349 = Heart, Hand, Mind &nbs= p; appeal to a person holistically 350
		= Caring about caring about caring
		Caring about caring ab= out caring Acknowledging what tra= nscends our limits. Let go of my personal limits and live the vision= of an unlimited God who can live through all.42 My personal limitations Conve= rsing with: impossibility 584 = ; Appreciate my vulnerabilities&= nbsp; I was in first or second grade when= I got glasses. It turned out that my vision was very bad. I can hardl= y make out the features of people's faces. Although I resisted needing = glasses, I appreciated that they were a great gift. I wondered, how wou= ld I have survived before glasses were invented? I might not be able to= work at all, I might have to be a beggar. And so I appreciated that I = was not master of my own circumstances, and thus not free to do as I ple= ased.2090<= /span> = Battle with myself &= nbsp; Conversing with: my own fate Many times, I've co= mforted myself by touching myself, and despite that pleasure, I know wel= l that afterwards I feel dissipated and depressed. Yet my mind is so cr= eative in coming up with justifications at the time. But it does seem t= o make a difference that I battle my mind, even if I lose. And from thi= s battle I have learned many things, but especially that my mind and my = will are different. I am my will and not my mind.<= a href=3D"http://t.co/ju1KSid#702">702 = Be myself &nbs= p; Conversing with: my destiny When I have fallen in love, i= t has generally been wholehearted, and without much chance that my feeli= ngs would be returned. Yet I have been true to myself and thereby, I th= ink, grown in integrity and learned what it is that I find lovely in ano= ther person.691= = Care for mind, body and spirit&= nbsp; Conversing with: harmonious life In = eighth grade we were taught the Greek view of harmonious growth in mind,= body and spirit. This encouraged me to take up sports, even though I w= as very weak. In high school, I joined the water polo and swimming team= s. We swam from 6:30 to 8:00 in the morning and from 2:30 to 5:00 in th= e afternoon. I was always the worst, but I grew to be quite well built = and of at least average strength.778 = Come to see or learn = ; Conversing with: my understanding I was in lov= e with a wonderful woman, but she married another man. I didn't stay in= touch with her, but I did stay in love with her for almost twenty years= . Once she wrote me with condolences on the death of my niece. I wrote= her back that she was the dearest person in my life, and for her husban= d's sake, I didn't think it good that I be in touch with her, but I trul= y wished that she apply her creative talents somehow, as she was a beaut= iful soul, and Lithuania needed that very much. A year or so passed and= my love finally faded, in part because I thought she wasn't living her = talents, and in part because she was working as a cog in the European Un= ion, apparently, not for the short term. Then I fell in love with anoth= er woman. It happened, finally, that I had reason to call her, and she = was delighted. She told me all of her troubles. Then I raised my conce= rns that she was not applying herself and that she had sold out. She to= ok it very badly and berated me. I saw how sensitive she was to herself= , and not to me, and I wondered, why did I find her attractive all of th= ose years? I realized that the world had changed. During the Soviet oc= cupation of Lithuania, when people did what they could to avoid an inner= life, she stood out to me as a person with an amazingly rich one, in wh= ich I believed. But now I thought it apparent that it revolved around h= er own feelings.727 = Desire to live as an example&nb= sp; Conversing with: my destiny I wanted t= o put my philosophy into practice and so I started developing good will = exercises to address situations where we are riled because we believe on= e thing in our hearts, but in the world it is otherwise. In pursuing th= is, I wanted to live as an example. After two years I stopped because I= realized that being riled meant that my mind was thinking wrongly, and = so why start from that and encourage myself and others to focus on that?= Later, after I completed my video summary "I wish to know", I wanted t= o start a culture, but more and more I realized that it was not by livin= g as an example to emulate, but by playing a role that God put me in a p= osition to play.737 = End a relationship &= nbsp; Conversing with: inability I had a roommate who = was very bright but, as time went on, I wasn't able to engage with him i= n a constructive way. I decided that we were injuring each other as peo= ple and so I told him that I was ending our relationship. I learned my = limitations, that I was unable to have a healthy relationship with him.<= span class=3D"mazi">750 = Exercise a secondary principle&= nbsp; Conversing with: respect My Mother t= aught me that when I go to a dance, I must invite all of the girls to da= nce and not just the ones I thought were pretty. And although this was = not most important to me, but even so, many times when I did not know wh= om to ask, I remembered her words and obeyed them. She made me care mor= e about other people.757 = Stay true to God &nb= sp; Conversing with: fate As a child in grade school, = I was weak and young, but during recess, I didn't want to be protected b= y the teachers, so I would walk far off into the field. And quite often= a disturbed child would come up to bully me. I was a very good child a= nd my response was to be as good as possible and to appeal in my heart t= o God to save me. Always some stronger kid would come and save me.715 = Try out all possible solutions&= nbsp; Conversing with: impossiblity In avo= iding bankruptcy, I'm trying to take every reasonable step along the way= . In trying to make a living from my business, Minciu Sodas, I kept look= ing for the most promising and sensible opportunity. In pursuing my swee= theart, I'm trying to show that I care about her in every way. In tryin= g to save David's home, and especially, in encouraging him to take actio= n to save it, I've tried to show that I'm ever interested. These are al= l areas where I can't assure my own success yet must try to do my part.<= span class=3D"mazi">755 Note the limits of thinking C= onversing with: wholeness 580 = Applying Scripture &= nbsp; Conversing with: heritage I wanted to have a way= to hear from God, so I relied on the prayer "Our Father", which I had p= rayed many times, was part of my personal heritage, my family's heritage= and my religious upbringing. 673 = Justification = Conversing with: given Certain ideas I have thought a= re dangerous, and justification helped me to realize, in what sense I th= ink they are. Also, I was born in California but raised Lithuanian, and= justification made me embrace my Lithuanian heritage in a very consciou= s way.606 = Limits of the mind &= nbsp; Conversing with: limitlessness I have thought ab= out Everything all of my life, and have found it to have only four prope= rties.735 = Participate in discussion = Conversing with: variety of perspectives = What is happiness? I've seen in discussion led by Michael Gillespie tha= t such a question leads to only a few types of answers, namely: joy, con= tentment, assurance. Which is to say, it is a trigger for a representat= ion of the threesome in terms of doing, thinking and being.769 = Recognize that I do not know how else = to think Conversing with: unavoid= ability I learned of the divisions of everything by noting the limit= s of my mind and my inability to think in more than just a few ways.797
		= Recognizing the limits of our openness=
		Recognizing the = limits of our openness 1675 = = ; Be immersed in the lives of those who suffer&nbs= p; The hand of institutional racism wa= s invisible to most white people, including my friends, who tended to av= oid institutions or neighborhoods that catered to black people out of fe= ar for their own safety or discomfort. My weekly session with my patient= s in the General Medicine Clinic heightened my sensitivity to the issues= of race in America. In 1906, W.E.B. DuBois said, "The problem of the tw= entieth century is the problem of the color line." I was a middle-class = white man from a small city in upstate New York. I had never been in a p= osition to understand the meaning of these words until I was immersed in= the lives of my patients that revealed their truth so powerfully and so= tragically. "County: Life, Death and Politics at Chicago's Public = Hospital" by David Ansell M.D. Copyright 2011, David Ansell M.D. Publish= ed by Academy Chicago Publishers. All Rights Reserved. Health. Chicago.1= 9341936 = ; Being introduced to an activity &nb= sp; Fresh Air interview of boxer Sugar Ray Leonard, June 10= , 2011: It was Leonard's shyness as a child, he says, that prompted h= is brother Roger to first take him to a boxing gym as a young teenager.<= /i>1880 = ; Have hang ups and neuroses &n= bsp; Fresh Air interview of Steve Coogan, June 9, 2011: "There= is a certain insecurity and a certain kind of malcontentedness that [I]= just channel into [my] work," he says. "Being creative means some of th= e things that bother you stop bothering you, because you exploit them cr= eatively. So it's a kind of a strange process, but you need to have hang= ups and neuroses to be creative. If you're just in a state of nirvana, y= ou're not going to be very interesting or funny."1876 = ; Let people fight it out &= nbsp; The oral surgery clinic had a perverse policy. They woul= d treat only fifty patients daily. No appointments. Fantus' doors opened= at 7:00 a.m. Patients with toothaches, loose teeth, oral tumors and mou= th abscesses lined up in painful silence during the dark hours of the ea= rly morning. When the doors to Fantus were opened, it was like the start= ing gate at Arlington race track. They're off! The crowd scrambled throu= gh the open Fantus gates. Patients, some in wheelchairs, others with can= es and crutches, raced to get to the Oral Surgery clinic to win one of t= he fifty prized slots that guaranteed a dentist would see them. This sys= tem had persisted through the years despite its inhumanity. "County= : Life, Death and Politics at Chicago's Public Hospital" by David Ansell= M.D. Copyright 2011, David Ansell M.D. Published by Academy Chicago Pub= lishers. All Rights Reserved. Health. Chicago.1934<= a href=3D"http://t.co/ju1KSid#1945">1945 = ; Not wanting to listen to your trainer &nb= sp; Fresh Air interview of boxer Sugar Ray Leonard, J= une 6, 2011: "When you're losing, you really don't want to hear what = your trainer has to say. He may tell you the right thing, but you're so = exhausted, you're so beat up, that your lungs are burning, your legs are= tired. And you've given up1895 = ; Things getting out of control = ; Fresh Air interview of boxer Sugar Ray Leonard, June 6, 2= 011: I shared the wealth. And I tried to give [my family] a home. I b= ought homes for most of my family members. And I bought cars. I bought 1= 0 cars, they were Pintos. They were free [for them.] I just tried to hel= p them because they're my brothers and sisters. But things just got out = of control. Things became too frequent.1902 = ; What a typical person goes through &n= bsp; Just about every man had a scar from a knife = or bullet wound. Almost every woman had lost a close family member to vi= olence. The names of lost loves and relatives were tattooed onto the arm= s and in the memories of my patients. "County: Life, Death and Poli= tics at Chicago's Public Hospital" by David Ansell M.D. Copyright 2011, = David Ansell M.D. Published by Academy Chicago Publishers. All Rights Re= served. Health. Chicago.19341940
		&n= bsp;Become aware of bias
		Become aware of bias We instinctively rely on, and are susceptible to, biases and assump= tions. Bias - an unconscious belief that conditions, governs, and compel= s our behavior ... Immanuel Kant theorized that the mind is not designed= to give us uninterpreted knowledge of the world but must always approac= h it from a special point of view ... with a certain bias. ... Acquiring= a bias is not a conscious mental process ... we are stuck with biases w= hether we want them or not ... It is bias that enables us to repeat an a= ction we have taken before without going through all of the mental steps= that led to the original act. ... assumptions beget biases, biases beg= et assumptions ... much more often than not, our biases lead us to corre= ct conclusions and reactions, and they do it exceedingly fast. ... the r= apidity of this process and the fact that it is unconscious - and thus u= ncontrolled - have the unfortunate effect of strengthening and validatin= g our biases at the expense of truth. The reason ... is that we tend to= give high value to new information that is consistent with our biases, = thus reinforcing them, while giving low value to, and even rejecting, ne= w information that is inconsistent. New information that is ambiguous ei= ther is construed as consistent with our biases or is dismissed as irrel= evant. ... because most biases are hidden from our consciousness, we are= n't aware of their existence or of their effects ... The trouble with bi= ases is that they impose artificial constraints and boundaries on what w= e think. The insidious part is that we aren't even aware that our thinki= ng is restricted. The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2127
		= Learn my limits
		Learn my limits = ; Learn my limits, typically by overstepping them.1086 = ; Ask for help w= ith a formality During t= he independence movement, the dollar was worth a lot and I could hire an= organizer. I paid him for one or two months but then he needed his labo= r book to be signed by somebody official. So I suggested that we go the = reform movement's office, that they could do that formality, and I was s= urprised that they refused.1060 = ; Ask neighbors = for donations In high sc= hool we used to raise money for our swim team by having a swimathon. We = would go door to door and ask for a penny or more per lap that we swam. = We ended up swimming 200 laps. It was good practice asking people for su= pport and quite surprising how supportive people were.1065 = Be a balanced p= erson When I was in high= school, some of my classmates started getting part time jobs. I wondere= d whether I should get one, whether that would help me be a more balance= d person. 931 = ; Break somethin= g I once wanted a telesc= ope for Christmas and my parents hesitated but I was surprised to find t= hat they gave me one. I found it early in the morning and tried to put i= t together but apparently I broke it. And to my sadness that was the end= of the telescope, my parents did not replace it.1024 = Get extraordina= ry help As a graduate st= udent I arranged to spend a year at the University of Vilnius in Soviet-= occupied Lithuania. However, I didn't hear back from them. The vice pres= ident of the Academy of Sciences was a friend of a family friend and he = offered to take care of the matter. It didn't seem right to have to go t= hrough such a private channel. But it made all the difference. I receive= d my invitation as planned. It was very strange to see the system in act= ion and the amount of authority required to handle such a small matter. 977<= /p> = Learn as much a= s I could When I was in = college, I used to work in the summer, but would save my = money so that I wouldn't have to work during the year. I wanted to study= = and learn as much as I possibly could, and I was glad that my parents = were supportive. 962<= /p> = Not corrupt my = thinking When I was fini= shing my Ph.D., I wondered how I would make a living, if I was to devote= myself to what I wanted to do. I thought that a university was a shelte= red environment and so I would not learn about life. Also, if I made mon= ey from my philosophical pursuits, then I would corrupt myself and my th= inking. I decided that I should work part-time and be free to spend the = rest of my time on my own projects.890 = ; Not doing as I= was told to do When I w= as a student I went to Soviet-occupied Lithuania and so my grandfather g= ave me some money to buy items for some old anti-communist guerilla figh= ters at the dollar store. And he said be sure to bring back the receipts= . So I met the people and I bought what they wanted but they wanted to k= eep the receipts and not thinking I let them. I didn't understand why th= ey were so important, so long as the money was spent. And my grandfather= was very unhappy because he said that he will not have receipts to give= to the emigre organization and they won't be giving any more money beca= use they can't account for it.1068 = Not reliving my= parents' life My father= wanted us to make the most of the opportunity that we had not having to= work. I felt encouraged by his view because it was his first hand accou= nt, having had worked, and I accepted it, and I felt I did not need to r= elive it. It's interesting that in my life I have never had a full time = job.932 = Realizing peopl= e's limits I had a close= friend who I stayed with in the United States when he invited me for hi= s wedding. I was just starting my business and I stayed at his home with= his parents when he left for his honeymoon. And they started to wonder = what I was doing there. And then I realized that although I believed in = giving and receiving and my friend had been quite supportive but that wa= s not normal and it was possible to quickly run up against limits. I was= anxious and I told God I was too anxious to work part-time on my philos= ophy and on the business too at that point in my life. I offered a deal = with him to let me focus on the business and I would make the business m= odel work for him, too. Then I felt more at ease. 972<= /p> = What kind of pe= rson do I want to be? Wh= en I completed my graduate courses, it was time to write a Ph.D. thesis.= However, it wasn't my goal to be a mathematician, I had simply wanted t= o get an education. So I didn't know for what reason to continue, althou= gh it felt a bit awkward to stop. My mother supplied the reason, she sai= d that I wanted to be a person who finishes things, and I wouldn't have = to explain for the rest of my life why I hadn't finished. That was the r= eason I continued. 892<= /p>
		&nb= sp; Applying myself
		Applying myself &n= bsp; 149 My helpfulness 96 = Knowing what belongs to me = ; 456 = Knowing what I will help with&n= bsp; 471 = Recognizing how I can help others 461 = Recognizing the kind of person I am 424 My limits 103 = Being limited = 458 = Not finding alternatives &= nbsp; 454 = Realizing my limitations &= nbsp; 459
		&= nbsp;Belong to the Lord, share in the favor of the = Lord.
		Belo= ng to the Lord, share in the favor of the Lord. = We receive each other, we receive Jesus, we receive = a reward from God. Jesus is our reward.824 = ; Cast out with a word &nbs= p; Matthew 8:16 When evening came, they brought= to him many possessed with demons. He cast out the spirits with a word,= and healed all who were sick; 8:17 that it might be fulfilled which was= spoken through Isaiah the prophet, saying: "He took our infirmities, an= d bore our diseases."1613 = ; Do people and Jesus truly know each= other? Matthew 7:22 Man= y will tell me in that day, 'Lord, Lord, didn't we prophesy in your name= , in your name cast out demons, and in your name do many mighty works?' = 7:23 Then I will tell them, 'I never knew you. Depart from me, you who w= ork iniquity.' 1492 = ; God through Jesus and angles saves= those who stumble God, = Jesus, angels look to protect and save those who stumble. Matthew 18:10= See that you don't despise one of these little ones, for I tell you tha= t in heaven their angels always see the face of my Father who is in heav= en. 18:11 For the Son of Man came to save that which was lost.1345 = ; How are we one with Jesus and God<= /a> Matthew 10:40 He who rec= eives you receives me, and he who receives me receives him who sent me. = 10:41 He who receives a prophet in the name of a prophet will receive a = prophet's reward. He who receives a righteous man in the name of a right= eous man will receive a righteous man's reward. 10:42 Whoever gives one = of these little ones just a cup of cold water to drink in the name of a = disciple, most certainly I tell you he will in no way lose his reward." = 1819 = ; How can judgment be escaped? Matthew 23:33 You serpents, y= ou offspring of vipers, how will you escape the judgment of Gehenna?1575 = ; How does one receive&nb= sp; We receive by receiving on behalf of = another, of God in them, by giving through them. Matthew 10:40 He who re= ceives you receives me, and he who receives me receives him who sent me.= 10:41 He who receives a prophet in the name of a prophet will receive a= prophet's reward. He who receives a righteous man in the name of a righ= teous man will receive a righteous man's reward. 10:42 Whoever gives one= of these little ones just a cup of cold water to drink in the name of a= disciple, most certainly I tell you he will in no way lose his reward."= 1820 = ; Note from whom God hides and to wh= om reveals The significa= nce of Jesus' miracles are hidden from John the Baptist, from Bethsaida = and Capernaum, from the wise and understanding, but "infants" are deligh= ted and uplifted, those who are fresh in faith, who don't want to justif= y the world, but want it bettered, by those who suffer and labor, who wa= nt healing. Matthew 11:25 At that time, Jesus answered, "I thank you, Fa= ther, Lord of heaven and earth, that you hid these things from the wise = and understanding, and revealed them to infants. 11:26 Yes, Father, for = so it was well-pleasing in your sight. = 1910 = ; What are the consequences of not be= lieving? Matthew 7:26 Ev= eryone who hears these words of mine, and doesn't do them will be like a= foolish man, who built his house on the sand. 7:27 The rain came down, = the floods came, and the winds blew, and beat on that house; and it fell= =E2=80=94and great was its fall." 1497 = ; What happens to the bad tree? Matthew 7:19 Every tree that = doesn't grow good fruit is cut down, and thrown into the fire.1490 = ; What is beyond this world will manife= st in this world Matthew 6:6= But you, when you pray, enter into your inner room, and having shut you= r door, pray to your Father who is in secret, and your Father who sees i= n secret will reward you openly. 1597 = ; What is needed for judgment= Jesus is the judge because he is a= "son of man" and knows what it means to be human. Yet he seeks not his= own will, but that of his Father, who sent him and gave him life. John = 5:24 "Most certainly I tell you, he who hears my word, and believes him = who sent me, has eternal life, and doesn't come into judgment, but has p= assed out of death into life. 5:25 Most certainly, I tell you, the hour = comes, and now is, when the dead will hear the Son of God's voice; and t= hose who hear will live. 5:26 For as the Father has life in himself, eve= n so he gave to the Son also to have life in himself. 5:27 He also gave = him authority to execute judgment, because he is a son of man. 5:28 Don'= t marvel at this, for the hour comes, in which all that are in the tombs= will hear his voice, 5:29 and will come out; those who have done good, = to the resurrection of life; and those who have done evil, to the resurr= ection of judgment. 5:30 I can of myself do nothing. As I hear, I judge,= and my judgment is righteous; because I don't seek my own will, but the= will of my Father who sent me.2085 = ; What is possible for man and God<= /span> God can change one's heart. = Luke 18:26 Those who heard it said, "Then who can be saved?" 18:27 But = he said, "The things which are impossible with men are possible with God= ."2073 = ; What is the ultimate outcome? Matthew 24:1 Jesus went out f= rom the temple, and was going on his way. His disciples came to him to s= how him the buildings of the temple. 24:2 But he answered them, "You see= all of these things, don't you? Most certainly I tell you, there will n= ot be left here one stone on another, that will not be thrown down." 1560 = ; What makes people believe&n= bsp; God the Father changes people's hear= ts. John 4:47 When he heard that Jesus had come out of Judea into Galil= ee, he went to him, and begged him that he would come down and heal his = son, for he was at the point of death. 4:48 Jesus therefore said to him,= "Unless you see signs and wonders, you will in no way believe." 4:49 Th= e nobleman said to him, "Sir, come down before my child dies." 4:50 Jesu= s said to him, "Go your way. Your son lives." The man believed the word = that Jesus spoke to him, and he went his way. 2084 = ; What sanctifies what?&n= bsp; 23:16 "Woe to you, you blind guides,= who say, 'Whoever swears by the temple, it is nothing; but whoever swea= rs by the gold of the temple, he is obligated.' 23:17 You blind fools! F= or which is greater, the gold, or the temple that sanctifies the gold? 2= 3:18 'Whoever swears by the altar, it is nothing; but whoever swears by = the gift that is on it, he is obligated?' 23:19 You blind fools! For whi= ch is greater, the gift, or the altar that sanctifies the gift? 23:20 He= therefore who swears by the altar, swears by it, and by everything on i= t. 23:21 He who swears by the temple, swears by it, and by him who was l= iving in it. 23:22 He who swears by heaven, swears by the throne of God,= and by him who sits on it. 1572 = ; Where did the good and the bad com= e from Matthew 13:37 He = answered them, "He who sows the good seed is the Son of Man, 13:38 the f= ield is the world; and the good seed, these are the children of the King= dom; and the darnel weeds are the children of the evil one. 13:39 The en= emy who sowed them is the devil. The harvest is the end of the age, and = the reapers are angels. 13:40 As therefore the darnel weeds are gathered= up and burned with fire; so will it be at the end of this age. 13:41 Th= e Son of Man will send out his angels, and they will gather out of his K= ingdom all things that cause stumbling, and those who do iniquity, 13:42= and will cast them into the furnace of fire. There will be weeping and = the gnashing of teeth. 13:43 Then the righteous will shine forth like th= e sun in the Kingdom of their Father. He who has ears to hear, let him h= ear.1985 = ; Who comes to the light = ; John 3:17 For God didn't send his Son i= nto the world to judge the world, but that the world should be saved thr= ough him. 3:18 He who believes in him is not judged. He who doesn't beli= eve has been judged already, because he has not believed in the name of = the one and only Son of God. 3:19 This is the judgment, that the light h= as come into the world, and men loved the darkness rather than the light= ; for their works were evil. 3:20 For everyone who does evil hates the l= ight, and doesn't come to the light, lest his works would be exposed. 3:= 21 But he who does the truth comes to the light, that his works may be r= evealed, that they have been done in God."2079 = ; Who is our Father? = Matthew 23:9 Call no man on the earth yo= ur father, for one is your Father, he who is in heaven.1554 = ; Who loves the world &n= bsp; It is the Father who loved the world and g= ave up his Son for it. John 3:14 As Moses lifted up the serpent in the = wilderness, even so must the Son of Man be lifted up, 3:15 that whoever = believes in him should not perish, but have eternal life. 3:16 For God s= o loved the world, that he gave his one and only Son, that whoever belie= ves in him should not perish, but have eternal life. 3:17 For God didn't= send his Son into the world to judge the world, but that the world shou= ld be saved through him. 2083 = ; Whom to fear and why&nb= sp; Fear God. God is the only one who can= destroy completely. Matthew 10:26 Therefore don't be afraid of them, fo= r there is nothing covered that will not be revealed; and hidden that wi= ll not be known. 10:27 What I tell you in the darkness, speak in the lig= ht; and what you hear whispered in the ear, proclaim on the housetops. 1= 0:28 Don't be afraid of those who kill the body, but are not able to kil= l the soul. Rather, fear him who is able to destroy both soul and body i= n Gehenna. 180= 5 = ; Why is a reward received Matthew 10:40 He who receives you= receives me, and he who receives me receives him who sent me. 10:41 He = who receives a prophet in the name of a prophet will receive a prophet's= reward. He who receives a righteous man in the name of a righteous man = will receive a righteous man's reward. 10:42 Whoever gives one of these = little ones just a cup of cold water to drink in the name of a disciple,= most certainly I tell you he will in no way lose his reward." 1821 = ; What does Jesus offer, as Lord?= The Sabbath is a day of exc= eptions, and the Son of Man is, by his slack, his mercy, the one who mak= es exceptions possible. Sacrifice is just a sign of slack. Thus there = is no guilt for those who the Son of Man gives slack to. Matthew 12:7 B= ut if you had known what this means, 'I desire mercy, and not sacrifice,= ' you would not have condemned the guiltless. 12:8 For the Son of Man is= Lord of the Sabbath." 1927
		&nb= sp;Limits
		Limits = We allow a boxing-in or boxing-out process to continue indefinitely, yie= lding (or not) a limit that may very well transcend the existing system = (as the reals transcend the rationals). 20 = ; Continuum hypothesis = Wikipedia: There is no set whose cardinality is strictly between tha= t of the integers and that of the real numbers. ... The contributions of= Kurt G=C3=B6del in 1940 and Paul Cohen in 1963 showed that this continu= um hypothesis can neither be disproved nor be proved using the axioms of= Zermelo-Fraenkel set theory, the standard foundation of modern mathemat= ics, provided ZF set theory is consistent.1174 = ; Infinite Injury Priority Method Shoenfield [1961] and = Sacks independently [1963a,b,c] invented the infinite injury method fo= r computable constructions in which a given requirement may be injured = infinitely often, but only computably so, and still somehow succeed. Ya= tes, Martin, and Lachlan extended and refined this method and added othe= rs such as the minimal pair construction of a pair of noncomputable c.e.= sets A and B whose degree have infimum degree 0 the degree of the compu= table sets. By the end of the initial period of computability 1930--1970= the constructions and proofs had become so complicated that it had beco= me very difficult to obtain any intuition about them. Fortunately, Lachl= an introduced: (1) the method of games in computability Lachlan [1970a= ] (see Chapter on Lachlan Games); (2) the topology of priority arguments= Lachlan [1973], which gave rise to the true stages method for infinit= e injury (refined in Chapter 8); and (3) the use trees in Lachlan [197= 5] to divide a strategy for a priority argument into a collection of str= ategies, one assigned to each node of the tree, and each equipped with a= guess about the outcome of higher priority strategies. Lachlan's origin= al use of trees [1975] for a 0''' argument was very complicated, but the= tree method with simplifications was presented in Soare [1985] and is f= urther refined in this book in Chapters 9 and 10. It has been used very = extensively in computability theory ever since. These three improvements= and their refinements allow the reader of this book to help keep in min= d what Leo Harrington calls the mountain top view of the proof: a= small number of key elements, their interaction, how we resolve conflic= ts between conflicting requirements, and the underlying beauty of the pr= oof. Robert Soare's upcoming book, "Computability Theory and Applica= tions: The Art of Classical Computability".1661
		= Dream - Explicitly Care
		Dream - Explicitly Care 180 = Cover Story &nbs= p; thinking big 351 = Customer, Employee, Shareholder&n= bsp; imagine futures from several perspectives= 355 = Make a World &nb= sp; sketch a vision of a future state <= a href=3D"http://t.co/ju1KSid#354">354 = Storyboard = ; imagine and create possibilities 353 = The Comeback Album of The Decade Game imagining a new life 352
		= Caring about caring about caring about caring=
		Caring ab= out caring about caring about caring = ;Acknowledging what transcends our limits. Let go of my personal = limits and live the vision of an unlimited God who can live through all.= 43 Accentuate the core of my ideal = Conversing with: my purpose Conversing with: my purpose567 = Analyzing the ideal person = ; Conversing with: perfection I analyzed J= esus's emotional responses as found in the Gospel of Mark. From those e= pisodes I deduced Jesus's expectations.674 = Choose what is most comprehensive Conversing with: my point of departur= e I was finding it useful to ask Minciu Sodas leaders, staring with = Franz Nahrada, about their "key concept", and better said, their "deepes= t value" in life. I thought I should formulate my own as well, and fina= lly did, as I was engaging a young man in Lithuania about that. I found= it difficult to do. As a child, I had greatly valued honesty, of sayin= g what you truly think and feel, of never lying under any circumstances,= not accepting any excuse for that. I also valued knowledge and learnin= g. I thought that the truth was key for all other values to be true. I= n surveying my values, I realized that it was not knowing the truth or h= aving the truth but living by truth that expressed what I felt important= . Life was more than truth, but truth could and must be my key to live = my life with integrity. 719 = Exhaustive review &n= bsp; Conversing with: significance In 2009, to my surp= rise, I completed my quest "to know everything" with a 10 minute video s= ummary, "I Wish to Know". I needed to find my bearings afterwards. I c= onsidered, in the broadest sense, what did I learn from my quest? And w= hat came next? I learned two things. I need not be cold or distant to = God as I had been, I need not keep God at arm's length, for God's point = of view had made sense of absolutely every structure that I had uncovere= d in my search. I realized also that the useful application of this kno= wledge would be to foster a culture of truth, of self-learning, of figur= ing things out, which from my experience at Minciu Sodas was very much J= esus' vision of the Kingdom of Heaven. 707 = Make meaningful &nbs= p; Conversing with: meaningfulness In Vilnius, I babys= at my god daughter Deboryte and helped her with her homework. That ende= d badly because I was interested to teach her more broadly, but she was = focused on doing what was assigned, and so I made her upset. Even so, I= tried to draw meaning from the evening, and I remembered that I was a g= ood tutor. I had worked at Ivy League Tutoring in Chicago, and since I = had exhausted my hopes to make a living from Minciu Sodas, perhaps I cou= ld go back and work there. I called the founder, Adrian Hunter, and ind= eed, he agreed to hire me, and I left for Chicago within a month. More = generally, as a youth, I tried to draw meaning from every episode in my = life, every talent I developed, and build on them, although certain skil= ls, such as my Spanish, always seemed underutilized, and I spent time on= others, such as playing guitar, that I never sufficiently developed to = get past the hump so I could build on them. 759 = ; Seek the most straightforward meaning= In reading the Scripture, e= specially, passages where the meaning is not obvious, I try to consider= the most straightforward interpretation, even the most childlike one. = It may not be the traditional interpretation because people may want to = take away a different meaning than is intended. At the Last Supper, Jesu= s equated his bread with his body and his wine with his blood, and gave = it to his disciples to eat and to drink. Taking him literally, and tryi= ng to understand what he might mean, most straightforwardly, I thought, = "Given that this is his bread, he will eat it, and it will become his bo= dy. In that sense, it is his body already, by its destiny, its purpose.= And so, if he gives what is truly his to them instead, he changes its c= ourse, and they are eating his body. In the parable of the Good Samarit= an, by which Jesus explains the meaning of "neighbor" in "Love your neig= hbor", he asks, "Who was the neighbor to the Samaritan?" People don't p= ay attention to the fact that he defines the neighbor as the one who hel= ped, not the one who was hurt.1951 = Sort out my own feelings &= nbsp; Conversing with: my knowledge Sorting thro= ugh my feelings, I recognized various distinctions. I disavowed feeling= s of shame because they came from others and not myself, and so I felt i= t was wrong to shame and to feel shame. In contrast, embraced feelings = of guilt as healthy because they came from inside my own self, and I cou= ld resolve them internally. I felt pleasure or comfort in fondling mys= elf, but afterwards it inevitably made me feel depressed and spent, and = so I concluded from my own feelings that it was wrong for me to do and I= should ever resist that, even though I constantly failed. I thought it= was my own personal addiction, sin that helped me identify with other p= eople's addictions, failings of character, sins. Yet I felt that, in an= y event, it was not central to my life, it was not what was key to under= standing me.741= Appreciate that God's will and my will are independent &= nbsp; Conversing with: divineness Conversing wit= h: divineness53= 8 = Acknowledge that God behaves inconsist= ently in Scripture Conversing wit= h: God's truth I find it very freeing to note and consider inconsist= encies in God's behavior in Scripture. I note that the priest Eli's son= s were wicked, and God had them killed in battle, and the Philistines to= ok the ark of Yahweh, and upon hearing that, Eli fell backward and died.= (1 Sam 4) Yet the priest Samuel's sons perverted justice, and the peopl= e refused them, and wanted a king, and God granted them a king. (1 Sam 8= ) Or when Zacharias asks the angel Gabriel, "How can I be sure of this?= ", that his barren wife will give birth, then he is made mute until the = child is born, because he did not believe. But when Mary asks the angel = Gabriel, "How can this be?", that she will give birth to a child, being = a virgin, then the angel explains how. (Luke 1) People draw conclusions= from the Scriptures. They may not notice such discrepancies; they may = not choose to notice them; and if they do notice them, then they may exp= lain them away in many ways, so as to defend an idea that God is consist= ent. But given such discrepancies, I don't see how I can draw any concl= usions, except that God's reasoning is hidden, or more constructively, t= hat God is inconsistent, practically speaking, from our point of view. = Ultimately, God does as God pleases, and God is free, and such a thought= is freeing, whereas people are consistent, just as machines are consist= ent in their outcomes, and alcoholics are consistent in their goals. I'= ve been taught that there are four Gospels so as to have different witne= sses tell the same story and corroborate each other. But once I checked = their versions of the Resurrection and was astonished to see that they d= iffered in absolutely every fact: who saw Jesus first; how many people w= ere there; where did that occur and so on. They disagree on absolutely = every fact and are completely incompatible! Which typically would not be= the case if they were lying or inventing. Which suggests that the Resu= rrection involved a total breakdown of time and space, whether real or i= maginary. Noticing such difficulties supports my hope that the Scriptur= e is a perfect text in that it transcends the particular wording or tran= slation, but says something constructive to anybody who reads it in good= faith. 764= = Acknowledging Scripture &n= bsp; Conversing with: self-imposed assumptions I= acknowledge that Scripture, such as the Gospels of Mark, Matthew, Luke = and John, is the message of God intended for us to take to heart. I am = attracted to what Jesus says, and I accept his logic. As a youth I read= the Gospels, including the Sermon on the Mount, where Jesus says that i= f your eye causes you to sin, then you should pluck it out, for it is be= tter to go to heaven without an eye, then to go to hell in one piece. J= esus' logic seemed clear and sensible. If I were not to follow it, then= I would be denying him and denying Scripture.616 = Ask God to intercede = ; Conversing with: hope By asking God to interce= de, I figure out, what do I truly want? I and other prayed for Lithuani= a to become free of Soviet occupation and it came true! I loved a woman= with all my heart, but I didn't think I should interfere with her free = will, so I asked God to fulfill at least two of three wishes of mine, th= at she visit me, that she be happy and that she fall in love with me. A= nd she did visit me and she was happy, but she didn't fall in love with = me.714 = Do not go along with God &= nbsp; Conversing with: baselessness I don't alwa= ys do as God has me do. In China, as I was writing up how to do the goo= d will exercises, and I was engaging God for his help to work together, = God told me to sit on the window sill. I did not want to offend God, bu= t I thought that it was too much to ask of my faith. God was a bit miff= ed, and his reply was that this put our relationship in perspective. In= Chicago, I prayed God that my friend David, who I was living with, not = lose his home. God told me that he would stay there, and indeed I would= live there with my sweetheart. Even so, I looked for another place to = live, because I did not want to live there after it was confirmed sold. = God was not mad at me. 726 = First hand experience &nbs= p; Conversing with: my life experiences First ha= nd experience makes me think twice about statements that may otherwise s= eem questionable, such as Jesus' exhortations that what we believe is wh= at happens. I and others prayed that Lithuania be free of the Soviet Un= ion, and amazingly, this did come to pass. I dedicated myself to know e= verything and apply that knowledge usefully, and I enjoyed many discover= ies which led in 2009 to my overview of knowledge, achieving my goal, an= d yet continuing onward. I wished to fall in love with a woman whom I c= ould love with all my heart, more than any other, and God blessed me jus= t so. 608 = Give in to myself &n= bsp; Conversing with: tolerance By succumbing to mysel= f, my vices or my weaknesses, I appreciate God's forgiveness, God's slac= k for others. I am not so stark or harsh.703 = ; Hold God's behavior to at least my ow= n standard I loved a woman w= ith all of my heart, but she chose to marry another man. I told God tha= t I still loved her, but that for me to be true to pursuing her, I would= have to kill this man. I told God that I wasn't going to do that. And= so I told God that he owed me, for I had loved her so completely, and t= hat I wouldn't love a woman unless I loved her more than I had loved thi= s woman. Seventeen years later, unexpectedly, God brought me to such a = woman! And I love her unreservedly, and God encourages me.1232 = Imagine that God is responsible= Conversing with: God's wishes When = my computer crashes, if I lose a letter or file, then I often stop and w= onder, what was the point of losing that? what would God have me do othe= rwise? And so I try to make good of the loss, often thinking and writing= more kindly, or focusing on the key point. In Chicago, when my boss to= ld me he wouldn't give me more hours because I was unwilling to change m= y approach, then I considered, maybe God doesn't want me to have more ho= urs there, which surprised him, as he was a devout Christian.763 = ; Jesus focused on what is natural Sometimes, as my debts grew, I w= ould wonder if I should have foresworn from ever going into debt. Howev= er, I realized the positive aspects of my debts. And I recalled that Je= sus discouraged saving, but had much to say about debtors, which he seem= ed to take as the natural human condition, and which makes sense, given = that we're created by God and raised by our parents.1109 = Make sense of Scripture &n= bsp; Conversing with: God's thinking I learn a d= ifferent way of looking at things by trying to make sense of concepts fr= om Scripture. 5= 99 = Perceive a structure in Scripture Conversing with: divineness I am = encouraged when I observe in Scripture a structure that I am aware of fr= om elsewhere. I noted that Jesus' antitheses in the Sermon on the Mount= are six of the counterquestions. I identified Jesus' condemnations, "W= oe to you, Pharisees", with the six expressions of the will. I related = his parable of the sower and Satan's temptations with the levels of the = foursome. This helps me think of these structures from a fresh perspect= ive.725 = Stay in touch = Conversing with: good will Sometimes my values seem t= o diverge so sharply from people I know that I don't see the point of ma= intaining a relationship. But then I realize that, even so, I can have = good will and maintain it at some most basic level. I allow and recogni= ze that there may be some purpose greater than my own perspective.752
		&= nbsp;Allowing for an ideal that transcends our limi= ts
		Allowin= g for an ideal that transcends our limits = 9= 21 = ; Being drawn to an activity &n= bsp; Fresh Air interview of boxer Sugar Ray Leonard, June 10, 201= 1: "For some reason, I was drawn towards boxing," he says. "Or maybe = boxing drew me towards it =E2=80=94 because once I put those gloves on, = after about six months, boxing was my life."1881 = Finding the value that lies between th= ose things we know Bradford = Hansen-Smith, 2011.04.25: Meaning is not in explaining what we know, = rather in finding the value that lies between those things we know. Ali= gnment with that which is out of our range extends our understanding rev= ealing greater symmetries and ways of solving problems, like ways of mak= ing a living without having to get into someone else's box.920 = ; What we're not taught in school = ; If I had not asked, she would not have told me. = I might have just adjusted her medicine and had her return in three mont= hs. I did not learn how to treat this in medical school. There was no me= dicine for grief, for the inevitability of urban violence. I felt powerl= ess. I mumbled my sympathy and asked her to return in a month to recheck= her blood pressure. "County: Life, Death and Politics at Chicago's= Public Hospital" by David Ansell M.D. Copyright 2011, David Ansell M.D.= Published by Academy Chicago Publishers. All Rights Reserved. Health. C= hicago.1934193= 8 = ; Surprising interaction &n= bsp; Bob Lichtenbert's aphorisms: "I'm so glad = when other people respond to me." Somebody responded to me and I was sur= prised that they didn't change the subject.1441
		&n= bsp;Establish rational, systematic frameworks
		Establish rational, systematic frameworks<= /span> Fifth, by establishing ra= tional, systematic frameworks within which to analyze problems, analytic= structuring techniques enable us to impose our analytic will on our sub= conscious mind, preventing it from following the instinctive mental trai= ts that lead to faulty analysis. The Thinker'= s Toolkit by Morgan D.Jones2116
		= Steward what I am given
		Steward what I am given&= nbsp; Our vocation.<= a href=3D"http://t.co/ju1KSid#1087">1087 = ; Consider what = I need to do myself And = given that I need to pay taxes in both Lithuania and the United States I= think that I should do all the paperwork myself because I need to be on= top of it myself and there is nobody here who knows both systems anyway= s.1054 = ; Considering th= e ultimate outcome At on= e point our leader Algis Razminas of the Folk Creativity Club Atzalynas = won enough projects to make a living, but they were cancelled by the gov= ernment when the minister changed and the budget was redone.1036 = ; Observe the ca= re that people show others When my parents used to travel in Soviet-occupied Lithuania they woul= d carry two suitcases full of presents, household items such as calculat= ors and bottles of aspirin. We had hundreds of relatives because our gra= ndparents were active in keeping in touch with their brothers and sister= s and cousins. A lot of care went into thinking what people might need, = and once there, deciding who to give what.1070 = ; Observe the pa= ths that people take in life = In high school there was a student who worked long hours in the caf= eteria. His work was often his explanation for what he was doing with hi= s time. When he got paid he would ask for his wage to be given to him in= rolls of quarters. Then he would throw his quarters down the sidewalk w= ith the hope, it seemed, that people would run after them. I concluded t= hat work could very well be a spiritual dead end.1045
		&nb= sp; Making sense of fate
		Making sense of fate&nbs= p; 159 = Making sense of fate's intent&n= bsp; 472
		&nb= sp; Millstone hung around the neck
	Millstone hung around the neck &nbs= p; In the gospels of Mark, Matthew and Luke, Jesus re= fers to a "huge millstone" hung around the neck, which I think is the "r= elative learning" of taking a stand, following through and reflecting, f= or it is very slow learning, yet it is better than evil. In Greek it is= "mulos onikos", which is a donkey-powered millstone, and I take him to = compare such a ponderous "relative learner" (or scientist) with an ass.<= span class=3D"mazi">1253= = ; Mills= tone in Luke Luke 17:1 H= e said to the disciples, "It is impossible that no occasions of stumblin= g should come, but woe to him through whom they come! 17:2 It would be b= etter for him if a millstone were hung around his neck, and he were thro= wn into the sea, rather than that he should cause one of these little on= es to stumble. 17:3 Be careful. If your brother sins against you, rebuke= him. If he repents, forgive him. 17:4 If he sins against you seven time= s in the day, and seven times returns, saying, 'I repent,' you shall for= give him."1257= = ; Mills= tone in Mark Mark 9:38 J= ohn said to him, "Teacher, we saw someone who doesn't follow us casting = out demons in your name; and we forbade him, because he doesn't follow u= s." 9:39 But Jesus said, "Don't forbid him, for there is no one who wil= l do a mighty work in my name, and be able quickly to speak evil of me. = 9:40 For whoever is not against us is on our side. 9:41 For whoever will= give you a cup of water to drink in my name, because you are Christ's, = most certainly I tell you, he will in no way lose his reward. 9:42 Whoev= er will cause one of these little ones who believe in me to stumble, it = would be better for him if he were thrown into the sea with a millstone = hung around his neck. 9:43 If your hand causes you to stumble, cut it of= f. It is better for you to enter into life maimed, rather than having yo= ur two hands to go into Gehenna, into the unquenchable fire, 9:44 'where= their worm doesn't die, and the fire is not quenched.' 1255 = ; Mi= llstone in Matthew Matth= ew 18:1 In that hour the disciples came to Jesus, saying, "Who then is g= reatest in the Kingdom of Heaven?" 18:2 Jesus called a little child to h= imself, and set him in their midst, 18:3 and said, "Most certainly I tel= l you, unless you turn, and become as little children, you will in no wa= y enter into the Kingdom of Heaven. 18:4 Whoever therefore humbles himse= lf as this little child, the same is the greatest in the Kingdom of Heav= en. 18:5 Whoever receives one such little child in my name receives me, = 18:6 but whoever causes one of these little ones who believe in me to st= umble, it would be better for him that a huge millstone should be hung a= round his neck, and that he should be sunk in the depths of the sea.1254 = ; What is lowly &= nbsp; 12:14 Jesus, having found a young donkey, sat o= n it. As it is written, 12:15 "Don't be afraid, daughter of Zion. Behold= , your King comes, sitting on a donkey's colt." 12:16 His disciples didn= 't understand these things at first, but when Jesus was glorified, then = they remembered that these things were written about him, and that they = had done these things to him. Zechariah 9:9 Rejoice greatly, daughter o= f Zion! Shout, daughter of Jerusalem! Behold, your King comes to you! He= is righteous, and having salvation; lowly, and riding on a donkey, even= on a colt, the foal of a donkey.1965
		= Thread	=

		&nb= sp; Relative Learning
		Relative Learning &= nbsp; In real life, this is taking a stand, fol= lowing through and reflecting, but it is important to avoid evil, keep v= arying and not fall into a rut of self-fulfillment.= 25
		&nbs= p; Relative Learning
		Relative Learning &n= bsp; 802 = Practice positive instead of negative behavior= Changing one's attitudes, beliefs and v= alues that reinforce one's criminal behavior. Effective strategie= s should also focus on changing the attitudes, beliefs, and values that = reinforce offenders' criminal behavior. This approach teaches the offend= ers to (1) pay attention to their thoughts and feelings; (2) recognize h= ow those thoughts and feelings lead to negative behavior; (3) use new th= inking to reduce risk; and (4) practice, practice, and practice those ne= w thinking and positive behavioral skills. This is not something that c= an be done in a classroom setting. Offenders must be given daily opport= unities to practice on their own, especially since intensive repetition = is a key to intervention's success. Without it, the approach is nothing= more than a lecture, and will never effectively reduce delinquency.= Dispatches from Juvenile Hall: Fixing a Failing System, by John Aarons,= Lisa Smith, Linda Wagner, Penguin Books, 2009. Page 180. 801<= /p> Astronomy experiments <= i> At Wikipedia, the experiment page gives examples of how the scientific method is applied i= n astronomy. There is also a page listing key astronomy experiments.883 Biology experiments &nbs= p; Wikipedia documents more than 80 biology experiments. T= he experiment pa= ge gives examples of how the scientific method is applied in biology. There is a= lso a page = listing key biology experiments.878 Chemistry experiments = Wikipedia documents 7 chemistry experiments. The experiment page gi= ves examples of how the scientific method is applied in chemistry. There is also= a page lis= ting key chemistry experiments.879 Design of experiments = Wikipedia has more than 150 pages on experimental de= sign.887 Field experiment = Wikipedia: A field experiment applies the scientific method to exper= imentally examine an intervention in the real world (or as many experime= ntalists like to say, naturally-occurring environments) rather than in t= he laboratory. Field experiments, like lab experiments, generally random= ize subjects (or other sampling units) into treatment and control groups= and compare outcomes between these groups. Examples include: Clinical trials of pharmaceuticals are one example of field expe= riments. Economists have used field experiments to analyze discrimin= ation, health care programs, charitable fundraising, education, informat= ion aggregation in markets, and microfinance programs. Engineers often conduct field tests of prototype products to validat= e earlier laboratory tests and to obtain broader feedback. 886 Home experiments = Professor Shakhashiri (?) of the University of Wisconsin chemist= ry department: Add joy and share the fun of scientific experimentatio= n with friends and family members. Safety comes first. Be sure to follow= each instruction carefully. HAVE FUN!894 Psychology experiments &nbs= p; Wikipedia documents 55 psychology experiments. Th= ere is also a page listing key psychology experiments.881 Schiehallion experiment = ; Wikipedia: The Schiehallion experiment was an 18th-cen= tury experiment to determine the mean density of the Earth. ... The expe= riment involved measuring the tiny deflection of a pendulum due to the g= ravitational attraction of a nearby mountain.884 Space science experiments &nbs= p; Wikipedia documents 20 space science experim= ents.880 Tim = Hunkin's experiments = Cool cartoons that will have you experimenting with food, light, sound, = clothes, and a whole lot more!! Hundreds of cartoon experiments from car= toonist, broadcaster and engineer Tim Hunkin.895
		&nb= sp; Work-in-parallel
		Work-in-parallel &nb= sp; Full-fledged giving and taking feed each ot= her. In my experience, they are only loosely coupled, however, by Worki= ng-in-Parallel based on a three-cycle of Aligning our principles, Pursui= ng them, and Taking Stock. ("Common knowledge" sometimes assumes that g= iving and taking are tightly coupled, but that goes counter to some of m= y personal experience.) 1100
		&n= bsp; Scientific method
		Scientific method = We design experiments that link together= , tangle together the two incomplete outlooks of space and time, single = frame and multiple frames, particle and wave, static and dynamic, free a= nd deterministic. This is because each experiment presumes an experimen= ter and thus takes place both within a frame of measurement and beyond i= t. Each experiment includes a hypothesis, an experimental test, and an a= ppraisal of the results. Analogously, in math, given a constraint, we = extend its domain to include a new domain, we stitch them together by pr= esuming continuity, and we relate the two applications by superimposing = them, yielding a more general constraint. In life, we take a stand, fol= low through and reflect. 852<= /p> Physics experiments &nbs= p; Wikipedia documents more than 200 physics experiments. = The experiment p= age gives examples of how the scientific method is applied. There is also a page listing ke= y physics experiments.877 = ; What is easier? &nbs= p; It is hard to forgive somebody, harder than = to tell somebody, get up and walk!Yet it is easier to forgive somebody t= han to let somebody walk who is unable. Jesus plays on this ambiguity so= they could believe or not, as they choose. Matthew 9:5 For which is ea= sier, to say, 'Your sins are forgiven;' or to say, 'Get up, and walk?' 9= :6 But that you may know that the Son of Man has authority on earth to f= orgive sins..." (then he said to the paralytic), "Get up, and take up yo= ur mat, and go up to your house." 1657
		&= nbsp;As you value the little, so you value the big.=
		As you va= lue the little, so you value the big. &nbs= p; The Pharisees do the little matters of justice, but not the bi= g ones. Jesus experiments by sending out his disciples. They are the lit= tle and he is the big.828 = ; As with little, so with much Mark 16:10 He who is faithful in= a very little is faithful also in much. He who is dishonest in a very l= ittle is also dishonest in much. 16:11 If therefore you have not been fa= ithful in the unrighteous mammon, who will commit to your trust the true= riches? 16:12 If you have not been faithful in that which is another's,= who will give you that which is your own?2055 = ; Doing the little things, but not t= he big ones Matthew 23:2= 3 "Woe to you, scribes and Pharisees, hypocrites! For you tithe mint, di= ll, and cumin, and have left undone the weightier matters of the law: ju= stice, mercy, and faith. But you ought to have done these, and not to ha= ve left the other undone. 23:24 You blind guides, who strain out a gnat,= and swallow a camel! 1563 = ; Stay with those who are worthy= Matthew 10:11 Into whatever= city or village you enter, find out who in it is worthy; and stay there= until you go on.1784 = ; The sender experiments by sending<= /a> Matthew 10:16 "Behold, I= send you out as sheep in the midst of wolves. 1788 = ; What is more and less important Matthew 23:23 "Woe to you,= scribes and Pharisees, hypocrites! For you tithe mint, dill, and cumin,= and have left undone the weightier matters of the law: justice, mercy, = and faith. But you ought to have done these, and not to have left the ot= her undone. 23:24 You blind guides, who strain out a gnat, and swallow a= camel!2050
		&nb= sp;Extend the Domain
		Extend the Domain &nbs= p; Consider a constraint such as (2X)(2Y) =3D 2= (X+Y). It may make sense in one domain, such as integers X,Y > 2. If we = hold true to the constraint, then we can extend the domain to see what i= t implies as to how 2X must be defined for X=3D1,0,-1,... We can then = think of the constraint (2X)(2Y) =3D 2*(X+Y) as stitching together = unrelated domains. Such stitching I think allows us, in differential geo= metry, to stitch together open neighborhoods and thus define continuity = for shapes like the torus. 23 = ; Appropriate new ideas &nb= sp; ...cultivating a confident attitude, so = that when you see a beautiful solution, you no longer think, "I could ne= ver have done that", but instead think, "Nice idea! It's similar to ones= I've had. Let's put it to work!" Learn to shamelessly appropriate new i= deas and make them your own. There's nothing wrong with that; the ideas= are not patented. If they are beautiful ideas, you should excitedly ma= ster them and use them as often as you can, and try to stretch them to t= he limit by applying them in novel ways. pg.20, The Art and Craft of= Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1419 = ; Generalizing the scope of a problem The define a function tool= ... is part of a larger idea, the strategy of generalizing the scope of= a problem before attacking it.* pg. 98, The Art and Craft of Problem= Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.= 1642
		= Circumscribe - Consent
		Circumscribe - Consent 183 = Pie Chart Agenda = ; agree quickly on agenda 364 = The 7Ps Framework &nbs= p; plan out a meeting 365 = Visual Agenda &n= bsp; increase interest in a meeting 363
		= Take a stand

		= Extend application
		Extend application = ; 1676 = ; Embracing a role I was at a crossroads. Ready or not, here I was, "Presenting Dr= . Ansell." A "real" doctor. And while I felt like a poseur, a fraud, I d= ecided that despite my insecurity and inexperience, I needed to act as i= f I knew what the hell I was doing. One month into my internship, on the= West Side of Chicago, in a steamy corner of the fourth floor of Fantus = clinic, at the County Hospital. An epiphany. I suppressed a wave of pani= c and shoved my doubts aside. Oh. I got it. I was a "real" doctor now. T= he patients expected no less. "County: Life, Death and Politics at = Chicago's Public Hospital" by David Ansell M.D. Copyright 2011, David An= sell M.D. Published by Academy Chicago Publishers. All Rights Reserved. = Health. Chicago.19341948 = ; Making little adjustments &nb= sp; Fresh Air interview of boxer Sugar Ray Leonard, June 6, 2011:= It's just little pointers. It's like golf =E2=80=94 making those lit= tle adjustments. The same thing occurs in boxing. You make adjustments."= 1900
		&n= bsp;Frequency-and-experience
		Frequency-and-experience &nbs= p; When we don't have all the facts, we estimate probability b= ased on frequency and experience. Frequency is how often an event has oc= curred in the past; experience is what happened during each event. ... t= he more we know about the circumstances of an event whose probability we= are estimating, the more accurate our estimate will be. The Thinker's Toolkit by Morgan D.Jones2150
		= Align
		= Align = 1072 = ; Organize aroun= d the client's perspective Working for Cass McNutt I learned about visibility. I had always been= inclined to work from foundations. But I observed from him that it was = the client relationship that was most important. Therefore it was key th= at the client continuously feel real progress and benefit, even if it wa= s in simple things. And that these benefits were actually quite real and= significant, whereas deeply pursued software initiatives might very oft= en not bear any fruit at all and be completely counterproductive.1046 = Stick to my pri= nciples At the Atzalynas= club I have had one or more computers which I have let the leaders use.= But I have never allowed them to add pirated software. This would frust= rate the leader of the computer club. The club got a few computers, too.= I agreed that they have pirated programs on the club's computers, but n= ot on mine. 967<= /p>
		&nb= sp; My duties

		= ; Hypothesis

		&= nbsp;As you value others, so are you valued.=
		As you value oth= ers, so are you valued. Cont= inuity between ourselves and others... Each test is a test of the tested= , the tester and the test. This is the cross, that man is taught by mak= ing an example out of. Don't judge so you won't be judged - let the expe= riment take place. The experiment should be stark and self-sustaining, n= ot have extra resources.829 = ; Insp= ecting a coin Mark 12:15= ... But he, knowing their hypocrisy, said to them, =C2=B4Why do you tes= t me? Bring me a denarius, that I may see it. 12:16 They brought it.1394 = ; Insp= ecting a fig tree Mark 1= 1:13 Seeing a fig tree afar off having leaves, he came to see if perhaps= he might find anything on it. When he came to it, he found nothing but = leaves, for it was not the season for figs.1393 = ; Are you a hypocrite? = ; Matthew 7:3 Why do you see the speck th= at is in your brother's eye, but don't consider the beam that is in your= own eye? 7:4 Or how will you tell your brother, 'Let me remove the spec= k from your eye;' and behold, the beam is in your own eye? 7:5 You hypoc= rite! First remove the beam out of your own eye, and then you can see cl= early to remove the speck out of your brother's eye. 1475 = ; As you do, so God does to you Mark 11:25 Whenever you stand p= raying, forgive, if you have anything against anyone; so that your Fathe= r, who is in heaven, may also forgive you your transgressions. 11:26 But= if you do not forgive, neither will your Father in heaven forgive your = transgressions."2054 = ; Calling out hypocrisy = ; Each test is a test of the tested, but = also a test of the tester and their test. Mark 12:14 ... "...Is it lawfu= l to pay taxes to Caesar, or not? 12:15 Shall we give, or shall we not g= ive?" But he, knowing their hypocrisy, said to them, "Why do you test me= ? Bring me a denarius, that I may see it." 1398 = ; Cultures experiment with each othe= r Matthew 10:17 But bewa= re of men: for they will deliver you up to councils, and in their synago= gues they will scourge you. 1790 = ; Don't judge and you won't be judged If you don't judge, then y= ou are perfect, as God is perfect, and you do as God, and so Jesus won't= judge you, for God does not judge, but Jesus judges, yet he does not an= d need not judge those who do as God does. Luke 6:36 Therefore be merci= ful, even as your Father is also merciful. 6:37 Don't judge, and you won= 't be judged. Don't condemn, and you won't be condemned. Set free, and y= ou will be set free.1353 = ; Having the least bit&nb= sp; Matthew 17:20 He said to them, "Becau= se of your unbelief. For most certainly I tell you, if you have faith as= a grain of mustard seed, you will tell this mountain, 'Move from here t= o there,' and it will move; and nothing will be impossible for you. 17:2= 1 But this kind doesn't go out except by prayer and fasting."2047 = ; How we should treat Jesus Jesus treats us as equals, as we= treat him. Matthew 10:32 Everyone therefore who confesses me before me= n, him I will also confess before my Father who is in heaven. 10:33 But = whoever denies me before men, him I will also deny before my Father who = is in heaven. = 1811 = ; How will you be judged?&n= bsp; Matthew 7:1 "Don't judge, so that yo= u won't be judged. 7:2 For with whatever judgment you judge, you will be= judged; and with whatever measure you measure, it will be measured to y= ou. 1467 = ; If you forgive, then God forgives you= , and if you don't, then God won't forgive you &= nbsp; Matthew 6:14 "For if you forgive men their trespasses= , your heavenly Father will also forgive you. 6:15 But if you don't forg= ive men their trespasses, neither will your Father forgive your trespass= es. 1433 = ; Let a social experiment be stark Matthew 10:16 "Behold, I = send you out as sheep in the midst of wolves. Therefore be wise as serpe= nts, and harmless as doves. 1789 = ; Let the bad and the good grow dist= inct Matthew 13:24 He se= t another parable before them, saying, "The Kingdom of Heaven is like a = man who sowed good seed in his field, 13:25 but while people slept, his = enemy came and sowed darnel weeds also among the wheat, and went away. 1= 3:26 But when the blade sprang up and brought forth fruit, then the darn= el weeds appeared also. 13:27 The servants of the householder came and s= aid to him, 'Sir, didn't you sow good seed in your field? Where did this= darnel come from?' 13:28 "He said to them, 'An enemy has done this.' "= The servants asked him, 'Do you want us to go and gather them up?' 13:2= 9 "But he said, 'No, lest perhaps while you gather up the darnel weeds, = you root up the wheat with them. 13:30 Let both grow together until the = harvest, and in the harvest time I will tell the reapers, "First, gather= up the darnel weeds, and bind them in bundles to burn them; but gather = the wheat into my barn."'"1979 = ; Let the tester be tested by his tes= ting Every test is also = a test of the tester, of their values and their intent. Jesus lets John= be tested by his testing. Matthew 11:2 Now when John heard in the pris= on the works of Christ, he sent two of his disciples 11:3 and said to hi= m, "Are you he who comes, or should we look for another?" 11:4 Jesus ans= wered them, "Go and tell John the things which you hear and see: 11:5 th= e blind receive their sight, the lame walk, the lepers are cleansed, the= deaf hear, the dead are raised up, and the poor have good news preached= to them. 11:6 Blessed is he who finds no occasion for stumbling in me."= 1826 = ; Relative comparison&nbs= p; "Twice as much" Matthew 23:15 Woe to y= ou, scribes and Pharisees, hypocrites! For you travel around by sea and = land to make one proselyte; and when he becomes one, you make him twice = as much of a son of Gehenna as yourselves. 1570 = ; Remove the beam from your own eye<= /span> Luke 6:41 Why do you see the= speck of chaff that is in your brother's eye, but don't consider the be= am that is in your own eye? 6:42 Or how can you tell your brother, 'Brot= her, let me remove the speck of chaff that is in your eye,' when you you= rself don't see the beam that is in your own eye? You hypocrite! First r= emove the beam from your own eye, and then you can see clearly to remove= the speck of chaff that is in your brother's eye. = 1358 = ; What is one worthy of?&n= bsp; If we are laborers, then we should n= ot have to depend on anything but our labor. Matthew 10:9 Don't take any= gold, nor silver, nor brass in your money belts. 10:10 Take no bag for = your journey, neither two coats, nor shoes, nor staff: for the laborer i= s worthy of his food. 1782 = ; What should we depend on? If we are laborers, then we shoul= d not have to depend on anything but our labor. Matthew 10:9 Don't take = any gold, nor silver, nor brass in your money belts. 10:10 Take no bag f= or your journey, neither two coats, nor shoes, nor staff: for the labore= r is worthy of his food. 1781 = ; Who empathizes with whom? Matthew 23:29 "Woe to you, scrib= es and Pharisees, hypocrites! For you build the tombs of the prophets, a= nd decorate the tombs of the righteous, 23:30 and say, 'If we had lived = in the days of our fathers, we wouldn't have been partakers with them in= the blood of the prophets.' 23:31 Therefore you testify to yourselves t= hat you are children of those who killed the prophets. 23:32 Fill up, th= en, the measure of your fathers. 1573 = ; Who is more valuable&nbs= p; Matthew 6:25 Therefore I tell you, don= 't be anxious for your life: what you will eat, or what you will drink; = nor yet for your body, what you will wear. Isn't life more than food, an= d the body more than clothing? 6:26 See the birds of the sky, that they = don't sow, neither do they reap, nor gather into barns. Your heavenly Fa= ther feeds them. Aren't you of much more value than they? 1452 = ; Who is our enemy &= nbsp; Matthew 10:21 "Brother will deliver up br= other to death, and the father his child. Children will rise up against = parents, and cause them to be put to death.1794 = ; Who is the greatest among us?<= /span> Matthew 23:11 But he who is = greatest among you will be your servant.1556 = ; Your measure will be used to measure f= or you Luke 6:38 "Give, = and it will be given to you: good measure, pressed down, shaken together= , and running over, will be given to you. For with the same measure you = measure it will be measured back to you."1354
		&nb= sp;Continuity
		<= p>Continuity = As in Polya's discussion of Descartes' universal method, we can = apply continuity to consider the implications of a constraint or an equa= tion. Polya asks about an iron ball floating in mercury, if we pour wate= r on it, will the ball sink down or float up or stay the same? He answer= s this by first imagining that the water has no specific gravity (like a= vacuum) and then increasing it continuously until it approaches and sur= passes that of iron. Varying the variable is putting the constraint to t= he test, presuming that there is a solution point, just as we do and can= in physical reality. At what points will the model break or hold? Conti= nuity is the thread that we sew. 24 = ; Stretching things &= nbsp; Three women check into a motel room which ad= vertises a rate of $27 per night. They each give $10 to the porter, and = ask her to bring back 3 dollar bills. The porter returns to the desk, wh= ere she learns that the room is actually only $25 per night. She gives $= 25 to the motel desk clerk, returns to the room, and gives the guests ba= ck each one dollar, deciding not to tell them about the actual rate. Th= us the porter has pocketed $2, while each guest spent 10-1 =3D $9, a tot= al of 2 + 3 x 9 =3D $29. What happened to the other dollar? ... try stre= tching things a bit: what if the actual room rate had been $0? Then the = porter would pocket $27 and the guests would spend $27, which adds up to= $54! pg. 22, 102, The Art and Craft of Problem Solving, Paul Zeitz,= 1999, John Wiley & Sons, Inc.1649 = ; Topologically equivalent = ... the original problem was almost i= mmediately equivalent to the modified easier version. That happened for= a mathematical reason: the problem was a "topological" one. This "tric= k" of mutating a diagram into a "topologically equivalent" one is well w= orth remembering. pg.19, The Art and Craft of Problem Solving, Paul = Zeitz, 1999, John Wiley & Sons, Inc.1418
		= Perfect - Explicitly Validate
	Perfect - Explicitl= y Validate 182 = Do, Redo & Undo = make mistakeproof 361 = Wizard of Oz &nb= sp; test the completeness of a design <= a href=3D"http://t.co/ju1KSid#362">362
		= Follow through
		Follow through &= nbsp; Following through. Live out fully the consequences of = my principles.46= Allow for the unexpected Conv= ersing with: goodness 579 = Find out for myself = Conversing with: limits set by constraints Some= times I'm able to observe and learn first hand rather than through books= and schools. In Lithuania, in 1988 and 1989, I was able to observe up = close Lithuania's reform movement which achieved independence from the S= oviet Union. In 1980, I visited Lithuania as a 15 year old, and was abl= e to talk to relatives of various backgrounds. I walked the streets of = Vilnius and saw how different buildings that I recognized from Saturday = school all fit together spatially with regard to each other. I traveled = through Europe in the summer of 1989 and saw with my own eyes the plaza = of Venice which Marco Polo departed from. From 1998 to 2010, I sought c= lients for Minciu Sodas and gained first hand experience of sorts in bus= iness.687 = Get out of my comfort zone = ; Conversing with: self-check At times, I = made an effort to go outside my comfort zone, especially to reach out to= those who are marginalized. I chose to live with my grandmother in her= neighborhood, Marquette Park, which had become primarily Black American= . I would practice engaging the youth hanging out on the corner. I ven= tured into the Black American community to join a Catholic church there,= St. Benedict the African. In 2006, I stayed for three weeks in Nablus,= Israeli-occupied Palestine, and taught nonviolence there.704 = Keep checking = Conversing with: goodness Over the years, when I have= a chance, I ask priests, how can I participate in the Catholic Church t= o pursue Jesus's vision of the Kingdom of Heaven? I keep checking and s= o I feel I can tentatively conclude that nobody else is interested.721 = Test out assumptions = ; Conversing with: understanding Is it true that= everyone can be a genius? As a tutor for mentally challenged adults I = realized that there are some objective challenges to learning yet everyb= ody may have special gifts, some extra scraps of cortex for individual t= alents. 686= Live out my ideas Conversing = with: self-check 561 = Apply my discoveries = ; Conversing with: significance of knowledge I h= ave not simply wanted to know everything, but also to apply that knowled= ge usefully. This has shaped the questions that I've chosen to take up.= In 1995, encouraged by Joe Damal, I set upon applying my philosophy pr= actically. I addressed situations where we believe one thing in our hea= rt, and the world teaches us differently, and we feel riled. As I meant= to lead and influence people, I sought for a way to pray to God that I = might listen to him. With the good will exercises, I found ways to capt= ure and express people's intution. In Lithuania, I needed a way to make= a living, so I started up Minciu Sodas, a laboratory for independent th= inkers, where I tried to make use of conceptual structures to structure = our online space and activity. In fostering a culture of truth, I am sh= aring, documenting and structuring ways of figuring things out. My prac= tical impulse has thus focused me on questions that engage what's at the= heart of my personal life.775 = ; Assume self-consistency &= nbsp; My study of narration, and Lithuanian fol= k tales in particular, yielded an interesting result, that the tone of v= oice (forcing, commanding, explaining or caring) at the the beginning of= a story was constant, as well as at the end of the story, but the two t= ones of voice were different, which meant that something noteworthy happ= ened in between. This theory was very fruitful because in each unit of = narrative (where tension was created and relaxed) I could consider the t= one of voice. Sometimes it was clear, and in the cases where it was note= , I could infer it from the constancy. For example, I could deduce that= crying was a form of commanding. Thus I built up a catalog of ways the= tones of voice manifested themselves and then test that catalog to see = if it indeed held true. I could build up such catalogs for various cultu= res and genres and even write computer programs to make such inferences,= tests and deductions.1666 = Be naive = ; Conversing with: my assumptions As I studied, I supposed t= hat the more I learned in school, the more kinds of jobs I could do and = find when the time came. I thought that math was practical and that I w= ould find many ways to apply a Ph.D. Later, as I took loans and risks t= o start my lab, Minciu Sodas, I thought that I could always find a regul= ar job if I failed. I thought so, accepting tenants of my environment. = Now, I see differently, but my wholehearted naivete then, my lack of do= ubt then helps me as I now reflect and conclude.695 = Real life exercise &= nbsp; Conversing with: response I developed "good will= exercises" by which I and others assimilated "truths of the heart" thro= ugh real life exercises, not just hypothetically.635
		= Drive to logical conclusion
		Drive to logical conclusion<= /span> 1677 = ; Destroying a p= rototype Fresh Air inter= view of Michael Hiltzik about the Hoover Dam, June 8, 2010: "The fede= ral government created two labs for the concrete to be tested; they enli= sted the University of California [and] the University of Colorado to te= st other formulations. And they even built a test dam in a California ri= ver valley =E2=80=94 they built it so it could be destroyed, so they cou= ld see what kinds of stresses and strains this dam would undergo."1877<= /p> = ; Black Hole as a Natural Laboratory&n= bsp; "Seeing a star get ripped apart b= y a black hole from almost 4 billion light-years away, that's a remarkab= le thing," says astronomer Dave Goldberg, co-author of A User's Guide to= the Universe: Surviving the Perils of Black Holes, Time Paradoxes, and = Quantum Uncertainty, who was not part of the studies. "We want to study = black holes because they are tremendous natural laboratories for what ha= ppens to matter at very high energies." "Rare Cosmic Blast Traced to= Black Hole" by Dan Vergano, USA TODAY, June 16, 20111950 = ; Practice with sparring partners similar to one's opponent Fresh Air interview of boxer = Sugar Ray Leonard, June 6, 2011: Dundee, Morton and Trainer were resp= onsible for managing Leonard's fights and for selecting sparring partner= s who were similar in height, speed and power to the opponents Leonard w= as about to face. These sparring partners worked with Leonard for weeks = to prepare him for a match. ... To prepare, Leonard chose a sparring par= tner who idolized Duran. "He fought like Roberto Duran =E2=80=94 he used= his head and dirty tactics and what-have-you," he says. "And it made me= more aware, from a defensive standpoint, so when I faced Duran, I was p= repared."1= 889 = ; Practicing as a child <= i> Fresh Air interview: When J.J. Abrams was 13, his grandfather = gave him a Super 8 camera to shoot homemade movies. He started off makin= g horror films =E2=80=94 and killing off all of his relatives. "I would = take anyone who was available =E2=80=94 my sister, my mother, any friend= s =E2=80=94 and I would kill them in crazy ways," he tells Fresh Air's T= erry Gross. "We would do makeup effects. ... I would make blood and ask = my mom if I could borrow her makeup =E2=80=94 which didn't trouble her b= ecause she knew I was going to basically just kill someone with it. It w= as all ridiculous." Abrams went onto a successful film and television ca= reer, with credits including Alias, Lost, Fringe, Mission: Impossible II= I, Star Trek (2009) and Cloverfield.1868 Natural experiment <= /i> Wikipedia: A natural experiment is an observational study in whic= h the assignment of treatments to subjects has been haphazard: That is, = the assignment of treatments has been made "by nature", but not by exper= imenters. Thus, a natural experiment is not a controlled experiment. Nat= ural experiments are most useful when there has been a clearly defined a= nd large change in the treatment (or exposure) to a clearly defined subp= opulation, so that changes in responses may be plausibly attributed to t= he change in treatments (or exposure). Natural experiments are considere= d for study designs whenever controlled experimentation is difficult, su= ch as in many problems in epidemiology and economics.885
		&n= bsp;Hypothesis Testing
	<= /td>	Hypothesis Testing Hypothesis testing is pri= marily about analyzing individual hypotheses and so I list it here. Seco= ndarily, it is also related to ranking. ...a hypothesis helps to nar= row the scope of our thinking. It thus provides a framework - a mind-set= - within which to analyze and interpret information ... it can have dra= matically negative effects if it leads to satisficing - to focusing on o= ne hypothesis to the exclusion of alternatives. ... [Hypothesis testing= ranks] competing hypotheses by the degree to which relevant evidence is= inconsistent. The favored hypothesis has the least inconsistent evidenc= e, not the one with the most consistent evidence. ... Consistent evidenc= e proves nothing, because evidence can, and usually does, support more t= han one hypothesis. ... Only inconsistent evidence has any real value in= determining the credibility of a hypothesis and in ranking hypotheses b= y the degree of their credibility. Construct a matrix. Label the first column "Evidence". Label the= other columns to the right "Hypotheses", and enter descriptors of the h= ypotheses atop the columns. The hypotheses must be mutually exclusive ..= .. need not be collectly exhaustive. List "significant" evidence down the left-hand margin, including "ab= sent" evidence. ... Include the absence of evidence one would expect if = the hypothesis were true as well as the absence of evidence one would ex= pect if it were untrue. ... Ask "[Public health professor Dr. Russell] = Alexander's question": What evidence not included in the matrix would re= fute one or more of the hypotheses? Working across the matrix, test the evidence for consistency [or inc= onsistency] with each hypothesis, one item of evidence at a time. Refine the matrix. Add or reword hypotheses. Add "significant" evide= nce relevant to any new or reworded hypothesis and test it against all h= ypotheses. Delete, but keep a record of, evidence that is consistent wit= h all of the hypotheses. It has no diagnostic value. Working downward, evaluate each hypothesis. Rank the hypotheses by the strength of inconsistent evidence. Perform a sanity check. the cardinal strength of hypothesis testing lies in its function, which = is to disprove, not prove, hypotheses. Hypothesis testing mirrors the PR= Os, CONs, and FIXes technique ... in problem solving, inconsistent evide= nce plays the key role during the analytic phase while consistent eviden= ce plays the key role in the summation and presentation phase. The Thinker's Toolkit by Morgan D.Jones1774
		= Pursue
		Pursue 1073 = Not hold back s= o as not to have regrets = I was very much in love with a young lady from Lithuania, a wonderful p= erson. She finally agreed to visit me in the United States after years o= f hesitation. I didn't have much savings but I decided that I would borr= ow everything that I might need from credit cards so that I could take c= are of her during her stay and she would have a good time. Ultimately, s= he married another man who she had loved for many years, but I was very = glad that I did not think twice about doing all I could for her and to b= e with her and that money was not an issue. 963<= /p> = ; Try to collect= what I am due I am due = a rather large refund in Lithuania for value added tax which I have paid= as a business, for my income comes from outside of the country, but I h= ave accumulated expenses within the country. I had to request permission= for a refund. Then they informed me that they would need to do a comple= te audit of all of the books for my business. Which is to say, not just = the documents relevant to the value added tax, but absolutely everything= . I told them that it would take me hundreds of hours to prepare. They s= aid that they would give me plenty of time, six weeks.1014
		&nb= sp; Practice

		= ; Experimental design
		Experimental design Wikipedia: In general usage, = design of experiments (DOE) or experimental design is the design of any = information-gathering exercises where variation is present, whether unde= r the full control of the experimenter or not.<= a href=3D"http://t.co/ju1KSid#914">914 = Design experiment= s to rule models in or out Edward Cherlin, 2011.04.24: But that is not enough. We must also t= hink of other possible models, and design experiments to rule them in or= out, and we must think of every possible experiment that could invalida= te our model. This is the great service that Einstein performed for Quan= tum Mechanics, because he disliked it so much. Every time he thought he = had found a contradiction or something nonsensical in the math, the lab = boys verified that it really worked that way in experiments. 912<= /p>
		&= nbsp;Good word: As you value the fruit, so you valu= e the tree.
		Good word: As you value the fruit, so you value the tree. = To deny this is the "sin against the Hol= y spirit". Jesus denounces those who do not receive him and his word, wh= o do not repent. Repentance is the fruit, the person is the tree.827 = ; How can I show my authority? Jesus' miracles manifest his au= thority: Judge the tree by the fruit. Matthew 9:5 For which is easier, = to say, 'Your sins are forgiven;' or to say, 'Get up, and walk?' 9:6 But= that you may know that the Son of Man has authority on earth to forgive= sins..." (then he said to the paralytic), "Get up, and take up your mat= , and go up to your house." 1659 = ; Judg= e the tree by the fruit = Mark 11:14 Jesus told it, "May no one ever eat fruit from you again!" an= d his disciples heard it.1395 = ; Acknowledging faith&nbs= p; Matthew 15:25 But she came and worship= ed him, saying, "Lord, help me." 15:26 But he answered, "It is not appro= priate to take the children's bread and throw it to the dogs." 15:27 But= she said, "Yes, Lord, but even the dogs eat the crumbs which fall from = their masters' table." 15:28 Then Jesus answered her, "Woman, great is y= our faith! Be it done to you even as you desire." And her daughter was h= ealed from that hour.1992 = ; Are works truly good?&nb= sp; Matthew 7:22 Many will tell me in tha= t day, 'Lord, Lord, didn't we prophesy in your name, in your name cast o= ut demons, and in your name do many mighty works?' 7:23 Then I will tell= them, 'I never knew you. Depart from me, you who work iniquity.' 1494 = ; Are you making people better?<= /span> Matthew 23:15 Woe to you, sc= ribes and Pharisees, hypocrites! For you travel around by sea and land t= o make one proselyte; and when he becomes one, you make him twice as muc= h of a son of Gehenna as yourselves. 1569 = ; Childhood can't be presumed, but must= be demonstrated Jesus disti= nguishes between the ethnic children and the spiritual children of the J= ewish patriarchs. Spiritual childhood is perhaps the point of being "bo= rn again". Thus all people are inherently equal. Matthew 8:11 I tell yo= u that many will come from the east and the west, and will sit down with= Abraham, Isaac, and Jacob in the Kingdom of Heaven, 8:12 but the childr= en of the Kingdom will be thrown out into the outer darkness. There will= be weeping and gnashing of teeth.1608 = ; Could it be better not to be born?= Matthew 26:24 The Son o= f Man goes, even as it is written of him, but woe to that man through wh= om the Son of Man is betrayed! It would be better for that man if he had= not been born.1350 = ; Denouncing &= nbsp; Why does Jesus denounce the cities? Perhaps the= y are free to repent, perhaps others will learn from them, and perhaps h= e is confirming God's will. Matthew 11:20 Then he began to denounce the= cities in which most of his mighty works had been done, because they di= dn't repent. 11:21 "Woe to you, Chorazin! Woe to you, Bethsaida! For if = the mighty works had been done in Tyre and Sidon which were done in you,= they would have repented long ago in sackcloth and ashes. 11:22 But I t= ell you, it will be more tolerable for Tyre and Sidon on the day of judg= ment than for you. 11:23 You, Capernaum, who are exalted to heaven, you = will go down to Hades. For if the mighty works had been done in Sodom wh= ich were done in you, it would have remained until this day. 11:24 But I= tell you that it will be more tolerable for the land of Sodom, on the d= ay of judgment, than for you." = 1908 = ; Distinguish between those he tormen= ts and those he heals Ma= tthew 8:28 When he came to the other side, into the country of the Gerge= senes, two people possessed by demons met him there, coming out of the t= ombs, exceedingly fierce, so that nobody could pass that way. 8:29 Behol= d, they cried out, saying, "What do we have to do with you, Jesus, Son o= f God? Have you come here to torment us before the time?"1623 = ; Do they make life easier or harder?= Matthew 23:4 For they b= ind heavy burdens that are grievous to be borne, and lay them on men's s= houlders; but they themselves will not lift a finger to help them. 1549 = = ; Does one take up their cross and f= ollow Jesus Matthew 10:3= 8 He who doesn't take his cross and follow after me, isn't worthy of me.= 1815 = ; Judge by the outcome that you hear = and see Matthew 11:2 Now= when John heard in the prison the works of Christ, he sent two of his d= isciples 11:3 and said to him, "Are you he who comes, or should we look = for another?" 11:4 Jesus answered them, "Go and tell John the things whi= ch you hear and see: 11:5 the blind receive their sight, the lame walk, = the lepers are cleansed, the deaf hear, the dead are raised up, and the = poor have good news preached to them. 11:6 Blessed is he who finds no oc= casion for stumbling in me." 1823 = ; No good tree brings forth rotten fruit= Luke 6:43 For there is = no good tree that brings forth rotten fruit; nor again a rotten tree tha= t brings forth good fruit. 6:44 For each tree is known by its own fruit.= For people don't gather figs from thorns, nor do they gather grapes fro= m a bramble bush. 1359 = ; The tree is known by the fruit.= Matthew 7:15 "Beware of fal= se prophets, who come to you in sheep's clothing, but inwardly are raven= ing wolves. 7:16 By their fruits you will know them. Do you gather grap= es from thorns, or figs from thistles? 7:17 Even so, every good tree pro= duces good fruit; but the corrupt tree produces evil fruit. 7:18 A good = tree can't produce evil fruit, neither can a corrupt tree produce good f= ruit. 7:19 Every tree that doesn't grow good fruit is cut down, and thro= wn into the fire. 7:20 Therefore by their fruits you will know them.1489 = ; What will happen to the good and t= he bad Matthew 13:37 He = answered them, "He who sows the good seed is the Son of Man, 13:38 the f= ield is the world; and the good seed, these are the children of the King= dom; and the darnel weeds are the children of the evil one. 13:39 The en= emy who sowed them is the devil. The harvest is the end of the age, and = the reapers are angels. 13:40 As therefore the darnel weeds are gathered= up and burned with fire; so will it be at the end of this age. 13:41 Th= e Son of Man will send out his angels, and they will gather out of his K= ingdom all things that cause stumbling, and those who do iniquity, 13:42= and will cast them into the furnace of fire. There will be weeping and = the gnashing of teeth. 13:43 Then the righteous will shine forth like th= e sun in the Kingdom of their Father. He who has ears to hear, let him h= ear.1984 = ; What will happen to the good and t= he bad Matthew 13:47 "Ag= ain, the Kingdom of Heaven is like a dragnet, that was cast into the sea= , and gathered some fish of every kind, 13:48 which, when it was filled,= they drew up on the beach. They sat down, and gathered the good into co= ntainers, but the bad they threw away. 13:49 So will it be in the end of= the world. The angels will come forth, and separate the wicked from amo= ng the righteous, 13:50 and will cast them into the furnace of fire. The= re will be the weeping and the gnashing of teeth." = 1988 = ; Whether they succeed&nb= sp; Matthew 17:19 Then the disciples came= to Jesus privately, and said, "Why weren't we able to cast it out?" 17:= 20 He said to them, "Because of your unbelief. For most certainly I tell= you, if you have faith as a grain of mustard seed, you will tell this m= ountain, 'Move from here to there,' and it will move; and nothing will b= e impossible for you. 17:21 But this kind doesn't go out except by praye= r and fasting."2045 = ; Whether to prepare what to say= Matthew 10:19 But when they= deliver you up, don't be anxious how or what you will say, for it will = be given you in that hour what you will say.1792 = ; Who is the cause of the result?= Matthew 6:28 Why are you an= xious about clothing? Consider the lilies of the field, how they grow. T= hey don't toil, neither do they spin, 6:29 yet I tell you that even Solo= mon in all his glory was not dressed like one of these. 6:30 But if God = so clothes the grass of the field, which today exists, and tomorrow is t= hrown into the oven, won't he much more clothe you, you of little faith?= 1456 = ; Who is worthy? &nb= sp; Matthew 10:11 Into whatever city or village= you enter, find out who in it is worthy; and stay there until you go on= .1783 = ; Who speaks through whom= Matthew 10:19 But when they delive= r you up, don't be anxious how or what you will say, for it will be give= n you in that hour what you will say. 10:20 For it is not you who speak,= but the Spirit of your Father who speaks in you. <= a href=3D"http://t.co/ju1KSid#1793">1793 = ; Whose judgment brings out whose te= stimony Matthew 10:18 Ye= s, and you will be brought before governors and kings for my sake, for a= testimony to them and to the nations. 1791
		&nb= sp;Self-superimposed sequence
		Self-superimposed sequence We can formulate what we have = learned in general. We do this by considering a local constraint on val= ues as a recurrence relation (on values a1, a2, ..., aN) and then superi= mposing the resulting sequence upon itself, as with a generating functio= n, yielding a global relationship of the function with itself. If the mo= del holds, then it can be tested further. This automata is the hand tha= t makes the stitch. (Recurrence relation as an automata, auto-associativ= e memory of neurons as in Jeff Hawkins' "On Intelligence", generating fu= nction, telescoping tool, shift operator) 74 &= nbsp; Auto associative memory of neurons Jeff Hawkins discusses auto-asso= ciative memory of neurons in his book "On Intelligence", where cortical = columns use time-delay to relate patterns to themselves. 79 = ; Be on the lookout for new ideas Always be on the lookout for n= ew ideas. Each new problem that you encounter should be analyzed for its= "novel idea" content. pg.20, The Art and Craft of Problem Solving, = Paul Zeitz, 1999, John Wiley & Sons, Inc.1420 = ; Define a function &= nbsp; The define a function tool ... is part of a = larger idea, the strategy of generalizing the scope of a problem before = attacking it. pg. 98, The Art and Craft of Problem Solving, Paul Zei= tz, 1999, John Wiley & Sons, Inc.1641 &= nbsp; Generating function &= nbsp; 77 = ; Restate = ; It pays to reread a problem several times. As you ret= hink classification, hypothesis and conclusion, ask yourself if you can = restate what you have already formulated. For example, it may seem that= the hypothesis is really trivial, and you just have to repeat it verbat= im from the statement of the problem. But if you try to restate it, you= may discover new information. Sometimes just reformulating hypothesis a= nd conclusion with new notation helps ... Normally, one reads a problem= silently. But for many people, reciting the sequence out loud is enough= of a restatement to inspire the correct solution (as long as a number s= uch as "1211" is read "one-two-one-one"...) pg.30, The Art and Craft= of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1427 &= nbsp; Telescoping tool &nbs= p; 78
		= Reevaluate - Implicitly Validate=
		Reevaluate - Imp= licitly Validate 181 = How-Now-Wow Matrix &nb= sp; identify what is both new and achievable 356 = NUF Test &= nbsp;reality check for ideas 360 = Pre-Mortem = ; be upfront about risks 357 = Start, Stop, Continue = reevaluate activities 359 = SWOT Analysis &n= bsp; gauge and shape possibilities of success 358
		= Reflect
		<= p>Reflect = Reflecting. Allow for mistakes and solutions, recognize them and mak= e good of them.4= 7 = Accept feedback= from failure I was work= ing to promote an import export standard through the Infrared Data Assoc= iation. After a difficult start there was a meeting where we had a good = chance of making it happen. However, as Rob Lockhart explained to me aft= erwards, I oversold, I tried too hard, I was too vocal and aggressive, a= nd members backed away, and then afterwards the chance was gone for the = whole endeavor. So that is where I learned what it means to oversell. Ye= t in my mind I felt that if that's what it all amounted to, then it was = not a very important matter, and I would not fret that.971 = ; Appreciating that I am happy&n= bsp; As a child I realized that I was ver= y happy, I was very blessed, and as far as I could see, I would always b= e happy, for certainly I had the means to be. I had a mother and a fath= er, wise and loving. We lived in a wonderful time and place, the utopia= of the Californian suburbs of the 1970s, where for miles and miles arou= nd all of the people lived more or less the same, with their needs met a= nd each family having a little something more, and people living ever mo= re comfortably in a society that was ever more just. I had a brilliant = mind that, as far as I could tell, was limitless in its potential. I wa= s a very good child, able to keep myself safe and busy, keen to do the r= ight thing, as if I had a good seed and it could not be otherwise. I al= so had enormous will, an exacting conscience, and a fierce ambition to a= pply myself, especially my mind. I would always have people who cared a= bout me. I appreciated the many aspects of my happiness and, consequentl= y, I could consider, were they my doing?1298 = ; Appreciating that I could have been b= orn anybody As a child, I re= alized that I was profoundly happy, but that it was not of my own merits= . I could have been born in Cambodia, defenseless and left to die or be= killed. Therefore I thought that my happiness, gifts and talents were = not meant simply to serve me, to keep me happy, but rather, to serve abs= olutely everybody, for I could have been anybody. How could I serve us = all? What would others want me to do?1300 = ; Critically reviewing my life&n= bsp; In 2000 or so, I critically reviewed= my life, all my weaknesses which I perceived, much like Ben Franklin di= d, as he notes in autobiography, which my brother alerted me to. I foun= d eight areas in my personal life where I wanted to improve myself. 1920 = ; Noticin= g patterns As I write up my = ways of figuring things out that I've associated with the various rooms = in the House of Knowledge, there seem to be two groups for each room. I= 've noticed a pattern. And how the groups relate, for example, the purp= ose of a structure (which may have no subject to experience it) vs. the = purpose of my circumstances (which have a subject who lives them). I wo= nder if that is true, in general, and if that relates to the truths of t= he heart and the world. After writing out some of these examples in a di= agram, I wonder whether these are two viewpoints on the same way, and wh= ether both viewpoints are necessary aspects of each way of figuring thin= gs out, so that they are both in play in each way, to a greater or lesse= r extent, creating a tension, as with question and answer, or theory and= practice, that is essential to every way, and that here draws on an int= ernal structure (of the way of figuring things out) that is externalized= .1303 = ; Take to heart an exception to a rule<= /span> I had noted four tests to di= stinguish truths of the heart from truths of the world. The most import= ant test was that the person who is riled regarding a subject confuses t= he truth of the heart and of the world. I tried to apply these tests as= carefully and openmindedly as possible to make sure that they held true= and I was not biasing the results. In developing a good will exercise = with Annette Robinson about an issue that she cared about, it happened t= hat what she thought and felt was the truth of the heart, what she kept = coming back to, was indeed the truth of the heart as determined by the o= ther three tests. This gave me pause to think. Later, I came across a = few other such cases. After developing some forty exercises, I realized= that I should be focused primarily on feelings of peace rather than wha= t made people riled, and so my good will exercises were not grounded on = the right foundation. Subsequently, I realized that this particular tes= t compared with the other three tests may simply indicate whether a pers= on was confused or not regarding the truth of the heart. If they were c= onfused, then their frustration would continue to build. If they were n= o longer confused, then their frustration was dissipating. So it was ac= tually more useful as an indication of their state of mind rather than w= hether the truth itself was of the heart or of the world. The other thr= ee tests could account for that.1665 = ; What is fruitful is positive&n= bsp; Sometimes, as my debts grew, I would= wonder if I should have foresworn from ever going into debt. But time = and again I realized that the pressure of my debts kept me from sitting = still, from stagnating, and forced me to be enormously creative in ways = that I probably would not have been otherwise. I realized that it was g= ood, just as negative numbers are good, because they open up more possib= ilities.1108 Conversing with: life Convers= ing with: life Conversing with: life541 = Counterbalance one's personal feelings= Conversing with: fairness In= developing good will exercises with people, they were generally riled b= y a surface topic at which they could only look at one way. If the topi= c made them feel bad, then I would ask them, why? and what would make th= em feel even worse? That would open up possibility inside of them for me= to ask, what would make them feel good? and even better than that? I w= ould contrast the four answers so they were as intense and comparable as= possible, and then compare them, what did they all have in common, yiel= ding the deep issue.659 = Good deed &nbs= p; Conversing with: justice Lord Baden-Powell taught scouts = to do a good deed every day. As a child, I took this seriously. Later,= I appreciated the opportunity to do good. This concept helped me to se= e the dynamics of good, the way that it worked, its significance and adv= antages, not yielding return directly, and yet allowing for good things = to happen to me as well as others, and importantly, fostering my charact= er.716 = Learning from real life activity Conversing with: life After spendi= ng a year developing good will exercises, and another year conducting th= em, I came to understand that the person who is riled is wrong and confu= ses the truth of the world for the truth of the heart. I realized that = people weren't keen to do such exercises. By doing them, I was focusing= on what riled people, whereas I should be focusing on peace, as Jesus g= reeted in peace. In organizing Minciu Sodas, I learned that people don'= t want to dedicate themselves to a culture of independent thinkers.602 = Live independently &= nbsp; Conversing with: life When I went to elementary = school it was understood that I was best to address any troubles at scho= ol by myself, without involving my parents or teachers. I felt this way= especially because I was younger than the other children as I had skipp= ed kindergarten. During recess, I would venture out far into the yard, = away from the teachers. Every so often, a troubled child would come and= threaten me. Then I would ask God to save me. And always, some strong= er child would come and protect me. When I was deciding what university= to go to, I thought that it would be best to live away from home becaus= e I was very good and obedient and respected my parents' wisdom and expe= rience, and I thought that I would best develop my own decision making i= f I lived independently. Looking back, I suppose that I learned the mos= t from the many conversations that I had with my roommates.705 = Object to the existing system ever so = slightly Conversing with: justice= In the course of my usual activities, I address injustices that I n= otice, even though it may get me into trouble. I reported election viola= tions in Chicago. When I won a Knight News Challenge award, I spoke up a= bout the need to address "ethnic cleansing" in Chicago. I smuggled book= s as I traveled. I poured out alcohol at events where I felt people wer= e pressured to drink. I would walk across the Black American neighborho= od to show myself that I could do it.683 = Relent &= nbsp;Conversing with: injustice Robert Snyder neteisingai elg?si,= bet mamai spaud=C5=BEiant, nesugadinti jam gyvenimo, neskambinau polici= jai ir net likau jo mokiniu. Robert Klinkefus nor?jau ?sk?sti policijai.= I=C5=A1ai=C5=A1k?jo neteisyb?.745 = Searching for a structure = Conversing with: order =C5=A0v.Trejyb? Po= litikos =C5=A1akos614 = Stick to what is right &nb= sp; Conversing with: world Suprantu teisuolius, = nuskriaustuosius701 Conversing with: opposing view <= i>Conversing with: opposing view Conversing with: opposing view570 = Check myself &= nbsp; Conversing with: view from the side When people critic= ize me, I check myself, but often their criticism doesn't seem fair. Ov= er time, I realized that the criticism often is more fairly applied to t= he criticizer, and I concluded that I am a mirror for other people's wea= knesses.717= = Learning from my failures = Conversing with: other possibilities I le= arned not to brag about my mind because that can hurt others; to be read= y to lead because others may not be ready;to use the simplest vocabulary= so that I would be understood by everybody; to make clear my main point= so that people could help me; to not be modest so that people would be = aware of what I can do675 Conversing with: solution Con= versing with: solution Conversing with: solution542 = Endow an existing term with new meanin= g Conversing with: possibilities = of language I=C5=A1 matematikos pritaikiau atvaizd? (representation)= 793= = Recognizing a solution &nb= sp; Conversing with: making meaningful Ar i=C5=A1= viso ?manoma k? nors =C5=BEinoti? Viskas603 = Remembering a solution &nb= sp; Conversing with: memory Smegen? plovimas677 = Reuse existing solutions &= nbsp; Conversing with: solution Perra=C5=A1in?ti= vykdinius753 = Wait &nb= sp;Conversing with: associations Neatsiliepti i=C5=A1 karto, leis= ti mintims ir pad??iai br?sti. Suprasiu, kaip bus su butu ?ikagoje, ko D= ievas nori.690<= /a>
		= Accept outcome
		Accept outcome &= nbsp; 1678 = ; Comparing effort and outcome = Fresh Air interview of boxer Sugar Ray Leonard, June 6, 20= 11: When they announced the decision, I felt like I had given 100 per= cent, just for the wrong fight.1892 = ; Early victories = Fresh Air interview of boxer Sugar Ray Leonard, June 6, 2011: He sta= rted competing in amateur matches, eventually winning the 1973 National = Golden Gloves Lightweight Championship. The following year, he won the G= olden Gloves title again, along with the National AAU Lightweight Champi= onship. Those early victories, he says, helped him break out of his shel= l.1883= = ; Look at yourself in the mirror &nbs= p; Fresh Air interview of boxer Sugar Ray Leonard, June 6, = 2011: It's a gradual progression of getting better and, as weeks go b= y, you look into the mirror and you see a different person. It evolves. = One minute, you look kind of soft and then, within 6-8 weeks, your muscl= e and all that definition appears. The mirror doesn't lie. It tells you = exactly what you are."1894 = Natural experiment &= nbsp; Conversing with: creativity of nature We can rec= ognize that nature itself may be "conducting experiments" that we would = like to conduct, but can't. Nature has created the conditions for the e= xperiment and we simply have to note and analyze the results. There are= natural nuclear reactions in uranium, bacteria growing in high levels o= f arsenic, and many types of remarkable configurations in microbiology a= nd astronomy. Such searches have the spirit of Stephen Wolfram's "A New= Kind of Science".798 = ; Suffering from the actions of others &nbs= p; Fresh Air interview of J.J. Abrams: His justifi= cation for such secrecy has to do with a script for a Superman film he w= rote 15 years ago, he explains. "It was leaked out of the studio, and so= meone reviewed the script online in great detail, and it became this big= thing and ultimately the film didn't get made,= 1870 = ; Establish the validity of evidence = ; A hypothesis is a declarative statement that has not b= een established as true. ... We assert the truth of a hypothesis by offe= ring supporting evidence. But, as the late philosopher Karl Popper estab= lished in his writings in the 1930s, we can never really prove a hypothe= sis true. We can and do, however, for countless reasons, accept hypothes= es as true until they are proven to be false. ... We disprove a hypothes= is with evidence. "Information" becomes "evidence" only when we connect = it with a hypothesis. ... When we find "evidence", we should try to esta= blish its validity by answering four questions: Who or what was the source? What was the source's access? How did the source obtain the informat= ion? Was that method plausible? ... What is the source's reliability? ... Is the information plausible? ... The Thinker's Toolkit by Morgan D.Jones2144
		&n= bsp;Plausible reasoning
	=	Plausible reasoning = "How high can a giraffe fly?" Instantly our mind tells us the questio= n is "illogical". ... how do we know? An educated guess is that the mind= compares the new information about the giraffe with the old information= the mind has stored away about the animal. ... it clashes violently, an= d the mind tells us it doesn't match, meaning it doesn't make sense. Th= is is a far cry from reasoning or rational thinking, and it's certainly = light-years away from formal logic. ... "Plausible" means "seemingly tru= e at first glance." ... As Morton Hunt put it, "Natural [plausible] rea= soning often succeeds even when it violates laws of logic. What laws the= n does natural reasoning obey?" He cited two: plausibility and probabili= ty. "In contrast to logical reasoning," said Hunt, "natural reasoning pr= oceeds by steps that are credible [plausible] but not rigorous and arriv= es at conclusions that are likely [probable] but not certain. ... Becau= se logic, to be effective, requires total consistency and total certaint= y, logical thinking is unsuited for dealing with the real world in which= the only certainty (other than taxes and TV commercials) is ultimate de= ath. But plausible reasoning requires neither consistency nor certainty.= Plausibility strives for the gap, just as truth does. The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2129
		= Take stock

		&nb= sp; Let things unfold
		Let things unfold = ; 150 = Allowing failure &nb= sp; 439 = Be ready to improvise &nbs= p; 437 = Giving things time &= nbsp; 464 = Making good of mistakes &n= bsp; 443 = Waiting patiently &n= bsp; 425
		= ; Observe	<= /td>
		= Observe = 915<= /p> = Extend our senses= with improved scientific instruments = Edward Cherlin, 2011.04.24: We know that our models are= reasonably complete and accurate at best in the areas we have been able= to observe, and that every new addition to our senses in improved scien= tific instruments, going back to Galileo's first telescope, reveals surp= rises like the mountains of the moon, the constancy of the speed of ligh= t (interferometers) or neutrino oscillation (simple but quite large neut= rino detectors).916
		&nb= sp; Caring for =3D Believing in
		Caring for =3D Believ= ing in This matches the two = branches, Believing and Caring, completely and quite likely, inversely. = For Believing leads to Caring, and Caring leads to Believing. And so ma= tching the two branches as wholes leads to this perspective.44
		= ; Sets of objects exist
		Sets of objects exist&nbs= p; We can fuse the particle and wave poin= ts of view to work with a partial reality. For example, we can talk abo= ut a banana, an apple or an orange as well defined objects that mean som= ething more than a random assemblage of half of the atoms in a banana wi= th half of the atoms in the apple. We are then no longer talking about = the symmetry of the universe. John says: A symmetry group = commutes with the underlying symmetry of a particular phenomenon, its sp= acial symmetry, as the set of possible transformations, possible futures= . Previously, we worked with the entire universe, and if we translated i= t abstractly in a symmetry group and then ran things forward in the tran= slated frame, it was exactly isomorphic to what it would have been if we= had not translated it. But now, as we want to compartmentalize the uni= verse, then the price to pay is that we are not translating by the full = symmetry group, but only by some part of it. = This is analogous to having a tensor product and considering only one co= mponent, so that we have partial symmetry. We are going to treat one pa= rt of the universe as a compartment. This gives the reality to the symm= etry group because otherwise it couldn't be measured. Andrius: This com= partmentalization is also what allows us to define entropy and the one-w= ay direction of time, which says that states drift away from deliberaten= ess, which is expressed by the compartmentalization. Compartmentalizati= on also indicates the philosophical gaps or boundaries that allow for me= asurement to take place, allow for objectivity, the separation of the ob= server and the observed. Analogously, in math we have symmetry groups, = and in life we have meanings, the essence of what we wish to say, which = me take to be absolute, in cases where we have fundamental agreement. 847<= /p>
		= Linking heaven to earth
		Linking heaven to earth&= nbsp; God fights by retreating. Thus the = Kingdom of Heaven is taken violently by those who want to enter into it = by killing Jesus. Jesus connects earth and heaven, light and darkness, = identity and perfection, metaphysically. He is the light of the world. = He is the substitute for each of us, by whom we can substitute for each = of us. The last day, when there is no more night, thus no distinction be= tween night and day, the two branches.1348 Jesus's expectations I = did a study of the Gospel of Mark of Jesus's emotional responses to see = what he was responding to, what his expectations were. His expectations= were that we are all one.1241 = ; Allegiance to Jesus' name What is Jesus' name? It is a subs= titute for him that shows who is accepting his culture. It is perhaps a = unifier for the two branches. A name allows for ambiguity and resolves i= t to unity. 18:1 In that hour the disciples came to Jesus, saying, "Who = then is greatest in the Kingdom of Heaven?" 18:2 Jesus called a little c= hild to himself, and set him in their midst, 18:3 and said, "Most certai= nly I tell you, unless you turn, and become as little children, you will= in no way enter into the Kingdom of Heaven. 18:4 Whoever therefore humb= les himself as this little child, the same is the greatest in the Kingdo= m of Heaven. 18:5 Whoever receives one such little child in my name rece= ives me, 18:6 but whoever causes one of these little ones who believe in= me to stumble, it would be better for him that a huge millstone should = be hung around his neck, and that he should be sunk in the depths of the= sea. 1961= = ; Analogy of God to us as parent to c= hildren Matthew 7:11 If = you then, being evil, know how to give good gifts to your children, how = much more will your Father who is in heaven give good things to those wh= o ask him!1480= = ; Are we the same or different? Matthew 23:8 But don't you be= called 'Rabbi,' for one is your teacher, the Christ, and all of you are= brothers. 155= 2 = ; Asking them to make evident their bel= ief Jesus has them say i= f they are believers or not so that he can know how to speak to them. Ma= rk 11:29 Jesus said to them, "I will ask you one question. Answer me, an= d I will tell you by what authority I do these things. 11:30 The baptism= of John - was it from heaven, or from men? Answer me."1399 = ; Call his disciples = Matthew 10:1 He called to himself his tw= elve disciples, and gave them authority over unclean spirits, to cast th= em out, and to heal every disease and every sickness. 1738 = ; Children do as the parent does= 1866 = ; C= hildren of Wisdom Wisdom= approaches people where they are at, or where they claim to be at. Matt= hew 11:19 ... But wisdom is justified by her children." 1867 = ; Creating a tangible reference to an= abstract question Jesus= calls a child to make his point. 18:1 In that hour the disciples came = to Jesus, saying, "Who then is greatest in the Kingdom of Heaven?" 18:2 = Jesus called a little child to himself, and set him in their midst, 18:3= and said, "Most certainly I tell you, unless you turn, and become as li= ttle children, you will in no way enter into the Kingdom of Heaven. 18:4= Whoever therefore humbles himself as this little child, the same is the= greatest in the Kingdom of Heaven. 18:5 Whoever receives one such littl= e child in my name receives me, 18:6 but whoever causes one of these lit= tle ones who believe in me to stumble, it would be better for him that a= huge millstone should be hung around his neck, and that he should be su= nk in the depths of the sea. 1959 = ; Eightfold structure of Lord's prayer<= /span> Matthew 6:9 Pray like this: = 'Our Father in heaven, may your name be kept holy. 6:10 Let your Kingdom= come. Let your will be done, as in heaven, so on earth. 6:11 Give us to= day our daily bread. 6:12 Forgive us our debts, as we also forgive our d= ebtors. 6:13 Bring us not into temptation, but deliver us from the evil = one. For yours is the Kingdom, the power, and the glory forever. Amen.' = 1434 = ; Essential concepts = ; Jesus cares about law, justice, mercy f= aith. Matthew 23:23 "Woe to you, scribes and Pharisees, hypocrites! For= you tithe mint, dill, and cumin, and have left undone the weightier mat= ters of the law: justice, mercy, and faith. But you ought to have done t= hese, and not to have left the other undone. 23:24 You blind guides, who= strain out a gnat, and swallow a camel!2051 = ; God's will: the bread of life&= nbsp; Bread of life - DIFFERENCE/UNITY IN= BELIEVING - guarantee eternity - to do the Father's will that all he dr= aws to Jesus do indeed believe in him unwaveringly, thus have eternal li= fe, as Jesus' gift is unwavering1976 = ; How are distinctions reconciled? The last day means that there= is no more alternation of night and day and so the two branches are rec= onciled. John 6:39 This is the will of my Father who sent me, that of a= ll he has given to me I should lose nothing, but should raise him up at = the last day. 6:40 This is the will of the one who sent me, that everyon= e who sees the Son, and believes in him, should have eternal life; and I= will raise him up at the last day."1963 = ; How is good related to God Matthew 19:16 Behold, one came = to him and said, "Good teacher, what good thing shall I do, that I may h= ave eternal life?" 19:17 He said to him, "Why do you call me good? No on= e is good but one, that is, God. 2003 = ; How to unify &n= bsp; Jesus unifies the two branches by laying down hi= s life. John 10:14 I am the good shepherd. I know my own, and I'm known= by my own; 10:15 even as the Father knows me, and I know the Father. I = lay down my life for the sheep. 10:16 I have other sheep, which are not = of this fold. I must bring them also, and they will hear my voice. They = will become one flock with one shepherd. 10:17 Therefore the Father love= s me, because I lay down my life, that I may take it again. 10:18 No one= takes it away from me, but I lay it down by myself. I have power to lay= it down, and I have power to take it again. I received this commandment= from my Father."1968 = ; Identify Peter as the Stone Matthew 16:15 He said to them,= "But who do you say that I am?" 16:16 Simon Peter answered, "You are th= e Christ, the Son of the living God." 16:17 Jesus answered him, "Blessed= are you, Simon Bar Jonah, for flesh and blood has not revealed this to = you, but my Father who is in heaven. 16:18 I also tell you that you are = Peter, and on this rock I will build my assembly, and the gates of Hades= will not prevail against it. 16:19 I will give to you the keys of the K= ingdom of Heaven, and whatever you bind on earth will have been bound in= heaven; and whatever you release on earth will have been released in he= aven."1326= = ; Identifying himself as born of spi= rit, not born of woman T= he Kingdom of Heaven is rejected violently by those who prefer Jesus to = be dead. Thus the violent enter into the Kingdom of Heaven, by killing = Jesus so that he could save them. 11:12 From the days of John the Baptiz= er until now, the Kingdom of Heaven suffers violence, and the violent ta= ke it by force.1859 = ; Is a name or word appropriate?<= /span> Matthew 23:8 But don't you b= e called 'Rabbi,' for one is your teacher, the Christ, and all of you ar= e brothers. 23:9 Call no man on the earth your father, for one is your F= ather, he who is in heaven. 23:10 Neither be called masters, for one is = your master, the Christ.1553 = ; Jesus knows himself ("most certainly"= ) Matthew 8:8 The centurion = answered, "Lord, I'm not worthy for you to come under my roof. Just say = the word, and my servant will be healed. 8:9 For I am also a man under a= uthority, having under myself soldiers. I tell this one, 'Go,' and he go= es; and tell another, 'Come,' and he comes; and tell my servant, 'Do thi= s,' and he does it." 8:10 When Jesus heard it, he marveled, and said to = those who followed, "Most certainly I tell you, I haven't found so great= a faith, not even in Israel.1605 = ; Love God &nbs= p; "Love God" is the positive commandment that unites four = of the commandments. It is what unites us as people with God through lov= e for him.2025= = ; Naming = ; Matthew 16:17 Jesus answered him, "Blessed are you,= Simon Bar Jonah, for flesh and blood has not revealed this to you, but = my Father who is in heaven. 16:18 I also tell you that you are Peter, an= d on this rock I will build my assembly, and the gates of Hades will not= prevail against it.1327 = ; Note from whom God hides and to wh= om reveals The significa= nce of Jesus' miracles are hidden from John the Baptist, from Bethsaida = and Capernaum, from the wise and understanding, but "infants" are deligh= ted and uplifted, those who are fresh in faith, who don't want to justif= y the world, but want it bettered, by those who suffer and labor, who wa= nt healing. Matthew 11:25 At that time, Jesus answered, "I thank you, Fa= ther, Lord of heaven and earth, that you hid these things from the wise = and understanding, and revealed them to infants. 11:26 Yes, Father, for = so it was well-pleasing in your sight. = 1911 = ; Planning &nb= sp; Matthew 16:18 I also tell you that you are Peter,= and on this rock I will build my assembly, and the gates of Hades will = not prevail against it. 16:19 I will give to you the keys of the Kingdom= of Heaven, and whatever you bind on earth will have been bound in heave= n; and whatever you release on earth will have been released in heaven."= 1328 = ; Seeking the greatest commandment<= /span> Mark 12:28 One of the scribe= s came, and heard them questioning together. Knowing that he had answere= d them well, asked him, "Which commandment is the greatest of all?" 12:2= 9 Jesus answered, "The greatest is, "Hear, Israel, the Lord our God, the= Lord is one: 12:30 you shall love the Lord your God with all your heart= , and with all your soul, and with all your mind, and with all your stre= ngth." This is the first commandment. 12:31 The second is like this, "Yo= u shall love your neighbor as yourself." There is no other commandment g= reater than these."1405 = ; Speak from what they can know John 3:10 Jesus answered him, "A= re you the teacher of Israel, and don't understand these things? 3:11 Mo= st certainly I tell you, we speak that which we know, and testify of tha= t which we have seen, and you don't receive our witness. 3:12 If I told = you earthly things and you don't believe, how will you believe if I tell= you heavenly things?2082 = ; The Jewish prophets are the Kingdom o= f Heaven Jesus calls the Jew= ish people "the children of the Kingdom of Heaven" and says that Abraham= , Isaac and Jacob will be in the Kingdom of Heaven. But this means that= Abraham, Isaac and Jacob are already in the Kingdom of Heaven and even = define the Kingdom of Heaven. Therefore the "children" ethnically are n= ot necessarily the children spiritually. Jesus is, it seems, discovering= this distinction. Note also that Isaac is the child of Abraham, and Jac= ob is the child of Isaac. Matthew 8:11 I tell you that many will come f= rom the east and the west, and will sit down with Abraham, Isaac, and Ja= cob in the Kingdom of Heaven, 8:12 but the children of the Kingdom will = be thrown out into the outer darkness. There will be weeping and gnashin= g of teeth.160= 6 = ; To whom will I give the keys of th= e Kingdom of Heaven Mat= thew 16:15 He said to them, "But who do you say that I am?" 16:16 Simon = Peter answered, "You are the Christ, the Son of the living God." 16:17 J= esus answered him, "Blessed are you, Simon Bar Jonah, for flesh and bloo= d has not revealed this to you, but my Father who is in heaven. 16:18 I = also tell you that you are Peter, and on this rock I will build my assem= bly, and the gates of Hades will not prevail against it. 16:19 I will gi= ve to you the keys of the Kingdom of Heaven, and whatever you bind on ea= rth will have been bound in heaven; and whatever you release on earth wi= ll have been released in heaven."1999 = ; What do they already know&= nbsp; Jesus is sensitive to what they alr= eady know, even as they ask. Luke 18:18 A certain ruler asked him, sayi= ng, "Good Teacher, what shall I do to inherit eternal life?" 18:19 Jesus= asked him, "Why do you call me good? No one is good, except one=E2=80=94= God. 18:20 You know the commandments: 'Don't commit adultery,' 'Don't mu= rder,' 'Don't steal,' 'Don't give false testimony,' 'Honor your father a= nd your mother.'"2069 = ; What does God deliver to Jesus= God the Father (understandi= ng) delivers all things to God the Son (who is coming to understand) for= that is how all things are understood. Matthew 11:27 All things have b= een delivered to me by my Father.1915 = ; What example does he give? Matthew 20:24 When the ten hear= d it, they were indignant with the two brothers. 20:25 But Jesus summone= d them, and said, "You know that the rulers of the nations lord it over = them, and their great ones exercise authority over them. 20:26 It shall = not be so among you, but whoever desires to become great among you shall= be your servant. 20:27 Whoever desires to be first among you shall be y= our bondservant, 20:28 even as the Son of Man came not to be served, but= to serve, and to give his life as a ransom for many."2016 = ; What is done for the sake of his n= ame Matthew 19:27 Then P= eter answered, "Behold, we have left everything, and followed you. What = then will we have?" 19:28 Jesus said to them, "Most certainly I tell you= that you who have followed me, in the regeneration when the Son of Man = will sit on the throne of his glory, you also will sit on twelve thrones= , judging the twelve tribes of Israel. 19:29 Everyone who has left house= s, or brothers, or sisters, or father, or mother, or wife, or children, = or lands, for my name's sake, will receive one hundred times, and will i= nherit eternal life. 19:30 But many will be last who are first; and firs= t who are last.2010 = ; What is good = Jesus thinks that what is good, what is import= ant, is that people open up to spiritual life, embrace the Kingdom of He= aven as possible, and thus live a faith in eternal life. I think that h= e felt this should be in tandem, physically and spiritually. Matthew 11:= 2 Now when John heard in the prison the works of Christ, he sent two of = his disciples 11:3 and said to him, "Are you he who comes, or should we = look for another?" 11:4 Jesus answered them, "Go and tell John the thing= s which you hear and see: 11:5 the blind receive their sight, the lame w= alk, the lepers are cleansed, the deaf hear, the dead are raised up, and= the poor have good news preached to them. 11:6 Blessed is he who finds = no occasion for stumbling in me." 1825 = ; What is good &n= bsp; What is good is what we believe in (what you bel= ieve is what happens) and/or what we care about (what you find is what y= ou love). Luke 18:18 A certain ruler asked him, saying, "Good Teacher, = what shall I do to inherit eternal life?" 18:19 Jesus asked him, "Why do= you call me good? No one is good, except one=E2=80=94God. 18:20 You kno= w the commandments: 'Don't commit adultery,' 'Don't murder,' 'Don't stea= l,' 'Don't give false testimony,' 'Honor your father and your mother.'"<= span class=3D"mazi">2066= = ; Where is Jesus from &n= bsp; John 3:13 No one has ascended into heaven,= but he who descended out of heaven, the Son of Man, who is in heaven.2081<= /p> = ; Whether Jesus or Satan has them Jesus prayed that Peter's fai= th not fail. Luke 22:31 The Lord said, "Simon, Simon, behold, Satan ask= ed to have you, that he might sift you as wheat, 22:32 but I prayed for = you, that your faith wouldn't fail. You, when once you have turned again= , establish your brothers."2075 = ; Whether their faith will fail Jesus prayed that Peter's faith= not fail. Luke 22:31 The Lord said, "Simon, Simon, behold, Satan asked= to have you, that he might sift you as wheat, 22:32 but I prayed for yo= u, that your faith wouldn't fail. You, when once you have turned again, = establish your brothers."2076 = ; Whether they think he is of God or= not Matthew 19:16 Behol= d, one came to him and said, "Good teacher, what good thing shall I do, = that I may have eternal life?" 19:17 He said to him, "Why do you call me= good? No one is good but one, that is, God. 2005 = ; Who can know God &= nbsp; God is understanding. To know God is to c= ome to understanding, thus is by and through Jesus, for Jesus is coming = to understand. Jesus reveals God to those who believe, those of the Kin= gdom of Heaven. God is impartial, and gives judgment to Jesus, whom he t= eaches to be impartial. Jesus is God's impartial judgment, for Jesus is= distinct and independent of God, thus impartial with regard to God, for= Jesus came to understanding. To know God is to know his impartiality, = aand to know his Son is likewise to know his impartiality. The impartia= lity of God manifests in his Son who manifests it, Matthew 11:27 All th= ings have been delivered to me by my Father. No one knows the Son, excep= t the Father; neither does anyone know the Father, except the Son, and h= e to whom the Son desires to reveal him. 1913 = ; Who can know the Son of God Only God the Father (understan= ding) knows the Son of God, for God is of beyond this world and only so = can be apart from it and understand, be distinct, from one who is firmly= in it. Matthew 11:27 All things have been delivered to me by my Father= . No one knows the Son, except the Father; neither does anyone know the = Father, except the Son, and he to whom the Son desires to reveal him. 1914<= /p> = ; Who does God listen to = ; John 9:30 The man answered them, "How a= mazing! You don't know where he comes from, yet he opened my eyes. 9:31 = We know that God doesn't listen to sinners, but if anyone is a worshippe= r of God, and does his will, he listens to him.2089 = ; Who is a substitute for Jesus A child is a substitute for J= esus. Matthew 18:1 In that hour the disciples came to Jesus, saying, "W= ho then is greatest in the Kingdom of Heaven?" 18:2 Jesus called a littl= e child to himself, and set him in their midst, 18:3 and said, "Most cer= tainly I tell you, unless you turn, and become as little children, you w= ill in no way enter into the Kingdom of Heaven. 18:4 Whoever therefore h= umbles himself as this little child, the same is the greatest in the Kin= gdom of Heaven. 18:5 Whoever receives one such little child in my name r= eceives me, 18:6 but whoever causes one of these little ones who believe= in me to stumble, it would be better for him that a huge millstone shou= ld be hung around his neck, and that he should be sunk in the depths of = the sea.1958 = ; Who revealed this = Matthew 16:15 He said to them, "But who = do you say that I am?" 16:16 Simon Peter answered, "You are the Christ, = the Son of the living God." 16:17 Jesus answered him, "Blessed are you, = Simon Bar Jonah, for flesh and blood has not revealed this to you, but m= y Father who is in heaven. 16:18 I also tell you that you are Peter, and= on this rock I will build my assembly, and the gates of Hades will not = prevail against it. 16:19 I will give to you the keys of the Kingdom of = Heaven, and whatever you bind on earth will have been bound in heaven; a= nd whatever you release on earth will have been released in heaven."1998
		&nb= sp;Symmetry
		= Symmetry S= ymmetry group We unify internal and external points of view, link ti= me and space, by considering a group of actions in time acting on space.= Some aspects of the space are invariant, some aspects change. Actions c= an make the space more or less convoluted. At this point, we have arrive= d at a self-standing system, one that can be defined as if it was indepe= ndent of our mental processes. Our problem has become "a math problem". = Analogously, in real life, after projecting more and more what we mean i= n general by people, including ourselves and others, we finally take us = for granted as entirely one and the same and instead make presumptions t= owards a universal language by which we might agree absolutely.13 = ; Axiom schema of specification &= nbsp; Wikipedia: If z is a set, and P is any property wh= ich may characterize the elements x of z, then there is a subset y of z = containing those x in z which satisfy the property. The "restriction" to= z is necessary to avoid Russell's paradox and its variants. I think= this relates to the idea that we can focus on the relevant symmetry and= the relation between the locations affected or not by the symmetry grou= p and the actions of that group.1170 = ; Algebraic symmetry = Sequences can have symmetry, like this row = of Pascal's Triangle: 1, 6, 15, 20, 20, 15, 6, 1 ... In just about any s= ituation where you can imagine "pairing" things up, you can think about = symmetry. pg.74, The Art and Craft of Problem Solving, Paul Zeitz, = 1999, John Wiley & Sons, Inc.1627 = ; Exploit underlying symmetry in polyno= mials Algebra problems wi= th many variables or of high degree are often intractable unless there i= s some underlying symmetry to exploit. ... Solve x4 + x3 + x*2 + x= 1 + 1 =3D 0 ... we will use the symmetry of the coefficients as a start= ing point to impose yet more symmetry, on the degrees of the terms. Simp= ly divide by x2 yielding x2 + x + 1 + 1/x + 1/x2 then make the sub= stitution u :=3D x + 1/x. pg. 75, The Art and Craft of Problem Sol= ving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1629 = ; Fixed objects = ; When pondering a symmetrical situation, you shou= ld always focus briefly on the "fixed" objects which are unchanged by th= e symmetries. For example, if something is symmetric with respect to ref= lection about an axis, that axis is fixed and worthy of study (the strea= m in the previous problem played that role). pg. 72 The Art and Cra= ft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1585 = ; Four= bugs chasing each other = a classic problem which exploits rotational symmetry along with a crucia= l fixed point ... Four bugs are situated at each vertex of a unit square= . Suddenly, each bug begins to chase its counterclockwise neighbor. If t= he bugs travel at 1 unit per minute, how long will it take for the four = bugs to crash into one another? pg.71 The Art and Craft of Problem = Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.<= a href=3D"http://t.co/ju1KSid#1586">1586 = ; Geometric symmetry = The simplest geometric symmetries are rotat= ional and reflectional.* pg. 71 The Art and Craft of Problem Solving= , Paul Zeitz, 1999, John Wiley & Sons, Inc.1582 = ; Fetc= hing water for Grandma Yo= ur cabin is 2 miles due north of a stream which runs east-west. Your gr= andmother's cabin is located 12 miles west and 1 mile north of your cabi= n. Every day, you go from your cabin to Grandma's, but first visit the s= tream (to get fresh water for Grandma). What is the length of the route = with minimum distance? pg.71 The Art and Craft of Problem Solving, = Paul Zeitz, 1999, John Wiley & Sons, Inc.1584 = ; Squa= re inscribed in circle inscribed in square = ; A square is inscribed in a circle which is inscribed i= n a square. Find the ratio of the areas of the two squares. pg.70 T= he Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons= , Inc.1583= = ; Harmony = ; An informal alternate definition of symmetry is "harmo= ny". ... If you can do something that makes things more harmonious or mo= re beautiful, even if you have no idea how to define these two terms, th= en you are often on the right track. pg. 70 The Art and Craft of Pr= oblem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1580 = ; Invariant with respect to transformat= ions this topic [symmetry= ] is logically contained within the concept of invariants. If a particul= ar object (geometrical or otherwise) contains symmetry, that is just ano= ther way of saying that the object itself is an invariant with respect t= o some transformation or set of transformations. For example, a square i= s invariant with respect to rotations about its center of 0, 90, 180 and= 270 degrees. pg. 103, The Art and Craft of Problem Solving, Paul Ze= itz, 1999, John Wiley & Sons, Inc.1646 = ; Not quite symmetrical &nb= sp; The strategic principles of peripheral v= ision and rule-breaking tell us to look for symmetry in unlikely places,= and not to worry if something is almost, but not quite symmetrical. In = these cases, it is wise to proceed as if symmetry is present, since we w= ill probably learn something useful. pg. 70 The Art and Craft of Pr= oblem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1581 = ; Comp= leting the square by trying to symmetrize = x*2 + ax =3D x(x + a) =3D (x + a/2 -a/2)(x + a/2 + a/2= ) =3D (x + a/2)2 - (a/2)2 Above is a way to discover the completin= g-the-square formula by trying to symmetrize the terms, then adding zero= creatively. pg. 163, The Art and Craft of Problem Solving, Paul Zeitz, = 1999, John Wiley & Sons, Inc. 1381 = ; Search for order &n= bsp; Many fundamental problem-solving tactics invo= lve the search for order. Often problems are hard because they seem "cha= otic" or disorderly; they appear to be missing parts (facts, variables, = patterns) or the parts do not seem connected. ... we will begin by study= ing problem-solving tactics that help us find or impose order where ther= e seemingly is none. pg. 69 The Art and Craft of Problem Solving, Pa= ul Zeitz, 1999, John Wiley & Sons, Inc.1524 = ; Symmetry &nbs= p; Symmetry involves finding or imposing order in a conc= rete way, for example, by reflection. ... We call an object symmetric if= there are one or more non-trivial "actions" which leave the object unch= anged. We call the actions that do this the symmetries of the object (Fo= otnote: We are deliberately avoiding the language of transformations and= automorphisms that would be demanded by a mathematically precise defini= tion.) ... Why is symmetry important? Because it gives you "free" inform= ation. If you know that something is, say, symmetric with respect to 90-= degree rotation about some point, then you only need to look at one-quar= ter of the object. And you also know that the center of rotation is a "s= pecial" point, worthy of close investigation. pg. 69-70 The Art and= Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1579 = ; The Gaussian pairing tool = ; Gauss, as a child, added up the sum 1 += 2 + 3 + ... + 100, presumably by pairing up the number 1 and 100, 2 and= 99, 3 and 98, ... 50 and 51, yielding 50 pairs of 101 for a total of 5,= 050. Paul Zeitz notes this as an example of symmetry and calls it the G= aussian pairing tool. pg. 75, The Art and Craft of Problem Solving, Paul= Zeitz, 1999, John Wiley & Sons, Inc.1628
		= Distill - Implicitly Transform
	Distill - Implicit= ly Transform 184 = Back of the Napkin &nb= sp; evoke informal, focused answers 366 = Draw the Problem = ; describe problems so that we care 370 = Elevator Pitch &= nbsp; sum up what is remarkable about your solution 367 = Pecha Kucha / Ignite &= nbsp; share, present concisely 369 = Poster Session &= nbsp; communicate ideas passionately with simple images 368 = The Pitch = focus on feasibility and viability 371
		= Caring for =3D Believing in
		Caring for =3D Believing in<= /span> Distilling the essence. Disti= ll the key idea and communicate it simply and vividly.32 Capture with a personal expression &n= bsp; 15= 89 = Artistic process &nb= sp; Conversing with: subconscious Making my statue "Tr= oskimai (Wishes)" and my video summary "I Wish to Know" spurred the brea= kthroughs by which I pulled together my philosophy, namely that the evol= ving structures show that God is Not necessary (rather than is). My pai= nting of the muses of the days of creation showed me how their smiles gr= ew ever more serious. Focusing on the differences between me and God rem= inded me of my childhood experiences.607 = ; Consider how a word is used in other = passages Jesus in the Gospel= s seems to speak in a private language, a personal code, much as I think= in my philosophy. I find that about a third of his sayings are unclear= as to their meaning. I look for other passages where he uses the same = word or image or idea and that helps me decode what I think he means. In= the Gospel of John, I traced down that the "Son of Man" means one who i= s taught by man, and man teaches by making an example out of him. Simil= arly, I've tried to decode Kant's Critique of Pure Reason and the beginn= ing of Heidegger's Being and Time. As I do that, I look for approaches = and structures that I myself have uncovered in my own thinking. I think= a similar approach led to the decoding of the Rosetta stone and of the = Egyptian hieroglyphics as well as many others.1725 = Equate two statements &nbs= p; Conversing with: issue In developing the good= will exercises, I would ask people, if they were riled about a surface = topic, what made them feel bad about it? What would make them feel worse= ? What would make them feel good? And what would make them feel even bet= ter? I would express their answers as starkly as possible. Then I woul= d look for what their statements had in common, ignoring the negative an= d positive dimensions, and focusing only on the semantic content. This = would yield the deep issue.662 = Find something comparable in my own ex= perience Conversing with: insight= What does Jesus mean by the "poor-in-spirit"? From my efforts towa= rds a culture of independent thinkers, I deduced that the "rich-in-spiri= t" are the martyrs, whereas the "poor-in-spirit" want to take many small= , sensible leaps of faith, not one big one.698 = Illustrative examples &nbs= p; Conversing with: fundamental knowledge Certai= n examples from real life make vivid for me the reality of the sciences.= In physics, I was most impressed when our professor Isaac Abella showe= d us that if we place our forefinger just above our thumb and look throu= gh that gap in the light, then we will see diffraction effects, ripples = of light and darkness, which is evidence that light is a wave, which int= erferes with itself constructively (brightening the light) and destructi= vely (canceling out, leaving darkness). I was deeply impressed that suc= h a physical fact could be observed and deduced from our bare hands. It= was available to all humankind, yet who cared to make sense of it?601 = ; Watc= hing human cells floating on my eyes = ; As a nearsighted child, I noticed "floaters" that moved across = my eye, chains of blocks. I learned about cells in my biology, and then,= one day, sitting in a dentist's chair, I thought, the floaters must be = chains of cells which I can see because they are close up, right on my e= yeball. My mother said no. But later an optometrist confirmed that, yes,= indeed they were! I thought it was wonderful that I could see human cel= ls with my own naked eyes!1236 = ; Visualizing my feelings &= nbsp; In 1992, I was devastated because the wom= an I loved with all my heart, but hadn't been in love with me, returned = to her home in Lithuania and married a man she loved, but who hadn't bee= n in love with her. Sometimes I would visualize how I felt. I felt tha= t I was in a deep abyss, so far down that I couldn't even see or imagine= the light above, and the abyss went down, down, down. But over the mon= ths, as I chugged along, I started to feel the light; I started to imagi= ne the edge of the cliff; I was still down below, but I knew there was a= pasture above that edge; that was about six months later. And then one= day I felt that I was over the edge.1230 Express in a universal language = ; 1588<= /a> = ; Considering inseparability of perspec= tives I am hypothesizing, ba= sed on my results with just a few rooms, that for each room of the House= of Knowledge there are two groups of ways, one that relates to the hear= t and another to the world. I'm wondering if those two groups are insep= arable, if they somehow must go together and thus fit together, for othe= rwise there could be 48 rooms and not 24 rooms, but there are many struc= tural reasons why there should be only and exactly 24 rooms, but especia= lly because the omniscope has 24 perspectives, and also because it match= es well with the number of divisions 24/3=3D8, topologies 24/2=3D12 and = representations 24/4=3D6. Furthermore, inseperability would be an intri= guing notion. It would also relate to what I call anti-structure or the= division of everything into -1 perspectives, which is given by an oppos= ite, as in the perspective of free will, where good and bad coexist and = are inseparable, unable to stand alone.1304 = Distill the essence = Conversing with: ideal interlocutor Good will e= xercises. Andrius's and God's answers to the 12 questions. Deep ideas = in math, algebra. Doubts and counterquestions. The truth of the world pr= oceeds from the truth of the heart.598 = Express in Lithuanian &nbs= p; Conversing with: meaning of an expression Lit= huanian words are transparent in meaning. So I try to express concepts = in Lithuanian to understand them. I thus expressed "culture" as "common= ality".760<= /span> = ; Notice inherent ambiguity = ; I noticed the ambiguity in Jesus' expla= nation of why he speaks plainly to his believers, but in parables to oth= ers, that "they might not understand, they might be damned", which is to= say, that he not impinge on their freedom, but that they might be free = to accept him or not. The word "might" or "can" can be understood in two= ways, by fate or by free will. Similarly, the word "meaningful" in Eng= lish and in Lithuanian, and I suppose in every language, tends towards t= wo different meanings, one where a word in a system has meaning within i= t, and another where a life in a world has meaning beyond it.1953 = Recognize a structure from its parts Conversing with: my own knowledge<= /i> In the good will exercises, I recognized the relevance of the threes= ome because, with regard to the homeless, I was not following through on= my stand. I therefore considered that likewise there could be exercise= s which help me reflect upon following through, or take a stand upon ref= lecting.724= = Reexpress in a different domain= Conversing with: answer 540 = Restating structures = ; Conversing with: science I was inspired by the= works of Christopher Alexander and Stephen Toulmin, but I rethought and= accepted their ideas from my own point of view.622 = ; Structure laboratory around endeavors based on m= etaphysical categories E= arly on, I organized Minciu Sodas around a system of ten categories (fou= r for supporting caring, six for supporting thinking) much as in the abs= olute learning of the House of Knowledge. I was hoping that what we lea= rn from our activity would yield insights to the metaphysical structures= and vice versa. Ultimately, I abandoned this to organize around indivi= duals and their deepest values.1471
		= Match inner and outer worlds through person-i= n-general
=		= Match inner and outer worlds through person-in-general = ; 1525 = ; Maximum Margin Classifier = ; Starting with the Minimum Empirical Err= or Classifier, the number of dimensions exceeds the number of training s= amples, and proper training leads to zero empirical error. Zero empirica= l error can also be obtained when n =3D N1 + N2 exceeds the number of di= mensions p, if the distance between the pattern classes is sufficiently = large. Let the empirical error be zero, and consider the Euclidean dista= nce D between the discriminant hyperplane and the learning-set vector cl= osest to it. Consider likewise the distance between the discriminant hyp= erplane and a second learning-set vector. Then as the weights grow, a re= lated ratio diminishes to zero, which implies that the relative contribu= tion of the second learning-set vector becomes insignificant. There is a= tendency for the learning algorithm to put the decision hyperplane furt= her from the closest learning-set vector. At the end of the learning pro= cess, several vectors are at the same distance from the discriminant hyp= erplane. Only the ones closest to the discriminant hyperplane contribute= to the cost function and the final hyperplane location. This is the max= imum margin classifier. (See: Sarunas Raudys, Evolution and generalizat= ion of a single neurone: I. Single-layer perceptron as seven statistical= classifiers", Neural Networks 11 (1998) 283-296)1390 = ; Address the needs of loved ones &nb= sp; Fresh Air interview of boxer Sugar Ray Leonard, June 6,= 2011: When he got back to D.C.'s Maryland suburbs, where his family = lived, he realized that his father was extremely sick. His mother had he= r own health issues and the family needed money =E2=80=94 right away. "J= anks Morton, who eventually became my trainer and mentor, told me: 'You = turn pro, you make money. You can pay your father's hospital bills.' ...= I turned professional for that reason."1887 = ; Overloading terms = ; Jerry Michalski of The REXpedition overloaded the t= erms of Yin and Yang. Taoism traditionally understands Yin as receptive= , feminine, dark Earth energy and Yang as active, male, outward, bright = energy. Jerry extends these terms to our times by attributing to Yang w= hat is rational, logical, Cartesian, hierarchical, command and control, = analytic energy, and to Yin what is emotional, spiritual, ecological, sy= stemic, biological, emergent, abundant, creative energy. Taoism recomme= nds creative tension. Jerry thinks that we're in a great rebalancing, w= e've been suffering too much Yang, and Yin is showing up on the Internet= , interpersonal relationships. Jerry brings attention to it, collaborat= ing with people who are making it happen and creating things that accele= rate the process.1757 = ; Relationships with people who face hardship = ; I learned a lot from the patients. I= was discovering the tools of medicine from them. Many of my patients an= d I grew up together. They had seen me become a father for the first tim= e, and they consoled me when my father died. I had seen their children g= row up, having children themselves. I had helped them through family cri= ses, tragedies, diseases, and deaths. I had no idea in those first weeks= and months of General Medicine Clinic how much I would grow from these = relationships. I am on a first-name basis with many of my original patie= nts. From them I gained insight into illness and the dignity with which = people can face hardship that has helped me through difficult times in m= y life. I have taken care of three generations of some families, and hav= e seen the destruction that poverty, poor diet, obesity, diabetes, and h= ypertension can unleash on a family's tree. I learned that sometimes giv= ing hope or an embrace is as therapeutic as a drug. "County: Life, D= eath and Politics at Chicago's Public Hospital" by David Ansell M.D. Cop= yright 2011, David Ansell M.D. Published by Academy Chicago Publishers. = All Rights Reserved. Health. Chicago.1934 = ; Why are we using the word we are using? Jerry Michalski of The REXped= ition is turned off by the word "consumer" because of what the dictionar= y says it actually means (to destroy, often wastefully) and because of t= he violent metaphors that it encourages (military campaigns, branding ca= ttle, driving traffic).1758 = ; Defining basic terms &nbs= p; Bob Lichtenbert, Seekers' Dialogue on Motiva= ting For More Meaning Let's start at the same place that we always ou= ght to and do begin, namely, with a definition of boundary setting on ba= sic terms. Now by "motivating" I shall primarily mean "moving another p= erson to care or be interested or do in anything". I am mostly intereste= d in personal motivation in the psychological and philosophical (or valu= e) senses. So "motivation" as I mean it here in general is "to arouse ot= hers toward goal-directed behavior".1712 = ; Applying the letter of the law and w= atching for the spirit of the law &nbs= p; Perry Recker notes that in this episode the two mothers are li= ke the two branches, one of harshness and destruction and the other of f= orgiveness and healing. I note that the Talmud has a tradition that if = two conflict over a coat, and it is not clear who owns it, then it shoul= d be divided in half. Solomon may have simply applied the same logic he= re. His application revealed who the true owner was. If so, he was wise= by being true to the law, yet alert to what the law then reveals of our= hearts. The law is a process of clarifying, not a decision. 1st Kings = 3:23 Then the king said, "The one says, 'This is my son who lives, and y= our son is the dead;' and the other says, 'No; but your son is the dead = one, and my son is the living one.'" 3:24 The king said, "Get me a sword= ." They brought a sword before the king. 3:25 The king said, "Divide the= living child in two, and give half to the one, and half to the other." = 3:26 Then the woman whose the living child was spoke to the king, for he= r heart yearned over her son, and she said, "Oh, my lord, give her the l= iving child, and in no way kill it!" But the other said, "It shall be ne= ither mine nor yours. Divide it." 3:27 Then the king answered, "Give her= the living child, and in no way kill it. She is its mother."1691 = ; God's law is down-to-earth and known<= /a> Deuteronomy 30:11 For th= is commandment which I command you this day, it is not too hard for you,= neither is it far off. 30:12 It is not in heaven, that you should say, = "Who shall go up for us to heaven, and bring it to us, and make us to he= ar it, that we may do it?" 30:13 Neither is it beyond the sea, that you = should say, "Who shall go over the sea for us, and bring it to us, and m= ake us to hear it, that we may do it?" 30:14 But the word is very near t= o you, in your mouth, and in your heart, that you may do it.1688
		&n= bsp;Focus on one element at a time
		Focus on one element at a time = Fourth, structuring focuses on one element at a t= ime, which, compared to our instinctive scattershot approach of tackling= all elements simultaneously, is more systematic, more thorough, and mor= e productive of relevant ideas. The Thinker's= Toolkit by Morgan D.Jones2115 = ; Convergence and Divergence <= i> At any point in the analytic process, from the very beginning = to the very end, we are in one of two modes: convergent or divergent. ..= . Both divergence and convergence are necessary for effective problem so= lving. Divergence opens the mind to creative alternatives; convergence w= innows out the weak alternatives and focuses on, and chooses among, the = strong. Without divergence, we could not analyze a problem creatively or= objectively; without convergence, we would just keep on analyzing, neve= r coming to closure. It is therefore vital to effective problem solving = that the analyst be prepared and able to shift back and forth between di= vergent and convergent approaches easily and at will, using each mode to= its best effect as the problem-solving process dictates. What is more, = our conscious awareness of (1) the diametrically opposed roles of conver= gence and divergence and (2) which mode we are in at any given moment in= the analytic process will, by itself, greatly enhance our ability to so= lve problems. Unfortunately, it is extremely difficult for humans to shi= ft back and forth between these two ever-opposite, ever-warring approach= es. Most of us are not inherently good divergers; divergence is not one = of our instinctive processes. Indeed, most of us habitually resist diver= gence - sometimes passionately, even angrily. The Thinker's Toolkit by Morgan D.Jones2107
		= Live as if we are all one person
		Live as if we are all = one person 1088 = Consult with my= mother When I completed= my graduate courses, it was time to write a Ph.D. thesis. However, it w= asn't my goal to be a mathematician, I had simply wanted to get an educa= tion. So I didn't know for what reason to continue, although it felt a b= it awkward to stop. My mother supplied the reason, she said that I wante= d to be a person who finishes things, and I wouldn't have to explain for= the rest of my life why I hadn't finished. That was the reason I contin= ued. 893<= /p> = ; Earn money tog= ether and share it We ha= d a fund raiser for our travel to the national chess championships. We w= ent around to different businesses to ask for donations. I thought that = the money should go to the kids who needed it the most. But our teacher = said that the kids should all share it equally but especially because we= had made such an extra effort to collect it.1067 = Example of anot= her When we were childre= n, our father decided that he would supplement our allowance by giving u= s one penny for each page of Lithuanian books that we read for our own e= njoyment. He wouldn't pay for English books, only Lithuanian. It was a r= eally great support because the Lithuanian books were extra effort but I= really wanted to get good at reading them. It made it extra rewarding. 999<= /p> = ; Learn from stu= dying your teachers My f= ather taught me and my brother how to play chess. He would not play easy= but rather he would handicap himself by removing several of his pieces = from the board, enough to even out our chances. As we got better and wou= ld beat him, he would reduce the handicap. First it was a queen and two = rooks, later a queen, then a rook, then a bishop, then a knight, until o= ne day we could beat him. Because you can't learn from somebody who is n= ot playing to win! I was always impressed by how smart and kind he was a= s a teacher.10= 07 = Look for a solu= tion that works for everybody It never seemed right to make a living in a way that was special r= egarding me, but rather to find a way that anybody could make a living. = Because making a living is a big problem in life and what good is it if = I find a solution that only works for me? 980<= /p> = ; Look for other= s who might value what I value <= i> I used to collect postage stamps. I kept a very large and orderly= collection with thousands stamps from my father and uncle and grandfath= er and quite a few that I had purchased at a shop. I used the catalogs t= o organize my collection and was aware of how much the various stamps we= re worth. It was worth hundreds of dollars, the albums alone! When I was= leaving high school for college I was quite happy to give my collection= away, and saddened to realize that there wasn't any person, any child t= o give it away to. I sent it to a nun who was collecting stamps and sell= ing them in bulk for pennies to raise money, earning perhaps less than t= he shipping costs. It was sad, but even sadder that throughout my life I= never met a child who collected stamps and would care about all the com= plicated world history and geography that they represented. This, even t= hough I worked as a tutor with dozens of disadvantaged children.1010 = ; Make myself vu= lnerable to others' standards of behavior &n= bsp; I would lend money to my friends and have them pay off= my own loans, thus hurting my credit rating. I felt that I was helping = by letting them make good use of my credit. And that I shouldn't have to= be after them as they should be on top of things. But none of them were= perfect as to that. I suppose it's important to keep on top of the use = of credit if you're going to share it, you have to manage that.1057 = Take my father'= s experience to heart Wh= en I was in high school, some of my classmates started getting part time= jobs. I wondered whether I should get one, whether that would help me b= e a more balanced person. Or perhaps my brother wanted to get one. But m= y father said that he had worked in his youth because he had had to. And= we would be working all our lives. So he did not want us to work until = we had to. He wanted us to make the most of the opportunity that we had = not having to work. I felt encouraged by his view because it was his fir= st hand account, having had worked, and I accepted it, and I felt I did = not need to relive it. It's interesting that in my life I have never had= a full time job. 930<= /p>
		&nb= sp; Our message
		Our message &nbs= p; 153 = Building on a message &nbs= p; 510 = Realizing what we're communicating 441 = What is our message? = ; 518 = What is the meaning of an activity? 519
		= ; Conservation

		&nb= sp; The prophets
		The prophets = ; Jesus speaks of "the prophets and the law".1978
		= Truth	<= /td>
		= Truth 0= Truth, 1 Model, 2 Implication, 3 Variable We now think of the probl= em as relating two sheets, one of which has a wider point of view becaus= e it includes what may vary, not just what is fixed. There are four ways= to relate two such sheets. They are given by the questions Whether it i= s true? What is true? How is it true? Why is it true? Truth is what is e= vident, what can't be hidden, what must be observed, unlike a cup shut u= p in a cupboard. The fixed sheet is the level of our problem and the var= ying sheet is our metalevel from which we study it.= 14
		&nb= sp; Knowing

		&nb= sp; Game maker vs. Game player
		Game maker vs. Game pl= ayer 1679 = = Models for Systems Analysis &= nbsp; I presented our paper "Organizing Thoughts into= Sequences, Hierarchies and Networks" at a conference in Heidelberg in 1= 999. At that conference I think there was a talk about the different ki= nds of modeling systems being used, and how they might be used together = eclectically, heterogeneously. I created this diagram to show how they = might be organized by the six kinds of representations. Four of them co= rrespond to Whether-What-How-Why. The other two are representations in = terms of Observer and Thing, and may correspond to the branches of Belie= ve and Care, respectively.1704
		&nb= sp; Valuation
		Valuation = ; Giving and Taking are in sync when we Live As If We Were = All One Person. We can then substitute for ourselves with Valuation. S= uch a substitution (much like a model substituting for reality) takes pl= ace on four levels: Peace of mind (A decision substitutes for the decision maker.) Motivation (External motivation substitutes for internal motivation= .) Money (Compensation substitutes for disparity in contributions.) Humility (Autonomy substitutes for morality) In the case of "peace of mind", we conflate ourselves with our avatar, w= hich is to say, as decision maker we are one with our decisions. Wherea= s, in "humility", we divorce ourselves from our avatar. If people truly= want to hang themselves, or be fat, drunk, stupid, mean, sick, ugly, fi= lthy, destructive, uptight, hurtful, if they truly want that, then we'll= sell them the rope in whatever color they want. (Yes, I get stuck at th= at point. Perhaps I doubt if they are truly free.)<= a href=3D"http://t.co/ju1KSid#1101">1101
		&n= bsp; Experiments and Theory
		Experiments and Theory Experiments (specific instances)= and theory (general laws) are related as level and metalevel. There is= a dualism. But, actually, they are not qualitatively different. For a= n experiment is never a single instance, but always a set of instances, = for it must be reproducible. In that sense, every experiment has a gene= rality, just as a theory does. These two levels can be conflated, which= is how we view Reality, where the facts and the laws coincide. Or the = levels can be distinct to various degrees, and completely distinct when = the facts are considered to be applications of the rules. Andrius: Ther= e are four possible levels (Whether, What, How, Why) for relating facts = and rules, and there are six pairs of possible levels, with the wider le= vel reserved for the rules (the imagined observer) and the narrower leve= l reserved for the facts (the imagined observed). Analogously, in Math = we have the mathematical structures that describe (on paper) our problem= , and we have the mathematical structures that describe how our minds ar= e solving the problem. The two are conflated as Truth. They are distin= guished as Model, Implication and Variable. There are six kinds of vari= ables. In life, we have four ways of distinguishing the truths of the h= eart and the world, given by Whether, What, How, Why we know what we kno= w, and there are six ways that the two truths may be related. 853<= /p>
		= Feel moved

		&nb= sp;Truth: Whether it is true?
		Truth: Whether it is true? Truth: Whether it is true? The t= wo sheets may be conflated in which case we may interpret the problem as= statements that we ourselves are making which may be true or false and = potentially self-referential. Together they allow for proofs-by-contradi= ction where true and false are kept distinct in the level, whereas the m= etalevel is in a state of contradiction where all statements are both tr= ue and false. In my thinking, contradiction is the norm (the Godly all-t= hings-are-true) and non-contradiction is a very special case that takes = great effort, like segregating matter and anti-matter. Deep structure "s= olution spaces" allow us, as with Euclid's equilateral triangle, to step= away from the "solution" and consider the candidate solutions, indeed, = the failed solutions.61 = ; Argument by contradiction = ; Instead of directly trying to prove = something, we start by assuming that it is false, and show that this ass= umption leads us to an absurd conclusion. A contradiction argument is us= ually helpful for proving directly that something cannot happen. ... Whe= n you begin thinking about a problem, it is always worth asking, What ha= ppens if we negate the conclusion? Will we have something that is easier= to work with? If the answer is "yes", then try arguing by contradiction= . pg.46, The Art and Craft of Problem Solving, Paul Zeitz, 1999, Joh= n Wiley & Sons, Inc.1439 = ; Squa= re root of 2 is not rational = A classic example of proof by contradiction. pg.46, The Art and = Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1438 = = Dropping the la= w of excluded middle Edw= ard Cherlin, 2011.04.05: Yale Professor Fred B. Fitch's book, Symbolic L= ogic presents a system of logic that can be proven consistent. Dropping = the law of Excluded Middle was essential to the construction. G=C3=B6de= l's theorem depends on Excluded Middle, so it doesn't apply to this proo= f of consistency. If R is the set of all sets that are not members of t= hemselves (with further precision required that does not concern us here= ), then R is a member of R if and only if R is not a member of R. In the= presence of Excluded Middle, this results in contradiction. In its abse= nce, it is merely undecidable both in terms of provability and of truth.= = 992<= /p>
		= Feel - Implicitly Innovate
		Feel - Implicitly Inno= vate 185 = Bodystorming &nb= sp; sense what might work in the real world 372 = Mood Board = ; capture the feel of an idea 374 = Synesthesia &nbs= p; appreciate visceral, memorable aspects 373
		= Knowing whether
		Knowing whether = ; Knowing Whether one knows, through our feelings. Car= ing about Carer. Listen to my feelings, whether I am riled or at peace, = and why I feel that way. The person who is riled is wrong! I used to be= very bothered when I engaged the homeless. It was because I focused on = the truth "my help can make things worse" as if that were the truth of t= he heart, the truth that I should be thinking. 49 Confronting my own outlook <= /i> 1593 = Doubt myself &= nbsp; Conversing with: self-understanding Sometime I learn b= y being open to doubt and responding to it. In eighth grade or so, at L= ithuanian Saturday school, the priest who taught us religion asked me an= d others if we might become priests. I didn't feel such a desire, but I= asked myself, why shouldn't I become a priest? This had me think throu= gh my reasons: I knew what I wanted to do with my life, and I didn't wan= t to hand over my freedom; I didn't want to do what priests mainly do, w= hich is to distribute the sacraments; I didn't think that Jesus would be= a priest, but rather an ordinary person so as to make clear where true = authority resides; I wanted to be open to having a sweetheart, marrying = her and raising a family. As a grad student, I wondered, how do I know = that I'm not gay? Especially if I find some men handsome? I took up thi= s question and explained to myself that I myself had no interest in bein= g gay, and no interest in dwelling on men, handsome or otherwise.718 = Pondering my own legends &= nbsp; Conversing with: freedom As a child, certa= in mental events became reference points. The most significant was enga= ging God to let me think freely that I might pursue my quest to know eve= rything. Another was in third grade, the day we came back to school fro= m summer. A girl, Rachael Baca, was running around the field in new boo= ts. She was kicking me, as if it was a way to show that she liked me. = I wasn't interested. I told God, so this is what girls are all about? I= don't want to be any part of this. God said, really? I said, yes, it's= not sensible. But then, I thought, I was too harsh, too hurried. Mayb= e some day I will want to fall in love and have a family? So I told God= , not for the next ten years, until I'm seventeen. But I wasn't sure if= God heard that, if he and I hadn't already sealed my fate. As it turne= d out, for at least ten years, and more than that, I was completely inca= pable of talking to girls, but would regularly fall in love. I thought = I was cursed. Perhaps in seventh grade, I told God that there was one re= ward I would ask for figuring everything out, and that was to have a swe= etheart, the most wonderful, beautiful, good and true woman in the world= . He asked, do you want her to be your companion in your work? And I sa= id, no, I can do that myself. I just wanted to enjoy her. Truly, when = I finished my quest to know everything, at the age of 44, I found her ri= ght away! It was if I could look at life and people differently. I am = blessed. It was a long wait, but I'm glad.784 = Turn a question on its head&nbs= p; Conversing with: circumstances Given a = question, such as, Why is there evil? I may invert it, assume "there is = evil" and ask, What does that say about God? Rather than pretend that t= here is no evil, or that it only appears to be evil, or presume that God= is good, I allow myself to think more simply that God isn't primarily c= oncerned with evil, that God wants absolutely all of the good, and is wi= lling to allow for evil if that's what it takes to include every least b= it of good. In this way, I can say that there is some good that comes w= ith evil, yet there is other good that need not, and so evil is not nece= ssary in general.770 = Vouch for my beliefs with my own life<= /span> Conversing with: my rightness= As I developed the good will exercises, I wanted to learn from other pe= ople's experiences, and I wanted to foster a shared culture. But I thou= ght it would be wrong to lead people to do what I wouldn't do myself. T= hat would be to abuse them. So I've always looked to experiment on my o= wn life, and especially in spiritual matters, to vouch for my beliefs wi= th my own life. That helps me be in touch with my own beliefs.647 Tuning in to my feelings Conv= ersing with: I 560 = Clarify assumptions = Conversing with: question In replying to a doub= t with a counterquestion, I am opening myself to consider and clarify my= assumptions.64= 8 = ; Feeling good before God &= nbsp; When I wrestle with how to make a living,= and I don't know how to think that through, so that even my blood press= ure feels high, then I listen especially, what God wants me to do. And = when I hear from God, as I do, and take up in my heart what he would hav= e me do, then I feel a great energy of goodness and freedom that overcom= es my anxiety. I hold on to that good feeling and it makes me feel that= everything will be fine if I am true to God. As I do related work, I f= eel elated.123= 4 = How I feel &nb= sp; Conversing with: myself Sometimes, when I feel pressured= by life, I ask myself, What do I truly want? and that helps guide me.710 = Riled is wrong = ; Conversing with: my own peace In doing the good will= exercises, I concluded that I and others who feel riled are actually th= inking wrongly. We have been living from the truth of the world instead= of the truth of the heart. We confused the two. I suppose that is why= people are suspicious of others who speak agitatedly, but receptive of = those who speak calmly.671
		= Gut feeling

		&n= bsp;Argue the other side
		Argue the other side Ask your friend to identify an issue about which he or she has stro= ng feelings. Ask your friend to state his or her position on the issue a= nd to defend tat position with argumentation. ... ask him or her to make= the opposite case. ... Most people can't do it effectively; some can't = do it at all and become quite upset when asked to. They are so focused o= n their interpretation of the issue that they cannot adequately articula= te the other side (or sides). = The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2134 = ; Devil's Advocacy = Learned churchmen took the devil's position simply for argument's sake t= o challenge the rationale presented in the nomination for sainthood, the= idea being that through this process the truth, perforce, would out. ..= . challenge the proposition not because they disbelieve it but simply to= test its validity. Devil's advocacy does this by seeking, with either t= he same or other evidence, to prove the opposite of whatever the challen= ged view holds. ... Devil's advocacy is analytically useful because it b= y design focuses on a contrary or opposite viewpoint and in doing so act= ivates all of the instinctive behaviors associated with focusing: viewin= g the problem one-dimensionally through the lens of biases connected wit= h that viewpoint; eschewing alternative solutions; valuing evidence that= supports that viewpoint; devaluing and discarding evidence that does no= t. Devil's advocacy thus engages the very same mental tactics employed b= y the primary advocate but applies them in opposition, thereby promoting= objectivity. What's more, the devil's advocate goes a step further by s= eeking out and obtaining new evidence, evidence about which the prime ad= vocate has no knowledge or curiosity or that was disbelieved and discred= ited. This further step is the secret weapon of devil's advocacy, the ex= tra dimension that makes it a formidable analytic technique. ... Devil's= advocacy will ... open your mind to new dimensions and perceptions of t= he problem, poking holes in fallacious self-serving arguments and stripp= ing away thinly reasoned and thinly supported analysis. The Thinker's Toolkit by Morgan D.Jones1775 = ; Keep distinct the advocate and decision maker = The hallmark of focusing is the revered hum= an institution of advocacy - taking a position on an issure, marshaling = supporting evidence, and defending that position against the arguments o= f those holding (focusing on) opposing views. ... advocacy works. It is = ... the foundation of our judicial system, in which the prosecution pros= ecutes, the defense defends, and neither side does both. ... So advocacy= does work, when someone other than the advocator makes the decision - s= uch as a judge or a jury, the electorate, the board of directors, or the= boss, whoever that might be. But ... advocacy feeds and perpetuates our= mind-sets, biases, beliefs, and prejudices. It thus nurtures our tenden= cy to focus and, in doing so, defeats objectivity ... our full understan= ding of the problem. = The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2135 = ; Let go of untrue beliefs = We let go of untrue beliefs by seeking the truth. We tend to cl= ing to untrue beliefs in the face of contradictory evidence. ... many of= our most cherished individual beliefs, upon careful examination, are si= mply untrue ... we tend to hold fast to these beliefs in the very face o= f incontrovertible contradictory evidence ... We simply rationalize away= the disparity. ... Robert Abelson offers compelling insight. He contend= s that we humans treat belief like material possessions. We acquire and = retain material possessions because of the functions they serve and the = value they offer. ... our possessions make us feel good ... he notes the= similarity between beliefs and possessions is revealed in our language.= We have beliefs. We adopt, inherit, acquire, hold, and cling to them. = The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2136
		= Peace of mind

		&nb= sp; My state of mind
		My state of mind = 138 = How I feel &nb= sp; 435 = My state of mind &nb= sp; 492 = Pray with my music &= nbsp; 389 = Recognizing how I was moved&nbs= p; 398 = Reflecting on my mindset &= nbsp; 422 = Something feels right or not&nb= sp; 399 = Something was missing &nbs= p; 423 = What I like &n= bsp; 413 = What is touching me = 436
		= Do not take away their freedom
		Do not take away their f= reedom Jesus does not speak = plainly to those who don't believe so as not to take away their freedom = to not believe. Others accept Jesus' word and testify to it and so can d= eclare it to others for they believe of their own. Whereas perhaps Jesus= believes because he was sent by the Father and he obeyed the Father. Je= sus believes the Father because he has seen the Father; blessed are thos= e who believe without having seen.1343 Distinguish what they say and do &nbs= p; 2030= = ; Distinguish between what people say= and do Matthew 23:1 The= n Jesus spoke to the multitudes and to his disciples, 23:2 saying, "The = scribes and the Pharisees sat on Moses' seat. 23:3 All things therefore = whatever they tell you to observe, observe and do, but don't do their wo= rks; for they say, and don't do.1547 = ; Does the outside match the inside?<= /a> Matthew 7:15 "Beware of = false prophets, who come to you in sheep's clothing, but inwardly are ra= vening wolves.= 1488 = ; How things appear on the inside an= d the outside Matthew 23= :27 "Woe to you, scribes and Pharisees, hypocrites! For you are like whi= tened tombs, which outwardly appear beautiful, but inwardly are full of = dead men's bones, and of all uncleanness. 23:28 Even so you also outward= ly appear righteous to men, but inwardly you are full of hypocrisy and i= niquity. 1561<= /a> = ; Whose seat they sat on?&= nbsp; What does it mean, to sit in Moses'= seat? Matthew 23:1 Then Jesus spoke to the multitudes and to his discip= les, 23:2 saying, "The scribes and the Pharisees sat on Moses' seat. 23:= 3 All things therefore whatever they tell you to observe, observe and do= , but don't do their works; for they say, and don't do.1548 Jesus speaks so they are free to understand or not &nbs= p; 2029 = ; How can I show my authority? without= forcing belief? By havi= ng the force of character to heal the paralytic, Jesus suggests that he = has the strength of character to forgive him as well. People who believ= e his character can appreciate his personal ability to personally forgiv= e. (Why a personal Jesus is relevant). People who don't believe can thi= nk that he's referring to a divine mystical authority and not acknowledg= e his person. Matthew 9:5 For which is easier, to say, 'Your sins are fo= rgiven;' or to say, 'Get up, and walk?' 9:6 But that you may know that t= he Son of Man has authority on earth to forgive sins..." (then he said t= o the paralytic), "Get up, and take up your mat, and go up to your house= ." 1658 = ; Jesus wanted people to understand him o= f their own Matthew 11:1= 5 He who has ears to hear, let him hear. Luke 8:8 As he said these thing= s, he called out, "He who has ears to hear, let him hear!"1370 = ; People are free to not believe Luke 18:1 He also spoke a parab= le to them that they must always pray, and not give up, 18:2 saying, "Th= ere was a judge in a certain city who didn't fear God, and didn't respec= t man. 18:3 A widow was in that city, and she often came to him, saying,= 'Defend me from my adversary!' 18:4 He wouldn't for a while, but afterw= ard he said to himself, 'Though I neither fear God, nor respect man, 18:= 5 yet because this widow bothers me, I will defend her, or else she will= wear me out by her continual coming.'" 18:6 The Lord said, "Listen to w= hat the unrighteous judge says. 18:7 Won't God avenge his chosen ones, w= ho are crying out to him day and night, and yet he exercises patience wi= th them? 18:8 I tell you that he will avenge them quickly. Nevertheless,= when the Son of Man comes, will he find faith on the earth?"2061 = ; Speaking in parables&nb= sp; Jesus spoke in parables so that peopl= e would be free to understand him or not, as they themselves chose. He = does not force them to understand, and thus to believe, which would be t= he case if he spoke clearly. Thus he speaks plainly to those who alread= y believe. Matthew 13:10 The disciples came, and said to him, "Why do yo= u speak to them in parables?" 13:11 He answered them, "To you it is give= n to know the mysteries of the Kingdom of Heaven, but it is not given to= them. 13:12 For whoever has, to him will be given, and he will have abu= ndance, but whoever doesn't have, from him will be taken away even that = which he has. 13:13 Therefore I speak to them in parables, because seein= g they don't see, and hearing, they don't hear, neither do they understa= nd. 13:14 In them the prophecy of Isaiah is fulfilled, which says, 'By h= earing you will hear, and will in no way understand; Seeing you will see= , and will in no way perceive: 13:15 for this people's heart has grown c= allous, their ears are dull of hearing, they have closed their eyes; or = else perhaps they might perceive with their eyes, hear with their ears, = understand with their heart, and should turn again; and I would heal the= m.' 13:16 "But blessed are your eyes, for they see; and your ears, for t= hey hear. 13:17 For most certainly I tell you that many prophets and rig= hteous men desired to see the things which you see, and didn't see them;= and to hear the things which you hear, and didn't hear them.1237 = ; Who to be related to&nb= sp; Allow people to be doomed completely.= If they aren't interested, let them go. Matthew 10:14 Whoever doesn't r= eceive you, nor hear your words, as you go out of that house or that cit= y, shake off the dust from your feet. 10:15 Most certainly I tell you, i= t will be more tolerable for the land of Sodom and Gomorrah in the day o= f judgment than for that city. 1786 = ; Who to give peace to&nb= sp; Peace is invasive, apparently. It sho= uldn't be forced upon others. Matthew 10:13 If the household is worthy, = let your peace come on it, but if it isn't worthy, let your peace return= to you.1785 Jesus thinks by analogy = 2028 = ; Analogy and ambiguity of physical a= nd spiritual health I th= ink that Jesus' miracles of healing allowed him to refer ambiguously to = physical and spiritual health, as with "seeing" and "hearing", "walking"= and "raising of the dead", which can be taken physically or spiritually= . Matthew 11:2 Now when John heard in the prison the works of Christ, h= e sent two of his disciples 11:3 and said to him, "Are you he who comes,= or should we look for another?" 11:4 Jesus answered them, "Go and tell = John the things which you hear and see: 11:5 the blind receive their sig= ht, the lame walk, the lepers are cleansed, the deaf hear, the dead are = raised up, and the poor have good news preached to them. 11:6 Blessed is= he who finds no occasion for stumbling in me." 1824 = ; Analogy from human nature&n= bsp; Mark 12:9 What therefore will the lo= rd of the vineyard do? He will come and destroy the farmers, and will gi= ve the vineyard to others.1396 = ; Analogy with children's ways Matthew 11:16 "But to what sh= all I compare this generation? It is like children sitting in the market= places, who call to their companions 11:17 and say, 'We played the flute= for you, and you didn't dance. We mourned for you, and you didn't lamen= t.' 1860 = ; Analogy with society &= nbsp; Luke 18:1 He also spoke a parable to them= that they must always pray, and not give up, 18:2 saying, "There was a = judge in a certain city who didn't fear God, and didn't respect man. 18:= 3 A widow was in that city, and she often came to him, saying, 'Defend m= e from my adversary!' 18:4 He wouldn't for a while, but afterward he sai= d to himself, 'Though I neither fear God, nor respect man, 18:5 yet beca= use this widow bothers me, I will defend her, or else she will wear me o= ut by her continual coming.'" 18:6 The Lord said, "Listen to what the un= righteous judge says. 18:7 Won't God avenge his chosen ones, who are cry= ing out to him day and night, and yet he exercises patience with them? 1= 8:8 I tell you that he will avenge them quickly. Nevertheless, when the = Son of Man comes, will he find faith on the earth?"= 2058 = ; Analogy with the law&nbs= p; Matthew 12:1 At that time, Jesus went = on the Sabbath day through the grain fields. His disciples were hungry a= nd began to pluck heads of grain and to eat. 12:2 But the Pharisees, whe= n they saw it, said to him, "Behold, your disciples do what is not lawfu= l to do on the Sabbath." 12:3 But he said to them, "Haven't you read wha= t David did, when he was hungry, and those who were with him; 12:4 how h= e entered into God's house, and ate the show bread, which was not lawful= for him to eat, neither for those who were with him, but only for the p= riests? 12:5 Or have you not read in the law, that on the Sabbath day, t= he priests in the temple profane the Sabbath, and are guiltless? 12:6 Bu= t I tell you that one greater than the temple is here.1928 = ; Analogy with the natural world<= /span> Matthew 6:25 Therefore I tel= l you, don't be anxious for your life: what you will eat, or what you wi= ll drink; nor yet for your body, what you will wear. Isn't life more tha= n food, and the body more than clothing? 6:26 See the birds of the sky, = that they don't sow, neither do they reap, nor gather into barns. Your h= eavenly Father feeds them. Aren't you of much more value than they? 1451 = ; Foxe= s have holes and birds have nests 8:20 Jesus said to him, "The foxes have holes, and the birds of th= e sky have nests, but the Son of Man has nowhere to lay his head." 1616 = = ; Li= lies of the field Matthe= w 6:28 Why are you anxious about clothing? Consider the lilies of the fi= eld, how they grow. They don't toil, neither do they spin, 6:29 yet I te= ll you that even Solomon in all his glory was not dressed like one of th= ese. 6:30 But if God so clothes the grass of the field, which today exis= ts, and tomorrow is thrown into the oven, won't he much more clothe you,= you of little faith? 1455 = ; Analogy with the unrighteous world= Luke 18:1 He also spoke a p= arable to them that they must always pray, and not give up, 18:2 saying,= "There was a judge in a certain city who didn't fear God, and didn't re= spect man. 18:3 A widow was in that city, and she often came to him, say= ing, 'Defend me from my adversary!' 18:4 He wouldn't for a while, but af= terward he said to himself, 'Though I neither fear God, nor respect man,= 18:5 yet because this widow bothers me, I will defend her, or else she = will wear me out by her continual coming.'" 18:6 The Lord said, "Listen = to what the unrighteous judge says. 18:7 Won't God avenge his chosen one= s, who are crying out to him day and night, and yet he exercises patienc= e with them? 18:8 I tell you that he will avenge them quickly. Neverthel= ess, when the Son of Man comes, will he find faith on the earth?"2059 = ; Looking for comparisons= Matthew 11:16 "But to what shall I= compare this generation? 1861 = ; Social rules as models for general = rules Matthew 9:14 Then = John's disciples came to him, saying, "Why do we and the Pharisees fast = often, but your disciples don't fast?" 9:15 Jesus said to them, "Can the= friends of the bridegroom mourn, as long as the bridegroom is with them= ? But the days will come when the bridegroom will be taken away from the= m, and then they will fast.1722 Miracles allow for belief and unbelief &nbs= p; 2033 = ; How they figure things out The sayings seem arbitrary as th= e same word is used for red with different results. Matthew 16:1 The Ph= arisees and Sadducees came, and testing him, asked him to show them a si= gn from heaven. 16:2 But he answered them, "When it is evening, you say,= 'It will be fair weather, for the sky is red.' 16:3 In the morning, 'It= will be foul weather today, for the sky is red and threatening.' Hypocr= ites! You know how to discern the appearance of the sky, but you can't d= iscern the signs of the times! 16:4 An evil and adulterous generation se= eks after a sign, and there will be no sign given to it, except the sign= of the prophet Jonah."1995 = ; Miracles &= nbsp; It seems that Jesus did miracles so that people would= be able to not understand his goodness, would be attracted to hear him = but need not understand him. I and others might think, "I would do mira= cles, too, if I had such powers," and not appreciate that if we had such= powers, then we might do very nasty things, or selfish things, or not a= pply ourselves. We don't appreciate the care with which Jesus did his m= iracles, that his goodness was not what he did, but how and why he did i= t.1356 = ; What sign will he give&n= bsp; Matthew 16:1 The Pharisees and Saddu= cees came, and testing him, asked him to show them a sign from heaven. 1= 6:2 But he answered them, "When it is evening, you say, 'It will be fair= weather, for the sky is red.' 16:3 In the morning, 'It will be foul wea= ther today, for the sky is red and threatening.' Hypocrites! You know ho= w to discern the appearance of the sky, but you can't discern the signs = of the times! 16:4 An evil and adulterous generation seeks after a sign,= and there will be no sign given to it, except the sign of the prophet J= onah."1994= What distinguishes the cultures = ; 2032<= /a> = ; Born of woman vs. born of spirit Matthew 11:11 Most certai= nly I tell you, among those who are born of women there has not arisen a= nyone greater than John the Baptizer; yet he who is least in the Kingdom= of Heaven is greater than he. 1856 = ; Distinguish foretelling and establ= ishing Jesus came to est= ablish, to put into place, to fate, not to foretell or warn or heighten = free will. Matthew 11:13 For all the prophets and the law prophesied unt= il John.1857 = ; Do people and Jesus truly know each= other? Matthew 7:22 Man= y will tell me in that day, 'Lord, Lord, didn't we prophesy in your name= , in your name cast out demons, and in your name do many mighty works?' = 7:23 Then I will tell them, 'I never knew you. Depart from me, you who w= ork iniquity.' 1493 = ; Do they want their works to be seen= by men or by God? Matth= ew 23:5 But all their works they do to be seen by men. They make their p= hylacteries broad, enlarge the fringes of their garments, 23:6 and love = the place of honor at feasts, the best seats in the synagogues, 23:7 the= salutations in the marketplaces, and to be called 'Rabbi, Rabbi' by men= . 1550 = ; Do what I say and you are unshakeable<= /a> Luke 6:46 "Why do you ca= ll me, 'Lord, Lord,' and don't do the things which I say? 6:47 Everyone = who comes to me, and hears my words, and does them, I will show you who = he is like. 6:48 He is like a man building a house, who dug and went dee= p, and laid a foundation on the rock. When a flood arose, the stream bro= ke against that house, and could not shake it, because it was founded on= the rock. 6:49 But he who hears, and doesn't do, is like a man who buil= t a house on the earth without a foundation, against which the stream br= oke, and immediately it fell, and the ruin of that house was great."1361 = ; How to receive the Kingdom of God= Children and fools don't li= ve by experience. Luke 18:15 They were also bringing their babies to hi= m, that he might touch them. But when the disciples saw it, they rebuked= them. 18:16 Jesus summoned them, saying, "Allow the little children to = come to me, and don't hinder them, for the Kingdom of God belongs to suc= h as these. 18:17 Most certainly, I tell you, whoever doesn't receive th= e Kingdom of God like a little child, he will in no way enter into it."<= span class=3D"mazi">2064= = ; Identifying himself as born of spi= rit, not born of woman J= esus is important as a person born of spirit, not of woman. John the Ba= ptizer is more impressive than Jesus as a person born of woman. 11:11 Mo= st certainly I tell you, among those who are born of women there has not= arisen anyone greater than John the Baptizer; yet he who is least in th= e Kingdom of Heaven is greater than he.1858 = ; What distinguishes the ways to life= and to destruction? The= gate of "belief" leads to life; the gate of "caring" leads to destructi= on. We can distinguish the gates by seeing who goes through them. Matth= ew 7:13 "Enter in by the narrow gate; for wide is the gate and broad is = the way that leads to destruction, and many are those who enter in by it= . 7:14 How narrow is the gate, and restricted is the way that leads to l= ife! Few are those who find it. 1485 = ; What happens to those who listen to= Jesus? Matthew 7:24 "Ev= eryone therefore who hears these words of mine, and does them, I will li= ken him to a wise man, who built his house on a rock. 7:25 The rain came= down, the floods came, and the winds blew, and beat on that house; and = it didn't fall, for it was founded on the rock. 7:26 Everyone who hears = these words of mine, and doesn't do them will be like a foolish man, who= built his house on the sand. 7:27 The rain came down, the floods came, = and the winds blew, and beat on that house; and it fell=E2=80=94and grea= t was its fall." 1495 = ; What is the difference between cul= tures? Matthew 10:16 "Be= hold, I send you out as sheep in the midst of wolves. 1787 = ; Who do disciples say that I am? Matthew 16:15 He said to t= hem, "But who do you say that I am?" 16:16 Simon Peter answered, "You ar= e the Christ, the Son of the living God." 16:17 Jesus answered him, "Ble= ssed are you, Simon Bar Jonah, for flesh and blood has not revealed this= to you, but my Father who is in heaven. 1997 = ; Who do people say that I am? Matthew 16:13 Now when Jesus = came into the parts of Caesarea Philippi, he asked his disciples, saying= , "Who do men say that I, the Son of Man, am?" 16:14 They said, "Some sa= y John the Baptizer, some, Elijah, and others, Jeremiah, or one of the p= rophets."1996<= /a> What his disciples should not yet tell others &nb= sp; 2031 = ; Confiding = How do we know of the devil's temptation of Jesus? T= here were no witnesses except for Jesus himself. The Holy Spirit may ha= ve informed the evangelists or Jesus may have told his disciples himself= . If they were to know, then it seems that he might as well have told t= hem himself. Why would he then tell about the temptations? Perhaps to s= ay that they were the "down-to-earth" salt of the earth that he had chos= en, that it was he who needed them. Jesus also seems to have confided m= uch to John, his best friend, who seems to present Jesus' point of view = as Jesus understood himself.1355 = ; Telling only his disciples Matthew 16:20 Then he commanded= the disciples that they should tell no one that he was Jesus the Christ= . 1330 = ; Who should know &= nbsp; Matthew 16:20 Then he commanded the disci= ples that they should tell no one that he was Jesus the Christ. 16:21 Fr= om that time, Jesus began to show his disciples that he must go to Jerus= alem and suffer many things from the elders, chief priests, and scribes,= and be killed, and the third day be raised up.2000
		&nb= sp;Model: What is true?
	=	Model: What is true? &nbs= p; The metalevel may simplify the problem at th= e level. Such a relationship may develop over stages of "wishful thinkin= g" so that the metalevel illustrates the core of the problem. Ultimately= , the metalevel gives the solution's deep structure and the level gives = the problem's surface structure. 62 = ; A ri= ght triangle is half a rectangle = This morphism is the basis for the area of a right triangle, but al= so for all of trigonometry, and shows that a function need not be a form= ula, and shows how two domains - angles and ratios - can be linked, as b= y shapes. Gospel Math. 1846 = ; Reca= sting geometry/combinatorics as parity &nb= sp; Remove the two diagonally opposite corner squares of a che= ssboard. Is it possible to tile this shape with thirty-one 2 x 1 "domino= s"? ... At first, it seems like a geometric/combinatorial problem with m= any cases and subcases. But it is really just a question about counting = colors. The two corners that were removed wre both (without loss of gene= rality) white, so the shape we are interested in contains 32 black and 3= 0 white squares. Yet any domino, once it is placed, will occupy exactly = one black and one white square. The 31 dominos thus require 31 black and= 31 white squares, so tiling is impossible. pg. 60 The Art and Craft= of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1508 = ; Deliberately misleading presentation<= /span> Three women check into a = motel room which advertises a rate of $27 per night. They each give $10 = to the porter, and ask her to bring back 3 dollar bills. The porter retu= rns to the desk, where she learns that the room is actually only $25 per= night. She gives $25 to the motel desk clerk, returns to the room, and = gives the guests back each one dollar, deciding not to tell them about t= he actual rate. Thus the porter has pocketed $2, while each guest spent= 10-1 =3D $9, a total of 2 + 3 x 9 =3D $29. What happened to the other d= ollar? ... This problem is deliberately trying to mislead the reader int= o thinking that the profit that the porter makes plus the amount that th= e guests spend should add up to $30. pg. 22, 102, The Art and Craf= t of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1648 = ; Interpreting algebraic variables as c= oordinates Whenever a pro= blem involves several algebraic variables, it is worth pondering whether= some of them can be interpreted as coordinates. pg. 59 The Art and= Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1505 = ; Recast a problem from one domain into= another domain The power= ful idea of converting a problem from words to pictures is just one aspe= ct of the fundamental peripheral vision strategy. Open your mind to oth= er ways of reinterpreting problems. ... what appeared to be a sequence o= f numbers was actually a sequence of descriptions of numbers ... Another= example was the locker problem in which a combinatorial problem metamor= phosed into a number theory lemma. "Combinatorics <=3D> Number Theory" = is one of the most popular and productive such "crossovers", but there a= re many other possibilities. Some of the most spectacular advances in m= athematics occur when someone discovers a new reformulation for the firs= t time. pg. 60 The Art and Craft of Problem Solving, Paul Zeitz, 199= 9, John Wiley & Sons, Inc.1507 = ; Recasting geometry as algebra&= nbsp; Descartes' idea of recasting geo= metric questions in a numeric/algebraic form led to the development of a= nalytic geometry, which then led to calculus. pg. 60 The Art and Cr= aft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1506 = Structural equiva= lence Edward Cherlin: Proving that two seemingly unrelated, even apparently incompatible obje= cts are equivalent in some way, or can model each other, is one of the d= eepest ideas in math.813 = Brouwer's Intuitionistic logic and set theory= Edward Cherlin: Mathematicians = lost interest in Brouwer's Intuitionistic logic and set theory when it w= as shown that it and the more usual non-constructive logics and set theo= ries can model each other. 817<= /p> = Equivalence of geometries &n= bsp; Edward Cherlin: The fact that each of elliptic/Riem= annian, Euclidean, and hyperbolic/Lobachevskian geometries contain model= s of each other shows that all three are equally valid. For example, a C= lifford's surface in Riemannian space and a horosphere in Lobachevskian = space both have locally Euclidean geometry. 816<= /p> = Galo= is theory Galois theory = maps the roots of a given polynomial equation (in field theory) to the G= alois group of permutations of the roots. 818<= /p> = String theories are maps of each other &= nbsp; Edward Cherlin: At one time it was tho= ught that there was a vast space of possible String Theories in physics.= It turns out that all of them are maps of each other. 815<= /p> = Taniyama-Shimura Theorem &nb= sp; Edward Cherlin: The proof of Fermat's Last Theorem d= epends on the Taniyama-Shimura Theorem that all elliptic functions are m= odular, that is, that there is a structure-preserving mapping between elliptic functions and modular= forms. 814<= /p> Make it easier The easi= er problem may actually be the more informative, relevant, natural, inst= ructive problem. If the given problem is too hard, solve an easier o= ne. ... For example, if the problems involves big, ugly numbers, make th= em small and pretty. If a problem involves complicated algebraic fractio= ns or radicals, try looking at a similar problem without such terms. At = best, pretending that the difficulty isn't there will lead to a bold sol= ution... At worst, you will be forced to focus on the key difficulty of = your problem, and possibly formulate an intermediate question, whose ans= wer will help you with the problem at hand. And eliminating the hard pa= rt of a problem, even temporarily, will allow you to have some fun and r= aise your confidence. pg.18, 31 The Art and Craft of Problem Solving= , Paul Zeitz, 1999, John Wiley & Sons, Inc.1417 = ; Wishful thinking &= nbsp; It is helfpul to try to loosen up, and= not worry about rules or constraints. Wishful thinking is always fun, = and often useful. For example, in this problem, the main difficulty is = that the top boxes labeled A and C are in the "wrong" places. So why no= t move them around to make the problem trivially easy? ... Ask yourself,= "What is it about the problem that makes it hard?" Then, make the diffi= culty disappear! You may not be able to do this legally, but who cares? = Temporarily avoiding the hard part of a problem will allow you to make p= rogress and may shed light on the difficulties. pg.18, 31 The Art an= d Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1416
		= Agree - Implicitly Understand
	Agree - Implicitly = Understand 174 = Campfire &= nbsp;learn from stories, share culture 334 = Graphic Jam &nbs= p; visualize abstract concepts, absorb complexity 332 = History Map &nbs= p; appreciate relevance of organization's culture 331 = Memory Wall &nbs= p; appreciate people, foster team 329 = Visual Glossary = create a shared language 330 = Welcome to My World &nb= sp; share our internal map of reality 333
		= Knowing what

		= Origin
		Origin 1681 = Apply constructs of source domain to t= arget domain George Lako= ff and Mark Johnson describe how a metaphor allows us to apply the const= ructs of a source domain (such as WAR) to a new, target domain (such as = ARGUMENT). ...This is an example of what it means for a metaphorical = concept, namely, ARGUMENT IS WAR, to structure (at least in part) what w= e do and how we understand what we are doing when we argue. The esse= nce of metaphor is understanding and experiencing one kind of thing in t= erms of another. It is not that arguments are a subspecies of war. Ar= guments and wars are different kinds of things - verbal discourse and ar= med conflict - and the actions performed are different kinds of actions.= But ARGUMENT is partially structured, understood, performed and talked = about in terms of WAR. The concept is metaphorically structured, the ac= tivity is metaphorically structured, and, consequently, the language is = metaphorically structured. Moreover, this is the ordinary way of= having an argument and talking about one. From Chapter 1, Concepts = We Live By, of Metaphors We Live By, by George Lakoff and Mark Johnson, = The University of Chicago, 1980 Tikslinti #803805 = ; Ask people why <= /i> Why did County patients tolerate these waits and abusive conditio= ns? Our patients declared that they came because County had "the best do= ctors." This was not true. There is no way we were the best. We were you= ng, uninitiated, and worse, unsupervised. But many of our patients had b= een turned away from other institutions or had family or friends with th= e same experience "County: Life, Death and Politics at Chicago's Pu= blic Hospital" by David Ansell M.D. Copyright 2011, David Ansell M.D. Pu= blished by Academy Chicago Publishers. All Rights Reserved. Health. Chic= ago.19341946 = ; How can we tie communi= cation firmly into context? <= /i> Pamela McLean, June 10, 2011. Maybe that is why we need story tel= ling (and pattern languages) in our post-web world - so that communicati= on is tied firmly into context through anecdotes.1837 = ; The beauty of a role model &n= bsp; Fresh Air interview of boxer Sugar Ray Leonard, June 6, 2011= : "I watched Muhammad Ali, how when he would speak, how it was such a= thing of beauty. It sounded so wonderful. And I wanted to be like him."= 1884 = ; What allows generaliza= tions to work effectively? Pamela McLean, June 10, 2011. Maybe generalisations only work effe= ctively when people are living in the same cultural groups or working in= the same silos.* 1838* Identifying with a larger equivalent &= nbsp; Socrates explores the human soul by identifying it with a c= ity.837
		&n= bsp;Fact and Judgment: Taxonomy of Problem Types
		Fact and Judgment: Taxonomy of Problem Type= s While problems come= in all varieties, shapes, and sizes, each can be categorized in terms o= f the roles that fact and judgment play in analysis of the problem. ... = there is an inverse relationship between the number of facts and the amo= unt of judgment required to solve a problem. ... the fewer facts we have= , the more judgment is required ... the more facts - the less judgment. = From this relationship we can define four basic types of problems: Simplistic: There is only one answer, no more. Who is the govern= or of New York? Deterministic: There is only one answer, but the correct formula mus= t be used. What is the area of a square whose side is 20 feet? Random: Different answers are possible, and all can be identified. = Which of the candidates will win the election? Indeterminate: Different answers are possible but are conjectural, s= o not all can be identified. What are the prospects for U.S.-Russian rel= ations? ...The greater the role of facts in analyzing a problem, the greater our= confidence in the findings of that analysis; the fewer facts, the less = confidence. ... As the role of judgment increases, so does the probabili= ty of error. Therefore, as the probability of error increases, our confi= dence in our conclusions must diminish. But the human mind does not will= ingly or usually lose confidence in its conclusions, no matter what the = circumstances ... cognitive experiments have shown that, even when the e= xplanation we come up with doesn't represent the evidence very well, we = use the explanation anyway and feel comfortable doing so. What's more, = we defend the explanation in the face of strong contrary evidence, which= we rebut with irrelevancies and sophistries. That's just how the human = mind works. The insight, then, is to be wary of conclusions that are bas= ed largely on judgment, not facts. The Thinke= r's Toolkit by Morgan D.Jones2110
		= Motivation (internal and external)
		Motivation (internal= and external) External moti= vation substitutes for internal motivation. What is valued.1077 = ; Compare how di= fferent systems work We = talked a long time about the difference between the two systems, Lithuan= ia and US, that the IRS gives priority to the facts at hand rather than = the documents, that they give people refunds based on what the people sa= y they are due (they could not believe this), and that people are audite= d typically once in their lifetime. 1018 = ; Recognizing th= e impact of external motivation = In junior high school and high school I and my brother played ac= tively in adult tournaments. The stronger tournaments were for money. Th= e money seemed to suggest a very different way of playing that was forei= gn to me and so I put it out of my mind. It seemed to interfere with the= idea of trying to go up against the best players rather than win a priz= e amongst the weaker players.1063 = ; Risk a relatio= nship for a chance to grow closer &nbs= p; I had believed that it was a bad idea to work for a friend or = relative as it could destroy our relationship which is much more preciou= s than any work. But then I had the chance to work for my friend John Ha= rland. And indeed there were times of stress but it really deepened our = friendship and I learned that much more what a wonderful person he is.1047<= /p>
		&nb= sp; Study	<= /td>
		= Study <= /i> 137 = Collect recordings and lyrics&n= bsp; 412 = Expand my interests = 409 = Listen to examples &= nbsp; 411 = Looking at different aspects of a subj= ect 405 = Study videos, concerts, services 388
		= The first will be last and the last will be f= irst
		The f= irst will be last and the last will be first &nb= sp; In this world, the truth of the world is prior to the t= ruth of the heart; but in peace, the truth of the heart is prior to the = truth of the world. Jesus may be relating the principle of reflectivity,= which changes the direction of the twosome, so that reflection switches= what is first and what is last. Thus we can never be certain, which wi= ll be first and which will be last, but must stay on our toes.1349 How God cares and judges 2036 = ; The = land of Galilee shall be exalted = ; Isaiah 9:1 But there shall be no more gloom for her who was in = anguish. In the former time, he brought into contempt the land of Zebulu= n and the land of Naphtali; but in the latter time he has made it glorio= us, by the way of the sea, beyond the Jordan, Galilee of the nations. 9= :2 The people who walked in darkness have seen a great light. Those who = lived in the land of the shadow of death, on them the light has shined. = 9:3 You have multiplied the nation. You have increased their joy.1956 = ; Believe that God hears you when you s= peak once Matthew 6:7 In pra= ying, don't use vain repetitions, as the Gentiles do; for they think tha= t they will be heard for their much speaking. 1431 = ; Children by heredity and by spirit wi= ll be distinguished Jesus di= stinguishes between the ethnic children and the spiritual children of th= e Jewish patriarchs. Spiritual childhood is perhaps the point of being = "born again". Matthew 8:11 I tell you that many will come from the east = and the west, and will sit down with Abraham, Isaac, and Jacob in the Ki= ngdom of Heaven, 8:12 but the children of the Kingdom will be thrown out= into the outer darkness. There will be weeping and gnashing of teeth.1607<= /p> = ; Consequence of general principle If we can serve only one m= aster, and that master is God, then God will provide for us, and we need= not be anxious. Matthew 6:24 "No one can serve two masters, for either= he will hate the one and love the other; or else he will be devoted to = one and despise the other. You can't serve both God and Mammon. 6:25 The= refore I tell you, don't be anxious for your life: what you will eat, or= what you will drink; nor yet for your body, what you will wear. Isn't l= ife more than food, and the body more than clothing? 6:26 See the birds = of the sky, that they don't sow, neither do they reap, nor gather into b= arns. Your heavenly Father feeds them. Aren't you of much more value tha= n they? 1449 = ; Correction of our self-conception<= /a> Matthew 23:12 Whoever ex= alts himself will be humbled, and whoever humbles himself will be exalte= d. 1557 = ; How would the Gentiles have reacte= d Matthew 11:20 Then he = began to denounce the cities in which most of his mighty works had been = done, because they didn't repent. 11:21 "Woe to you, Chorazin! Woe to yo= u, Bethsaida! For if the mighty works had been done in Tyre and Sidon wh= ich were done in you, they would have repented long ago in sackcloth and= ashes. 11:22 But I tell you, it will be more tolerable for Tyre and Sid= on on the day of judgment than for you. 11:23 You, Capernaum, who are ex= alted to heaven, you will go down to Hades. For if the mighty works had = been done in Sodom which were done in you, it would have remained until = this day. 11:24 But I tell you that it will be more tolerable for the la= nd of Sodom, on the day of judgment, than for you." = 1905 = ; Who is convinced of their own righteou= sness What is the differ= ence between faith in oneself and being convinced of one's own righteous= ness? What is the difference between praying to oneself and praying to = God? Luke 18:9 He spoke also this parable to certain people who were co= nvinced of their own righteousness, and who despised all others. 18:10 "= Two men went up into the temple to pray; one was a Pharisee, and the oth= er was a tax collector. 18:11 The Pharisee stood and prayed to himself l= ike this: 'God, I thank you, that I am not like the rest of men, extorti= oners, unrighteous, adulterers, or even like this tax collector. 18:12 I= fast twice a week. I give tithes of all that I get.' 18:13 But the tax = collector, standing far away, wouldn't even lift up his eyes to heaven, = but beat his breast, saying, 'God, be merciful to me, a sinner!' 18:14 I= tell you, this man went down to his house justified rather than the oth= er; for everyone who exalts himself will be humbled, but he who humbles = himself will be exalted."2063 = ; Why are you anxious?&nbs= p; Matthew 6:28 Why are you anxious about= clothing? Consider the lilies of the field, how they grow. They don't t= oil, neither do they spin, 6:29 yet I tell you that even Solomon in all = his glory was not dressed like one of these. 6:30 But if God so clothes = the grass of the field, which today exists, and tomorrow is thrown into = the oven, won't he much more clothe you, you of little faith? 1454 How will God reward 2035 = ; Distinguishing those who will lose and= those who will gain In = the passage below from Luke, which can be compared to the Sermon on the = Mount in Matthew, Jesus refers to the "poor" rather than the "poor-in-sp= irit", and the "Kingdom of God" rather than the "kingdom of heaven". It= reminds me of "the last will be first and the first will be list" as wi= th pop-up automata or climbing into and out of a bus. Luke 6:20 ... Bles= sed are you who are poor, for yours is the Kingdom of God. 6:21 Blessed = are you who hunger now, for you will be filled. Blessed are you who weep= now, for you will laugh. 6:22 Blessed are you when men shall hate you, = and when they shall exclude and mock you, and throw out your name as evi= l, for the Son of Man's sake. 6:23 Rejoice in that day, and leap for joy= , for behold, your reward is great in heaven, for their fathers did the = same thing to the prophets. 6:24 "But woe to you who are rich! For you h= ave received your consolation. 6:25 Woe to you, you who are full now, fo= r you will be hungry. Woe to you who laugh now, for you will mourn and w= eep. 6:26 Woe, when men speak well of you, for their fathers did the sam= e thing to the false prophets.1342 = ; Jesus wants to be rewarded by God Jesus often forbids his w= orks from being known. I imagine it is because he wants to be rewarded = by God, not by this world. Matthew 9:30 ... Jesus strictly commanded th= em, saying, "See that no one knows about this." 9:31 But they went out a= nd spread abroad his fame in all that land. 1731 = ; Reward is from the one who sees Matthew 6:17 But you, when you fa= st, anoint your head, and wash your face; 6:18 so that you are not seen = by men to be fasting, but by your Father who is in secret, and your Fath= er, who sees in secret, will reward you.1430 = ; Reward is that what is secret is made= open Matthew 6:5 "When you = pray, you shall not be as the hypocrites, for they love to stand and pra= y in the synagogues and in the corners of the streets, that they may be = seen by men. Most certainly, I tell you, they have received their reward= . 6:6 But you, when you pray, enter into your inner room, and having sh= ut your door, pray to your Father who is in secret, and your Father who = sees in secret will reward you openly. 1429 = ; Who decides what is fair Matthew 19:29 Everyone who has le= ft houses, or brothers, or sisters, or father, or mother, or wife, or ch= ildren, or lands, for my name's sake, will receive one hundred times, an= d will inherit eternal life. 19:30 But many will be last who are first; = and first who are last. 20:1 "For the Kingdom of Heaven is like a man wh= o was the master of a household, who went out early in the morning to hi= re laborers for his vineyard. 20:2 When he had agreed with the laborers = for a denarius a day, he sent them into his vineyard. 20:3 He went out a= bout the third hour, and saw others standing idle in the marketplace. 20= :4 To them he said, 'You also go into the vineyard, and whatever is righ= t I will give you.' So they went their way. 20:5 Again he went out about= the sixth and the ninth hour, and did likewise. 20:6 About the eleventh= hour he went out, and found others standing idle. He said to them, 'Why= do you stand here all day idle?' 20:7 "They said to him, 'Because no on= e has hired us.' "He said to them, 'You also go into the vineyard, and y= ou will receive whatever is right.' 20:8 When evening had come, the lord= of the vineyard said to his manager, 'Call the laborers and pay them th= eir wages, beginning from the last to the first.' 20:9 "When those who w= ere hired at about the eleventh hour came, they each received a denarius= . 20:10 When the first came, they supposed that they would receive more;= and they likewise each received a denarius. 20:11 When they received it= , they murmured against the master of the household, 20:12 saying, 'Thes= e last have spent one hour, and you have made them equal to us, who have= borne the burden of the day and the scorching heat!' 20:13 "But he answ= ered one of them, 'Friend, I am doing you no wrong. Didn't you agree wit= h me for a denarius? 20:14 Take that which is yours, and go your way. It= is my desire to give to this last just as much as to you. 20:15 Isn't i= t lawful for me to do what I want to with what I own? Or is your eye evi= l, because I am good?' 20:16 So the last will be first, and the first la= st. For many are called, but few are chosen."2011 = ; Who do people seek a reward from? Matthew 6:16 "Moreover when you= fast, don't be like the hypocrites, with sad faces. For they disfigure = their faces, that they may be seen by men to be fasting. Most certainly = I tell you, they have received their reward. 1595 What is first from which the rest follows &= nbsp; 2034 = ; What follows from what?&= nbsp; Matthew 6:31 "Therefore don't be an= xious, saying, 'What will we eat?', 'What will we drink?' or, 'With what= will we be clothed?' 6:32 For the Gentiles seek after all these things;= for your heavenly Father knows that you need all these things. 6:33 But= seek first God's Kingdom, and his righteousness; and all these things w= ill be given to you as well. 1461 = ; What should be dealt with first Matthew 23:25 "Woe to you,= scribes and Pharisees, hypocrites! For you clean the outside of the cup= and of the platter, but within they are full of extortion and unrighteo= usness. 23:26 You blind Pharisee, first clean the inside of the cup and = of the platter, that its outside may become clean also. 1562 = ; Who is first among others? Matthew 20:24 When the ten hear= d it, they were indignant with the two brothers. 20:25 But Jesus summone= d them, and said, "You know that the rulers of the nations lord it over = them, and their great ones exercise authority over them. 20:26 It shall = not be so among you, but whoever desires to become great among you shall= be your servant. 20:27 Whoever desires to be first among you shall be y= our bondservant, 20:28 even as the Son of Man came not to be served, but= to serve, and to give his life as a ransom for many."2015 What sanctifies 2037 = ; The circumstances are greater than= what is in them Heaven = is greater than God, for heaven sanctifies God. God is Godly because of= his throne, because of heaven. 23:16 "Woe to you, you blind guides, who= say, 'Whoever swears by the temple, it is nothing; but whoever swears b= y the gold of the temple, he is obligated.' 23:17 You blind fools! For w= hich is greater, the gold, or the temple that sanctifies the gold? 23:18= 'Whoever swears by the altar, it is nothing; but whoever swears by the = gift that is on it, he is obligated?' 23:19 You blind fools! For which i= s greater, the gift, or the altar that sanctifies the gift? 23:20 He the= refore who swears by the altar, swears by it, and by everything on it. 2= 3:21 He who swears by the temple, swears by it, and by him who was livin= g in it. 23:22 He who swears by heaven, swears by the throne of God, and= by him who sits on it. 1571 = ; Who regards what is holy or valuable= ? Matthew 7:6 "Don't giv= e that which is holy to the dogs, neither throw your pearls before the p= igs, lest perhaps they trample them under their feet, and turn and tear = you to pieces. 1476
		&nb= sp;Implication: How is it true?
		Implication: How is it true?<= /span> Implication: How is it true?= The metalevel may relate to the level as cause and effect by way of a f= low of implications. The metalevel has us solve the problem, typically b= y working backwards. The level presents the solution, arguing forwards. = 63 = ; Deduction &nb= sp; Also known as "direct proof", deduction is merely th= e simplest form of argument in terms of logic. A deductive argument tak= es the form "If P, then Q" or "P=3D>Q" or "P implies Q". Sometimes the = overall structure of an argument is deductive, but the smaller parts use= other styles. pg.46, The Art and Craft of Problem Solving, Paul Zei= tz, 1999, John Wiley & Sons, Inc.1437 = ; Penultimate step &n= bsp; Once you know what the desired conclusion is,= ask yourself, "What will yield the conclusion in a single step?" Someti= mes a penultimate step is "obvious", once you start looking for one. An= d the more experienced you are, the more obvious the steps are. For exa= mple, suppose that A and B are weird, ugly expressions that seem to have= no connection, yet you must show that A =3D B. One penultimate step wou= ld be to separately argue that A =E2=89=A5 B AND B =E2=89=A5 A. Perhaps= you want to show instead that A =E2=89=A0 B. A penultimate step would b= e to show that A is always even, while B is always odd. pg. 30, The = Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, I= nc. 1383 = ; Recast geometry as logic = ...a problem that is geometric on the= surface, but not at its core ... We are given n planets in space, where= n is a positive integer. Each planet is a perfect sphere and all planet= s have the same radius R. Call a point on the surface of a planet privat= e if it cannot be seen from any other planet. ... We conjecture that the= total private area is always exactly equal to the area of one planet, n= o matter how the planets are situated. It appears to be a nasty problem = in solid geometry, but must it be? The notions of "private" and "public"= seem to be linked with a sort of duality; perhaps the problem is really= not geometric, but logical. ... If location x is private on one planet,= it is public on all other planets. After this nice discovery, the penul= timate step is clear: to prove that Given any location x, it must be pri= vate on some planet. ... pg. 63 The Art and Craft of Problem Solvin= g, Paul Zeitz, 1999, John Wiley & Sons, Inc.1519
		= Improve - Explicitly Innovate
	Improve - Explicitl= y Innovate 173 = 3-12-3 Brainstorm &nbs= p; fresh, incremental improvements 326 = Challenge Cards = identify, address challenges, improve product 328 = Plus/Delta = ; constructive feedback 327
		= Knowing how

		= Implication

		&n= bsp;Weigh one element against another
		Weigh one element against another &nbs= p; Second, structuring allows us to compare = and weigh one element against another. Instead of looking at a whole bow= l of vegetable soup, we look at the soup's ingredients, one ingredient a= t a time. This identifies which factors and relationships are critical n= ot only to our analysis but also to the concerns of those who will make = use of our findings. The Thinker's Toolkit by= Morgan D.Jones2113
		= Money (compensation of difference)
		Money (compensation = of difference) Compensation = substitutes for disparity in contributions. How there is value.1076 = ; Monetary encou= ragement When we were ch= ildren, our father decided that he would supplement our allowance by giv= ing us one penny for each page of Lithuanian books that we read for our = own enjoyment. He wouldn't pay for English books, only Lithuanian. It wa= s a really great support because the Lithuanian books were extra effort = but I really wanted to get good at reading them. It made it extra reward= ing. 1000 = ; Money as a mea= sure of motivation I rem= ember as a child our mother would give us 5 cents for every caterpillar = that we would remove from the tomato vines. The caterpillars were large,= light green, gross to pick up, and scary because their alien body ended= in what looked like a stinger. It didn't seem worth it. But then my mot= her said that it wasn't really about the money, she needed my help. So h= er need got me to do it, and the reward encouraged me to work efficientl= y. Mielas Andriau, Buvo smagu skaityti apie tavo pinigine odiseja. I = really made you work for that nickel. Su meile, Mama RutaKK, 2011.05.05<= /i>1002
		&nb= sp; God's significance
		God's significance &nbs= p; 147 = Championing faith &n= bsp; 419 = What brings people to God = 415 = Whether my prayers were answered 421
		= See oneself in Scripture
		See oneself in Scripture Jesus distinguishes between four = levels of receiving the word. By receiving each other, as we receive Je= sus, we are receiving the word. Thus we can take the word to heart, not = just other people.1339 Concepts from Scripture = 2041 = ; Instruments of stumbling will be dest= royed Instruments of stumbli= ng (such as Assyria) will be destroyed, not simply punished2042 = ; Those who are punished are not dest= royed Psalm 118:17 I wil= l not die, but live, = and declare Yah's works. = Jesus cites this Psalm. There is a distinction between being punished an= d being destroyed. We are punished by those who will ultimately be dest= royed. The stone they reject will become the head of the corner. 118:1= 8 Yah has punished me severely, = but he has not given me over to death. = 118:19 Open to me the gates of righteousness. = I will enter into them. = I will give thanks to Yah. = 118:20 This is the gate of Yahweh; = the righteous will enter into it. = 118:21 I will give thanks to you, for you have answered me, = and have become my salvation. = 118:22 The stone which the builders rejected has become the head of the = corner. = 118:23 This is Yahweh's doing. = It is marvelous in our eyes. = 118:24 This is the day that Yahweh has made. = We will rejoice and be glad in it! = 118:25 Save us now, we beg you, Yahweh! = Yahweh, we beg you, send prosperity now. = 118:26 Blessed is he who comes in the name of Yahweh! = We have blessed you out of the house of Yahweh. = 118:27 Yahweh is God, and he has given us light. = Bind the sacrifice with cords, even to the horns of the altar.1962 Identify in Scripture others who you personally know&n= bsp; Matthew 11:9 But why did you go out?= To see a prophet? Yes, I tell you, and much more than a prophet. 11:10 = For this is he, of whom it is written, 'Behold, I send my messenger befo= re your face, who will prepare your way before you.'1852 Jesus' role 2038 = ; An action that others will understand= later 12:14 Jesus, havi= ng found a young donkey, sat on it. As it is written, 12:15 "Don't be af= raid, daughter of Zion. Behold, your King comes, sitting on a donkey's c= olt." 12:16 His disciples didn't understand these things at first, but w= hen Jesus was glorified, then they remembered that these things were wri= tten about him, and that they had done these things to him. Zechariah 9= :9 Rejoice greatly, daughter of Zion! Shout, daughter of Jerusalem! Beho= ld, your King comes to you! He is righteous, and having salvation; lowly= , and riding on a donkey, even on a colt, the foal of a donkey.1966 = ; Appreciating the power of God Mark 11:1 When they drew near to= Jerusalem, to Bethsphage and Bethany, at the Mount of Olives, he sent t= wo of his disciples, 11:2 and said to them, "Go your way into the villag= e that is opposite you. Immediately as you enter into it, you will find = a young donkey tied, on which no one has sat. Untie him, and bring him. = 11:3 If anyone asks you, "Why are you doing this?" say, "The Lord needs = him and immediately he will send him back here."1407 = ; Contemplating Scripture&nb= sp; Mark 12:35 Jesus responded, as he tau= ght in the temple, "How is it that the scribes say that the Christ is th= e son of David? 12:36 For David himself said in the Holy Spirit, "The Lo= rd said to my Lord, "Sit at my right hand, until I make your enemies the= footstool of your feet."" 12:37 Therefore David himself calls him Lord,= so how can he be his son?"1402 = ; Finding confirmation in Scripture= Mark 12:10 Haven't you even= read this Scripture: "The stone which the builders rejected, the same w= as made the head of the corner. 12:11 This was from the Lord, it is marv= elous in our eyes"1403 = ; Foretelling &= nbsp; Jesus foretells several events that came to pass, and= several that may still come to pass. How did he know? Did he gather th= at from the Scripture? Or his knowledge of God?1246 = ; Foretelling based on Scripture= Jesus foretells several events, an= d of these, some seem to be based on his interpreting Scripture. Matthe= w 26:21 As they were eating, he said, "Most certainly I tell you that on= e of you will betray me." 26:22 They were exceedingly sorrowful, and eac= h began to ask him, "It isn't me, is it, Lord?" 26:23 He answered, "He w= ho dipped his hand with me in the dish, the same will betray me. 26:24 T= he Son of Man goes, even as it is written of him, but woe to that man th= rough whom the Son of Man is betrayed! It would be better for that man i= f he had not been born." 1247 = ; Fulfilling Scripture = Jesus enters Jerusalem with great fanfar= e on Palm Sunday, takes a look around the temple, and simply leaves. Ma= rk 11:11 Jesus entered into the temple in Jerusalem. When he had looked = around at everything, it being now evening, he went out to Bethany with = the twelve.140= 4 = ; J= esus took our infirmities Jesus dealt with the human condition, including illness. Matthew 8:16 = When evening came, they brought to him many possessed with demons. He ca= st out the spirits with a word, and healed all who were sick; 8:17 that = it might be fulfilled which was spoken through Isaiah the prophet, sayin= g: "He took our infirmities, and bore our diseases."1611 = ; How he chose to speak to the multi= tudes Matthew 13:34 Jesu= s spoke all these things in parables to the multitudes; and without a pa= rable, he didn't speak to them, 13:35 that it might be fulfilled which w= as spoken through the prophet, saying, "I will open my mouth in parables= ; = I will utter things hidden from the foundation of the world." Psalm 78:2= 78:1 Hear my teaching, my people. Turn your ears to the words of my mou= th. 78:2 I will open my mouth in a parable. I will utter dark sayings of= old, 78:3 Which we have heard and known, and our fathers have told us. = 78:4 We will not hide them from their children, telling to the generatio= n to come the praises of Yahweh, his strength, and his wondrous works th= at he has done.1982 = ; Interpreting Scripture metaphorical= ly Jesus sees himself as= the bridegroom, and the apostles as his friends. I presume this is an = image that he has taken from Scripture. Matthew 9:15 Jesus said to them= , "Can the friends of the bridegroom mourn, as long as the bridegroom is= with them? But the days will come when the bridegroom will be taken awa= y from them, and then they will fast.1721 = ; Knowing from Scripture&= nbsp; Matthew 20:17 As Jesus was going up= to Jerusalem, he took the twelve disciples aside, and on the way he sai= d to them, 20:18 "Behold, we are going up to Jerusalem, and the Son of M= an will be delivered to the chief priests and scribes, and they will con= demn him to death, 20:19 and will hand him over to the Gentiles to mock,= to scourge, and to crucify; and the third day he will be raised up."2012 = ; Reference point in Scripture The coming of the Son of Man = is for Jesus a reference point in Scripture. Matthew 10:22 You will be h= ated by all men for my name's sake, but he who endures to the end will b= e saved. 10:23 But when they persecute you in this city, flee into the n= ext, for most certainly I tell you, you will not have gone through the c= ities of Israel, until the Son of Man has come. 1799 = ; Remind of what he said beforehand Luke 24:44 He said to them= , "This is what I told you, while I was still with you, that all things = which are written in the law of Moses, the prophets, and the psalms, con= cerning me must be fulfilled." 24:45 Then he opened their minds, that th= ey might understand the Scriptures. 24:46 He said to them, "Thus it is w= ritten, and thus it was necessary for the Christ to suffer and to rise f= rom the dead the third day, 24:47 and that repentance and remission of s= ins should be preached in his name to all the nations, beginning at Jeru= salem. 24:48 You are witnesses of these things. 2088 = ; Requesting of Father, if it is pos= sible Jesus sees the dis= tinction between his desires and God's desires. Matthew 26:39 He went f= orward a little, fell on his face, and prayed, saying, "My Father, if it= is possible, let this cup pass away from me; nevertheless, not what I d= esire, but what you desire."1245 = ; Role as a Shepherd = Matthew 9:36 But when he saw the multitu= des, he was moved with compassion for them, because they were harassed a= nd scattered, like sheep without a shepherd.1734 = ; Statements &= nbsp; In the gospel of John, Jesus makes eight statements o= f the form "I am...", namely: I am the good shepherd; I am the light of = the world; I am the way, the truth and the life; I am the gate for the s= heep; I am the bread of life; I am the true vine; I am the resurrection = and the life; I am. Thank you to Adrian Hunter for alerting me to these = statements. I have related them to the lines of the Beatitudes, Maslow's= hierarchy of need, and operating principles to address those needs. Th= e "I am..." statements apply the operating principles more broadly to tr= anscend each of the needs. How did the "I am..." statements arise in Je= sus' mind? Perhaps as he read Scripture he kept thinking, What is that?= What does it mean? and sometimes he would answer, I am that! This refer= s to me.1316 = ; Telling them what they may understand= later Luke 18:31 He too= k the twelve aside, and said to them, "Behold, we are going up to Jerusa= lem, and all the things that are written through the prophets concerning= the Son of Man will be completed. 18:32 For he will be delivered up to = the Gentiles, will be mocked, treated shamefully, and spit on. 18:33 The= y will scourge and kill him. On the third day, he will rise again." 18:3= 4 They understood none of these things. This saying was hidden from them= , and they didn't understand the things that were said.2065 = ; What is Jesus lord of?&n= bsp; The Sabbath is a day of exceptions, = and the Son of Man is, by his slack, his mercy, the one who makes except= ions possible. Sacrifice is just a sign of slack. Thus there is no gui= lt for those who the Son of Man gives slack to. Matthew 12:7 But if you= had known what this means, 'I desire mercy, and not sacrifice,' you wou= ld not have condemned the guiltless. 12:8 For the Son of Man is Lord of = the Sabbath." = 1926 = ; What is written in the prophets= There will be a culture of = the righteous. Isaiah 54:13 All your children shall be taught of Yahweh= ; and great shall be the peace of your children. 54:14 In righteousness = you shall be established: you shall be far from oppression, for you shal= l not be afraid; and from terror, for it shall not come near you. John = 6:45 It is written in the prophets, 'They will all be taught by God.' Th= erefore everyone who hears from the Father, and has learned, comes to me= . 6:46 Not that anyone has seen the Father, except he who is from God. H= e has seen the Father. 1964 = ; Who was he sent to = ; Matthew 15:22 Behold, a Canaanite woman= came out from those borders, and cried, saying, "Have mercy on me, Lord= , you son of David! My daughter is severely demonized!" 15:23 But he ans= wered her not a word.His disciples came and begged him, saying, "Send he= r away; for she cries after us." 15:24 But he answered, "I wasn't sent t= o anyone but the lost sheep of the house of Israel."1990 = ; Why Jesus came &nbs= p; Matthew 9:12 When Jesus heard it, he said to= them, "Those who are healthy have no need for a physician, but those wh= o are sick do. 9:13 But you go and learn what this means: 'I desire merc= y, and not sacrifice,' for I came not to call the righteous, but sinners= to repentance." 1717 Led by the Spirit 2040 = = ; Fast and be hungry &nbs= p; Matthew 4:1 Then Jesus was led up by the Spi= rit into the wilderness to be tempted by the devil. 4:2 When he had fast= ed forty days and forty nights, he was hungry afterward.1333 = ; Go to the wilderness = ; Matthew 4:1 Then Jesus was led up by th= e Spirit into the wilderness to be tempted by the devil. 4:2 When he had= fasted forty days and forty nights, he was hungry afterward.1334 = ; Led by the Spirit into temptation by= the devil Matthew 4:1 T= hen Jesus was led up by the Spirit into the wilderness to be tempted by = the devil.1317= The word and the foursome 2039 = ; Foursome: The parable of the sower<= /span> Luke 8:5 "The farmer went ou= t to sow his seed. As he sowed, some fell along the road, and it was tra= mpled under foot, and the birds of the sky devoured it. 8:6 Other seed f= ell on the rock, and as soon as it grew, it withered away, because it ha= d no moisture. 8:7 Other fell amid the thorns, and the thorns grew with = it, and choked it. 8:8 Other fell into the good ground, and grew, and br= ought forth fruit one hundred times." ... 8:11 Now the parable is this: = The seed is the word of God. 8:12 Those along the road are those who hea= r, then the devil comes, and takes away the word from their heart, that = they may not believe and be saved. 8:13 Those on the rock are they who, = when they hear, receive the word with joy; but these have no root, who b= elieve for a while, then fall away in time of temptation. 8:14 That whic= h fell among the thorns, these are those who have heard, and as they go = on their way they are choked with cares, riches, and pleasures of life, = and bring no fruit to maturity. 8:15 That in the good ground, these are = such as in an honest and good heart, having heard the word, hold it tigh= tly, and bring forth fruit with patience.1371 = ; Representations of the foursome<= /span> Matthew and Luke describe th= ree ways that Satan tempts Jesus. They bring to mind for me the levels = of the foursome: Whether, What, How, Why. Satan places Jesus at the pin= nacle of the temple and encourages him to jump down on the rocks below, = on their sensory image, What. Satan leads him up to a high mountain and= shows him the kingdoms of the world, all that he will give him; he's us= ing the rock as a How. Satan tempts him to turn the stone into food, wh= ich plays with Why and Whether it is a stone. After these temptations, = Jesus calls forth his disciples, and he tells Simon that he will be call= ed Peter, which is rock or stone on which he will build his church. One= reading is that turning the stone into food was Why, whereas Peter is s= tone as Whether. Satan tempts Jesus with idealism that favors Why, How,= What over Whether, but Jesus rejects it as empty unless it is grounded = in Whether. The kingdom-of-heaven is down-to-earth (the salt of the ear= th) and Peter is, too. When Peter later gets caught up in Jesus as king= , then Jesus rebukes him, "Get behind me, Satan!" just as he did to Sata= n in the desert.1320 = ; Speak and hear by way of the foursome<= /span> The foursome is how Jesus sp= eaks to several audiences, and how the word reaches people, and their he= arts: the level at which the words is received: Whether, what, how or wh= y. Also, the word is what they "find", and these are the four levels of = the "finding" in the House of Knowledge. Mark 4:13 He said to them, "Do= n't you understand this parable? How will you understand all of the para= bles? 4:14 The farmer sows the word. 4:15 The ones by the road are the o= nes where the word is sown; and when they have heard, immediately Satan = comes, and takes away the word which has been sown in them. 4:16 These i= n the same way are those who are sown on the rocky places, who, when the= y have heard the word, immediately receive it with joy. 4:17 They have n= o root in themselves, but are short-lived. When oppression or persecutio= n arises because of the word, immediately they stumble. 4:18 Others are = those who are sown among the thorns. These are those who have heard the = word, 4:19 and the cares of this age, and the deceitfulness of riches, a= nd the lusts of other things entering in choke the word, and it becomes = unfruitful. 4:20 Those which were sown on the good ground are those who = hear the word, and accept it, and bear fruit, some thirty times, some si= xty times, and some one hundred times."1662 = ; Tempted by conditionals&n= bsp; Barbara Pecker noticed that in Matth= ew, the devil's temptations of Jesus are all based on conditionals ("If.= .."): "If you are the Son of God, command that these stones become bread= ." "If you are the Son of God, throw yourself down, for it is written, '= He will put his angels in charge of you.' and, 'On their hands they will= bear you up, so that you don't dash your foot against a stone.'" 4:8 Ag= ain, the devil took him to an exceedingly high mountain, and showed him = all the kingdoms of the world, and their glory. 4:9 He said to him, "I w= ill give you all of these things, if you will fall down and worship me."= 1318
		&nb= sp;Variable: Why is it true?
		Variable: Why is it true? The metalevel and the level may = be distinct in the mind. Given the four levels (why, how, what, whether)= , the metalevel is associated with the wider point of view (why being th= e widest) and the level with a narrower point of view. We may think of t= hem concretely in terms of the types of signs: symbol, index, icon, thin= g. The pairs of four levels are six ways to characterize the relationshi= p. I believe that each way manifests itself through the relationship tha= t we suppose for our variables: dependent vs. independent, known vs. unk= nown, given vs. arbitrary, fixed vs. varying, concrete vs. abstract, def= ined vs. undefined, evaluated vs. unevaluated, specialized vs. generaliz= ed, domain given or not, determined vs. undetermined (as in the problem = of measuring the shortest distance to the river and grandmother's) and s= o on. I need to study the variety that variables can express. I suppose = that, mentally, the varying variables are active in both levels, whereas= the fixed variables are taken to be in the level. The levels become app= arent when, for example, we draw a picture because that distinguishes th= e aspects of our problem that our iconic or indexical or symbolic. Likew= ise, our mental peripheral vision picks up on aspects specific to a part= icular level.64<= /a> = ; Fre= e variables and Bound variables = Wikipedia: In mathematics, and in other disciplines involving= formal languages, including mathematical logic and computer science, a = free variable is a notation that specifies places in an expression where= substitution may take place. The idea is related to a placeholder (a sy= mbol that will later be replaced by some literal string), or a wildcard = character that stands for an unspecified symbol. The variable x becomes = a bound variable, for example, when we write 'For all x, (x + 1)2 =3D x2= + 2x + 1.' or 'There exists x such that x2 =3D 2.' In either of these = propositions, it does not matter logically whether we use x or some othe= r letter. However, it could be confusing to use the same letter again el= sewhere in some compound proposition. That is, free variables become bou= nd, and then in a sense retire from being available as stand-in values f= or other values in the creation of formulae.1165 = ; Bend the rules &nbs= p; Don't let self-imposed, unnecessary restriction= s limit your thinking. Whenever you encounter a problem, it is worth sp= ending a minute (or more) asking the question, "Am I imposing rules that= I don't need to? Can I change or bend the rules to my advantage?" p= g.23, The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley= & Sons, Inc.1= 422 = ; Draw a picture &nbs= p; I imagine that drawing a picture brings out its in= ner logic at the level of "icon" or "what". Central to the open-minde= d attitude of a "creative" problem solver is an awareness that problems = can and should be reformulated in different ways. Often, just translatin= g something into pictorial form does wonders. pg.59, The Art and Cra= ft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1502 = ; Drawing the monk problem = A monk climbs a mountain. He starts a= t 8 am and reaches the summit at noon. He spends the night on the summit= . The next morning, he leaves the summit at 8am and descends by the same= route he used the day before, reaching the bottom at noon. Prove that = there is a time between 8 am and noon at which the monk was at exactly t= he same spot on the mountain on both days One solution is to draw t= he paths on a distance-time graph, which makes it clear that the paths m= ust cross and so they must meet. The pictures brings out the two condit= ions and shows how they come together. pg.19, 59 The Art and Craft of P= roblem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1504 = ; Fantasize an answer = ; When looking at the conclusion of the prob= lem, especially for a "to find" problem, sometimes it helps to "fantasiz= e" an answer. Just make something up, and then reread the problem. Your = fantasy answer is most likely false, and rereading the problem with this= answer in mind may help you to see why the answer is wrong, which may p= oint out some of the more important constraints of the problem. pg.3= 0, The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & = Sons, Inc.1428= = ; Loosen up &nb= sp; Loosen up by deliberately breaking rules and conscio= usly opening yourself to new ideas (including shamelessly appropriating = them!) Don't be afraid to play around, and try not to let failure inhibi= t you. pg.24, The Art and Craft of Problem Solving, Paul Zeitz, 1999= , John Wiley & Sons, Inc.1425 = ; Peripheral vision &= nbsp; One way to heighten your receptiveness to ne= w ideas is to stay "loose", to cultivate a sort of mental peripheral vis= ion. ... Likewise, when you begin a problem solving investigation, you a= re "in the dark". Gazing directly at things won't help. You need to re= lax your vision and get ideas from the periphery. Like Polya's mouse, c= onstantly be on the lookout for twists and turns and tricks. Don't get l= ocked into one method. Try to consciously break or bend the rules. = pg.20, The Art and Craft of Problem Solving, Paul Zeitz, 1999, John Wile= y & Sons, Inc.= 1421 = ; Without loss of generality&nbs= p; Note the use of the phrase "without lo= ss of generality" in the following problem. The color "white" is chosen= arbitrarily, yet its value is fixed. This is one way that variables ca= n be employed. Remove the two diagonally opposite corner squares of = a chessboard. Is it possible to tile this shape with thirty-one 2 x 1 "d= ominos"? ... At first, it seems like a geometric/combinatorial problem w= ith many cases and subcases. But it is really just a question about coun= ting colors. The two corners that were removed wre both (without loss of= generality) white, so the shape we are interested in contains 32 black = and 30 white squares. Yet any domino, once it is placed, will occupy exa= ctly one black and one white square. The 31 dominos thus require 31 blac= k and 31 white squares, so tiling is impossible. pg. 60 The Art and = Craft of Problem Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.1510 = Hard and soft constraints &nb= sp; Wikipedia: The aim of constraint optimization is to = find a solution to the problem whose cost, evaluated as the sum of the c= ost functions, is maximized or minimized. The regular constraints are ca= lled hard constraints, while the cost functions are called soft constrai= nts.934=
		= Invert - Explicitly Transform
	Invert - Explicitly= Transform 172 = Design the Box &= nbsp; translate features into benefits = 321 = Flip It &n= bsp;open up opportunities 324 = Product Pinnochio &nbs= p; improve the end user experience 325 = The Virtuous Cycle &nb= sp; shift focus from process to recurring value 323 = Understanding Chain &n= bsp; unfold your knowledge from your audience's point of v= iew 322=
		= Knowing why

		= Levels
		Levels 1683 = Contemplating d= ifferent relations of existence and nonexistence &= nbsp; Edward Cherlin, 2011.04.05: This idea [of dropp= ing the excluded middle] can be followed into a realm of multiple-valued= logics. Buddhist logic considers the possibilities Exists Does not exist Both exists and does not exist Neither exists nor does not exist None of the above as one of many ways of stating that meditation does not work the way you= think. 993<= /p>
		&n= bsp;Problem Restatement
	=	Problem Restatement = How we define a problem usually determines how we analyze it. ... We = frequently discover, based on information and perceptions gained midway = through the analysis, that the initial problem statement was far off the= mark. ... narrow definition of a problem caused their analysis to be sh= ortsighted, overlooking alternative and possibly more beneficial solutio= ns. ... Every problem ... can be viewed from multiple conflicting perspe= ctives. And what drives these differing perspectives? Biases, those unse= en killers of objective truth, determine our perspective of any problem.= That perspective in turn drives our analysis, our conclusions, and ulti= mately our recommendations. ... it makes good sense at the outset ... t= o deliberately strive to identify and examine our biases as they relate = to the problem at hand. ... the human mind by design works to conceal th= e biases that drive our thinking ... introspection is impracticable ... = I recommend an indirect approach, which is to restate (redefine) the pro= blem in as many different ways as we can think of. We simply shift our = mental gears into a divergent mode ... and start pumping out restatement= s without evaluating them. The key here ... is letting ideas flow freel= y, without attempting to justify them. Sometimes restating the problem i= s difficult because the original statement was poorly articulated. ... O= ne can generally gain most of the benefits of restating a problem in fiv= e or ten minutes. ... A problem restatement session will rather quickly,= almost magically, focus on the crux of a problem - the core issues - an= d reveal what the problem is really all about ... if, as often is the ca= se, we are analyzing a problem for someone else's benefit, it is best to= generate the problem restatements in that person's presence. Doing so i= n an open discussion will reveal our consumer's prime concerns and what = he or she considers to be the key issues. This will facilitate reaching = agreement at the start concerning what the problem is and what our analy= sis will aim to find out. Two basic approaches: 1) Paraphrase: Reword t= he problem without shifting its primary focus. 2) Make a 180-Degree Turn= : Shift the problem's focus by viewing it from the opposite direction. .= .. Most important of all, restatements should, whenever possible, be put= into writing so we - and our consumer ... can study them. ... the goal = of problem restatement is to expand our thinking about the problem, not = to solve it. ... A valuable tip when restating problems is to make them = simple, positive, and in active voice. The mind works more easily and q= uickly with simple, positive, active-voice sentences than with complex, = negative, passive-voice sentences. The Thinker's Toolkit by Morgan D. Jones1766 = = ; Depicting elements visually = Finally, all of the structuring methods presented in this boo= k are visual processes that involve writing or depicting elements of a p= roblem or on a display board or computer screen, where we can see them. = Why is seeing them important? By enabling the brain actually to see the= words or numbers or depictions of the problem, we engage more brainpowe= r in analyzing and solving the problem and so gain added insights. Indee= d, when elements are seen visually, we often discover correlations we mi= ssed when we simply thought about them. The old adage - "A picture is wo= rth a thousand words" - speaks to the power of engaging the brain's visu= al capabilities. The Thinker's Toolkit by Mor= gan D.Jones2117 = ; Note how our feelings govern our perceptions &= nbsp; Georgia O'Keeffe separated levels in her mind, = emotion and perception. ...in [Edmund] Bolles's book A Second Way of = Knowing: "Georgia [O'Keeffe] was suddenly struck by the realization that= her feelings governed the way she saw the scene. It was a moment of tra= nsformation: the entire visual world, she realized, was dependent on the= emotional world." Said Bolles: "That day she learned the artist's secre= t; what you perceive depends on who you are. Analytical thinkers have ge= nerally assumed that we perceive reality as it is; they then use a proce= ss of abstract reasoning to interpret that perception. O'Keefe realized = that the perception is the interpretation. It rests on an internal reali= ty that governs the meaning we find in our sensations." The internal rea= lity Bolles speaks of is, in fact, controlled by the mental traits I've = been talking about. ... We view the world through a dense veil of burden= some, thought-warping biases and mind-sets. = The Thinker's Toolkit by Morgan D.Jones dra= wing from The Universe Within: A New S= cience Explores the Human MindThe Universe Within by Morton Hunt and How We Know What Isn't So by Thomas Gilov= ich.2137 = ; The Matrix A matrix = is typically used to compare and make explicit the internal structure of= records, thus to uncover correlations, rather than to organize or visua= lize externally. I think the matrix is a way to restate a problem so th= at we can think of it on two different levels, the whole and the parts. = This internal structuring yields a systemic boundary that opens the way= for external restructuring. First, we think of as many different exp= lanations as we can... We call that diverging. We then sort the explanat= ions (cluster them) into definable groups, which we'll call categories, = for want of a better term. ... We also discern basic explanations ... w= hich I have listed below by category ... Let's examine each category ...= [matrix analysis begins] that's what structuring analysis does: it enab= les us to analyze each element of a problem separately, systematically, = and sufficiently. ... We can find out by determining whether there was a= correlation ... To analyze this question, I have constructed chronologi= es using a matrix. ... a matrix is nothing more than a grid with as many= cells as needed for whatever problem is being analyzed. ... a matrix en= ables us ... to separate elements of a problem; categorize information b= y type; compare one type of information with another; compare pieces of = information of the same type; see correlations (patterns) among the info= rmation. ... putting the numerical data into matrix form has the effect = of isolating the data so they can be analyzed more easily, both separate= ly and in combination. ... is there a correlation ...? [...mapping out = relationships...] ... which one of the following circumstances would be = best ... possible outcomes ... facilitate discussion of the six possible= scenarios (alternative outcomes) to ensure that the pros and cons of ea= ch were analyzed separately, systematically, and sufficiently. ... the f= irst thing I do, when confronted with a problem, is to ask myself how I = can represent the problem in a matrix. ... when I can portray it in a ma= trix, the problem immediately opens itself to analysis, like the petals = of a flower opening up to reveal its inner parts. Moreover, displaying a= matrix like this one on a screen to guide discussion at a meeting can b= e extremely helpful. ... By providing a visual means of focusing our min= d on each option, one at a time, the matrix enables us to easily compare= and rank... The Thinker's Toolkit by Morgan D.Jones1771
		= Humility	<= /td>
		= Humility <= i> Autonomy substitutes for morality. Why there is value.1075 = ; Learning what = is not related I remembe= r as a child that our parents used to give us allowance. They made it ve= ry clear that the allowance was not for any work that we did. The purpos= e of the allowance was for us to learn how to spend thoughtfully and man= age our money. We also had to help with some basic chores. And we were t= o do them because we had to, it was independent of our allowance. I took= from them that our responsibility to do our work and our need to be tho= ughtful about money were two separate issues.1044 = ; Learning what = is useful or not for whom After my freshman year my father arranged that I work the summer as an= intern for his employer, Hughes Aircraft. There wasn't much for me to d= o there where I was assigned so I took the chance to teach myself progra= mming, namely, Fortran. My supervisor wanted me to create a graphing pro= gram for him but I didn't have any real guidance and so I ended up focus= ing on what I thought was the coolest thing I could do, which was making= a program for graphing derivatives of trigonometric functions, which wa= s absolutely useless practically. So I made sure to gain from the experi= ence, but it was a waste for my supervisor and they didn't have me back.= 1005 = My moral feelin= g My godson in Lithuania= became quite interested in alternative music. I was very glad that he c= ould educate me because I always felt doubtful about my own tastes and w= as glad to have somebody thoughtful to discuss music with. He would buy = pirated music as it was the only way to get much of the music, and later= , the only way to afford it. I would gladly listen to him play, but I co= uld never make a copy for myself as that seemed a boundary I felt I shou= ldn't cross. Once in a while I would borrow his disks but I was repulsed= by the idea of having pirated music. 966<= /p>
		&nb= sp; Other's actions
		Other's actions &n= bsp; 151 = Noting how others do things&nbs= p; 429 = Noting the standard = 430 = Preferring the standard &n= bsp; 431
		&nbs= p; Symmetry breaking
		Symmetry breaking = ; 1029 = ; Explicit symmetry break= ing Wikipedia: Explic= it symmetry breaking indicates a situation where the dynamical equations= are not manifestly invariant under the symmetry group considered. This = means, in the Lagrangian (Hamiltonian) formulation, that the Lagrangian = (Hamiltonian) of the system contains one or more terms explicitly breaki= ng the symmetry. Such terms can have different origins: Symmetry-breaking terms may be introduced into the theory by hand on= the basis of theoretical/experimental results, as in the case of the qu= antum field theory of the weak interactions, which is expressly construc= ted in a way that manifestly violates mirror symmetry or parity. = Symmetry-breaking terms may appear in the theory because of quantum-= mechanical effects. One reason for the presence of such terms =C3=A2=E2=82= =AC=E2=80=9D known as "anomalies" =C3=A2=E2=82=AC=E2=80=9D is that in pa= ssing from the classical to the quantum level, because of possible opera= tor ordering ambiguities for composite quantities such as Noether charge= s and currents, it may be that the classical symmetry algebra (generated= through the Poisson bracket structure) is no longer realized in terms o= f the commutation relations of the Noether charges. Moreover, the use of= a "regulator" (or "cut-off") required in the renormalization procedure = to achieve actual calculations may itself be a source of anomalies. = Finally, symmetry-breaking terms may appear because of non-renormali= zable effects. Physicists now have good reasons for viewing current reno= rmalizable field theories as effective field theories, that is low-energ= y approximations to a deeper theory (each effective theory explicitly re= ferring only to those particles that are of importance at the range of e= nergies considered). The effects of non-renormalizable interactions (due= to the heavy particles not included in the theory) are small and can th= erefore be ignored at the low-energy regime. It may then happen that the= coarse-grained description thus obtained possesses more symmetries than= the deeper theory. That is, the effective Lagrangian obeys symmetries t= hat are not symmetries of the underlying theory. These "accidental" symm= etries, as Weinberg has called them, may then be violated by the non-ren= ormalizable terms arising from higher mass scales and suppressed in the = effective Lagrangian. 1026 = ; Spontaneous symmetry= breaking Wikipedia: = Spontaneous symmetry breaking is the process by which a system described= in a theoretically symmetrical way ends up in an apparently asymmetric = state. For spontaneous symmetry breaking to occur, there must be a syste= m in which there are several equally likely outcomes. The system as a wh= ole is therefore symmetric with respect to these outcomes (if we conside= r any two outcomes, the probability is the same). However, if the system= is sampled (i.e. if the system is actually used or interacted with in a= ny way), a specific outcome must occur. Though we know the system as a w= hole is symmetric, we also see that it is never encountered with this sy= mmetry, only in one specific state. Because one of the outcomes is alway= s found with probability 1, and the others with probability 0, they are = no longer symmetric. Hence, the symmetry is said to be spontaneously bro= ken in that theory. Nevertheless, the fact that each outcome is equally = likely is a reflection of the underlying symmetry, which is thus often d= ubbed "hidden symmetry", and has crucial formal consequences, such as th= e presence of Nambu-Goldstone bosons. When a theory is symmetric with re= spect to a symmetry group, but requires that one element of the group is= distinct, then spontaneous symmetry breaking has occurred. The theory m= ust not dictate which member is distinct, only that one is. = 1027 = ; A ball on top of a hill &= nbsp; Wikipedia: A common example to help explain this phenome= non is a ball sitting on top of a hill. This ball is in a completely sym= metric state. However, its state is unstable: the slightest perturbing f= orce will cause the ball to roll down the hill in some particular direct= ion. At that point, symmetry has been broken, because the direction in w= hich the ball rolled has a visible feature that distinguishes it from al= l other directions. The "choice" of direction is immaterial, however, as= any other direction would do, i.e. the system is still bearing traces o= f the symmetry of the hill, albeit now somewhat less apparent.1028 = ; Symmetry breaking&nbs= p; Wikipedia: Symmetry breaking in phy= sics describes a phenomenon where (infinitesimally) small fluctuations a= cting on a system which is crossing a critical point decide the system's= fate, by determining which branch of a bifurcation is taken. To an outs= ide observer unaware of the fluctuations (or "noise"), the choice will a= ppear arbitrary. This process is called symmetry "breaking", because suc= h transitions usually bring the system from a disorderly state into one = of two definite states. Since disorder is more symmetric, in the sense t= hat small variations to it don't change its overall appearance, the symm= etry gets "broken". Symmetry breaking is supposed to play a major role i= n pattern formation.1025 = ; = Phase transition Wikiped= ia: A phase transition is the transformation of a thermodynamic syste= m from one phase or state of matter to another. A phase of a thermodynam= ic system and the states of matter have uniform physical properties. Dur= ing a phase transition of a given medium certain properties of the mediu= m change, often discontinuously, as a result of some external condition,= such as temperature, pressure, and others. For example, a liquid may be= come gas upon heating to the boiling point, resulting in an abrupt chang= e in volume. The measurement of the external conditions at which the tra= nsformation occurs is termed the phase transition point. The term is mos= t commonly used to describe transitions between solid, liquid and gaseou= s states of matter, in rare cases including plasma.1030
		&nb= sp; The Law: You have heard it said..., but= I say to you...
		The Law: You have heard it said...= , but I say to you... Th= e relationship between life and eternal life is that of "believing" and = "not having doubt". The positive commandments are ways that we believe,= and the negative commandments, as expressed by the counterquestions, ar= e ways of overcoming doubt, thus having certainty. Life (in this world)= is the positive commandments and eternal life (beyond this world) is th= e negative commandments and so they are connected. These are ways of re= ceiving the word, just as we receive others or Jesus or our reward. In = the Sermon on the Mount, Jesus speaks six antitheses regarding Go= d's commandments from the Old Testament. They match up with six counter= questions that I have found for addressing doubts. I expect he counters= the truths of the world with the truths of the heart, the narrower pers= pective with the broader perspective. These are six of the commandments= , and along with the four other commandments, this may be thought of as = "the prophets and the law". The six are pairs that express the gap betwe= en the ways that evil grows clear, the world as opposed to the heart (co= ntinuously, feeling, as the little, so the big; distinguishing inside an= d outside, as the work, so the worker; distinguishing the first and the = last, staying within our domain, as others, so us) and the ways of fixin= g bad relationships, setting the heart right (with ourselves, with other= s, with God). The gap means that we can fix bad relationships before th= ey are bad, and thus, we can foster good relationships, even without any= bad, by being obedient proactively. It also means that we must be ever= adaptive to what it means to be good, ever alert to our doubts and ever= responsive to change and grow. It is the way in which God creates, but= making room, allowing for a gap, giving slack, being flexible, alive, s= ensitive, responsive.1239 = ; = ;Jesus's antitheses &nb= sp; I'm trying to understand the structure of Jesus's antit= heses, "You have heard it said... but I say unto you..."1716 &n= bsp; &n= bsp;Ten Commandments &n= bsp; I think that the ten commandments give the 6+4 rooms o= f the House of Knowledge and that Jesus expressed this connection. But = I'm not sure exactly what it is. I don't remember, where did I come up w= ith the structure: engage, wait, believe, rely, love, suffer? The will = of God is expressed as the commandments, and Jesus' interest not to forc= e understanding, but rather to encourage it. covet people - discard what causes you to stumble - do not let yours= elf stumble; let God punish murder - reconcile, fix before you are judged - let yourself be save= d; let God punish covet things - be rewarded by God for your unrewarded love - let you= rself be saved; let God reward lie - do not set yourself or others up to stumble by your words - do= not cause others to stumble; let God determine steal - do not cause others to stumble by resisting them - do not ca= use others to stumble; let God reward adultery - do not cause others to stumble by righteousness - do not = cause others to stumble; let God punish 1663 = ; Receiving &nb= sp; Ways of uniting the two branches. One branch is receivi= ng, unity with God, and the other branch is not receiving, difference fr= om God and others.1977
		= Restructuring
	<= /td>	Restructuring 10 Tre= e of variations, 20 Adjacency graph, 21 Total order, 32 Powerset lattice= , 31 Decomposition, 30 Directed graph The structures above are graph= -like geometries. They are six ways that we visualize structure. We visu= alize by restructuring a sequence, hierarchy or network. We don't and ca= n't visualize such structures in isolation, but rather, we visualize the= restructuring of, for example, a network which becomes too robust so th= at we may restructure it with a hierarchy of local and global views, whi= ch we visualize as an Atlas, or we may restructure it with a sequence, w= hich we visualize as a Tour that walks about the network. Here are the s= ix visualizations, accordingly: ("Hierarchy =3D> Sequence" means "Hierar= chy restructured as Sequence", etc.) = 10 Evolution: Hierarchy =3D> Sequence (for determining weights) = = 20 Atlas: Network =3D> Hierarchy (for determining connections) = 21 Canon: Sequence =3D> Network (for determining priorities) = 32 Chronicle: Sequence =3D> Hierarchy (for determining solutions) = 31 Catalog: Hierarchy =3D> Network (for determining redundancies) = 30 Tour: Network =3D> Sequence (for determining paths) = I expect that they relate 0 Truth, 1 Model, 2 Implication, 3 Variab= le as follows ... I expect that each geometry reflects a particular way= that we're thinking about a variable. I expect them to illustrate the s= ix qualities of signs... Consider the geometry suggested by (6 of the 8= ) axioms of Zermelo-Fraenkel set theory, for example, the power set axio= m. These are axioms for restructuring.15 = Models of Multiplication &= nbsp; Six ways of thinking of multiplication: F= ractal, Proportion, Tally, Box, Label, Divide out. (Andrius thinking out loud) I think that the six pa= irs of levels, six kinds of variables, six Zermelo-Frankel axioms of set= theory can be illustrated by models of multiplication as Maria Droujkov= a has been studying. Question: What does it mean to cancel out units as = physicists do? The addition rule is at work, adding exponents. Multiplying by = 10 or dividing by 10 shifts the number with regard to the decimal point,= although it looks like the decimal point is moving. We may think of thi= s as simply changing the units, the base unit. I think of rescaling as a product of actions that either make bigger= (numerator) or make smaller (denominator). They are all multiplying aga= inst some unknown, acting upon it. I call the actions "multiplication dr= ops", either "magnifying drops" (say, multiplying by 10) or "shrinking d= rops" (dividing by 10). So these are actions x actions x (object with un= its). Thus magnifying and shrinking can cancel out. Also, actions can be= decomposed into component actions, into primes. = Repeated addition is a recounting, a shift from larger units to smal= ler units. 3 x (23 x dollars) becomes (3 x 23) x dollars. Amount x (larg= e unit) becomes action x (amount x small unit) becomes (action x amount)= x small unit becomes amount x small unit. = Multiplication can give the ways of matching units, multiple units t= imes multiple units, as in box multiplication, accounting for all possib= ilities. Units times units means that conditions are satisfied, thus gen= erating all of the solutions. Multiplication can be thought of as counting items that have been gr= ouped where each group has the same number of items. For example, we can= count coins by grouping together the pennies, nickels, dimes, quarter, = placing them in rows or groups of 4 or 5 or 10. Number x (Value x Unit).= = Dividing out, for example, money per person. This is like multiple u= nits. (Number of cycles) x (Number of people x Units ) 1531<= /span>
		&nb= sp; Absolute Learning
		Absolute Learning &= nbsp; In real life, we address our doubts (surf= ace problems) with counterquestions (deep solutions). I may doubt, How d= o I know I'm not a robot? and because that has me question all of my exp= eriential knowledge, I can't resolve that by staying in the same level a= s my problem. Instead, I ask a counterquestion that takes me to my metal= evel: Would it make any difference? If there's a difference, then I can = check if I'm a robot. If there's not a difference, then it's just semant= ic and I'm fine with being a robot (by analogy, #3 and #4 may actually b= e equivalent in some total order). My counterquestion in this case force= d you to pin down your variable, like forcing an "arbitrary" epsilon to = be fixed so that I could choose my delta accordingly. There are six doub= ts answered by six counterquestions: = 10 Do I truly like this? How does it seem to me? = 20 Do I truly need this? What else should I be doing? = 21 Is this truly real? Would it make any difference? = 32 Is this truly problematic? What do I have control over? = 31 Is this truly reasonable? Am I able to consider the question? = 30 Is this truly wrong? Is this the way things should be? = Consider also the qualities of signs: = 10 malleable: icon can change without thing changing = 20 modifiable: index can change without thing changing = 21 mobile: index can change without icon changing = 32 memorable: symbol can change without index changing = 31 meaningful: symbol can change without icon changing = 30 motivated: symbol can change without thing changing = And consider the "ten commandments". Note that these six "rooms" corresp= ond to the six divisions of everything as generated by God taking up the= counterquestions. The zeroth division corresponds to What do I truly wa= nt? and obeying God, and the seventh division corresponds to Am I doing = anything about this? and caring=3Dbelieving, living as a person-in-gener= al, thus relating (Obeying) God the Father and (Believing) Jesus. Consi= der how the other secondary structures likewise arise in the house of kn= owledge from God's taking up the primary structures.34 = ; Investigation of 6+4 &nbs= p; I'm investigating the conceptual structure o= f 6+4. I'll be keeping some notes here as I find convenient. I'm wonder= ing if error may play a role in pairing two levels. Directed, cyclic, c= ausal graphs may allow for the study of whether there are errors and how= they may be corrected.1834 &nb= sp; Caring about thinking &nbs= p; I organized the Minciu Sodas laboratory in terms of ten = online spaces to support ten different goals, four of re-caring and six = of re-thinking, towards our overall goal of "caring about thinking".1706 &nbs= p; &nbs= p; Primary and Secondary Structures= I came to realize that the six sec= ondary structures (divisions, representations, topologies, argumentation= , verbalization, narration) were given by pairs of levels of the foursom= e that injected God into primary structures.1707 = ; Symm= etric functions I wrote my P= h.D. on the combinatorics of the symmetric functions of the eigenvalues = of a matrix. I think it may well be relevant here because it gives the = foundations of all matrix combinatorics including walks, cycles, words, = Lyndon words, and surely all manner of trees and priorities. The usual = symmetric functions may also be relevant.1713
		&nb= sp; Experiencing
		Experiencing = ; 1684 Single Layer Perceptron = Sarunas Raudys considers the non-linear Single Layer Perceptron as a pr= ocess in which the weights of the perceptron are increasing, and the cos= t function of the sum of squares is changing gradually. He shows that wh= en this single layer perceptron is trained by adaptive optimization tech= niques, then it is not any single kind of classifier, but rather, in the= course of its evolution, it exhibits the behavior of a very rich family= of linear classifiers. During the backpropagation training, the decisio= n boundary of a single-layer perceptron become close to or identical to = that of seven statistical classifiers: (1) Euclidean Distance Classifier (2) Regularized Linear Discriminant Analysis (3) Standard Fisher Linear Discriminant Function (4) Fisher Linear Discriminant Function With Pseudoinverse Covarianc= e Matrix (5) Generalized Fisher Discriminant Function (6) Minimum Empirical Error Classifier (7) Maximum Margin Classifier In classifier design, the main objective is to obtain a classifier that = results in the minimum number of misclassification errors. Sarunas Raudy= s thinks of the single layer perceptron as evolving durings its training= process so that at any moment it may be thought of as identical or clos= e to one of these classifiers. More than two hundred algorithms for stat= istical classification rules have been proposed in the literature on sta= tistical pattern recognition and discriminant analysis. He considered th= ose that are similar to the perceptron design algorithm. Sarunas Raudys = proposed new complexity-control techniques: target value control moving of the learning data centre into the origin of coordinates zero weight initialization use of an additional negative weight decay term called "anti-regular= ization" use of an exponentially increasing learning step The particular type of classifier that results depends on: the data; the= cost function to be minimized; the optimization technique and its param= eters; the stopping criteria. Andrius: In my understanding, the basic intuition is that in learning= we must watch out for over-learning as this keeps us from learning new = approaches. For this reason it is important that training always include= some noise. My hypothesis is that this yields a hierarchy of learning a= pproaches that accord with the statistical classifiers. Each of them I e= xpect is of increasing sophistication and able to solve the problems of = the preceding approaches, although perhaps not as quickly. I imagine tha= t the sophistication is characterized by the number of point of views en= tertained by the approach so that it functions as a Division Of Everythi= ng into one, two, three, four, five, six or seven parts. Basically, I th= ink that a classifier is, in its world, a division of everything. I wish= to understand intuitively the statistical approaches so that I might cl= arify or reject my hypothesis. (See: Sarunas Raudys, Evolution and gener= alization of a single neurone: I. Single-layer perceptron as seven stati= stical classifiers", Neural Networks 11 (1998) 283-296)1391 &= nbsp; &= nbsp; The Algebra of Copyr= ight An example of the 6= +4 model is in my paper The Algebra of Copyright, see especially the d= iagram which I got to present to Joseph Goguen's class because I related= it to his algebraic semiotics of user interface design. (Yes, he was brilliant! and a great shame that he passed away.) 1705
		= ; Structuring analysis of problems
	Structuring analysis of problems = Structuring analysis has us tend to our = mind's weaknesses and counter them before they become evident. Each cou= nterquestion thus addresses a different weakness. Perhaps they compleme= nt each other in pairs. "What else should I be doing?" is divergent and= "Am I able to consider the question?" is convergent. In general, perhap= s the competition between convergence and divergence is given by the pai= rs of levels. Convergence takes us from questions to answers, whereas di= vergence takes us from answers to questions. Which is the broader view, = the view of the heart? I also note that each of the six analytic tools s= eems to have us analyze the complementary levels. For example, a decisio= n-probability-utility tree is defined by whether-what but has us analyze= why and how, whereas a causal flow diagram is based on whether-why but = has us analyze what and how, and so on. All of us regularly make mist= akes of judgment based on faulty analysis ... While some of these errors= can be blamed on a lack of information or education, most occur because= of the way our minds work. Our minds frequently mislead us, giving us = a false understanding of events and circumstances and causing our analys= is of events and circumstances to be flawed ... By learning about the me= ntal barriers and pitfalls that impede effective analysis and acquiring = the skills and techniques to overcome them, our batting average can be i= mproved, and significantly so. ... The skills and techniques I speak of = are what this book is about: ways of organizing, or structuring, our ana= lysis of problems. This book explains what it means to structure analys= is; identifies and describes the mental traits that tend to lead us astr= ay; explains how structuring our analysis of problems defeats the ill ef= fects of these traits; describes fourteen easily understood structuring = techniques; and provides exercises through which the reader can begin to= master them. ... The word analysis means separating a problem into its = constitutent elements. Doing so reduces complex issues to their simples= t terms. ... But other than showing, as Bertrand Russel said, whether th= e elements of a problem are sensible or nonsensical, what does structuri= ng buy us? ... First, structuring helps the mind make sense out of complex prob= lems. = Second, structuring allows us to compare and weigh one element agai= nst another. Third, structuring helps us to focus our analysis. The mind instinct= ively focuses ... we're better off to work with the mind than against it= and, in so doing, control what it focuses on. Fourth, structuring focuses on one element at a time, which, compare= d to our instinctive scattershot approach of tackling all elements simul= taneously, is more systematic, more thorough, and more productive of rel= evant ideas. Fifth, by establishing rational, systematic frameworks within which = to analyze problems, analytic structuring techniques enable us to impose= our analytic will on our subconscious mind, preventing it from followin= g the instinctive mental traits that lead to faulty analysis. Finally, all of the structuring methods presented in this book are v= isual processes that involve writing or depicting elements of a problem = ... when elements are seen visually, we often discover correlations we m= issed when we simply thought about them. = ...effective problem solving depends, in the end, not on how we structur= e our analysis but on the soundness of our thinking, and for that we hav= e to use our mind. Structuring is not a substitute for thinking. It is = rather a means of facilitating and empowering thinking. ... The only sur= e way I know to achieve objectivity when analyzing a problem is to struc= ture the analysis, setting up at the outset a rigorous step-by-step proc= ess to which the subconscious is forced to adhere and which ensures our = complete understanding of the problem and full consideration of all reas= onable alternative solutions. The Thinker's Toolkit by Morgan D. Jones2093 = = ; The analytic method = Bertrand Russell ... in 1901 wrote in his Principles of Mathematics t= hat, with regard to interpreting the language of philosophic theories, t= he solution is the analytic method - the breaking down of language until= a theory shows itself to be either a set of sensible substatements or j= ust nonsense. In this way, he said, many philosophical "problems" just d= isappear. Russell's book changed the way English philosophy was conducte= d by establishing the "analytic approach" as the only reputable method o= f studying philosophical questions. The Thinker's Toolkit by Morgan D. Jones2094 =
		&nb= sp; Service

		&n= bsp; Forces

		= We sin in our hearts
		We sin in our hearts &n= bsp; Matthew 5:27 "You have heard that it was s= aid, 'You shall not commit adultery;' 5:28 but I tell you that everyone = who gazes at a woman to lust after her has committed adultery with her a= lready in his heart. 5:29 If your right eye causes you to stumble, pluck= it out and throw it away from you. For it is more profitable for you th= at one of your members should perish, than for your whole body to be cas= t into Gehenna. 5:30 If your right hand causes you to stumble, cut it of= f, and throw it away from you. For it is more profitable for you that on= e of your members should perish, than for your whole body to be cast int= o Gehenna. 126= 1 = ; Empathize with the fearful&nbs= p; Matthew 8:25 They came to him, and wok= e him up, saying, "Save us, Lord! We are dying!" 8:26 He said to them, "= Why are you fearful, O you of little faith?"1619 = ; The glory of God: the resurrection an= d the life The resurrection = and the life - DIFFERENCE/UNITY IN HEARING - the transcendence of death = through belief in, acceptance of God's perspective through us - all will= hear the voice of the Son of God; and those who believe in him will not= be judged, but will live and never die; but judgment is given to the So= n of Man; and those who do evil will be judged1969
		&nb= sp;Tree of variations
		Tree of variations &n= bsp; Model truth (can distinguish possibilities). Wei= ghted averages, moves in games. 10 Evolution: Hierarchy =3D> Sequence (= for determining weights). Examination of cases.60 = ; = Axiom of pairing Wikiped= ia: If x and y are sets, then there exists a set which contains x and= y as elements. This relates to evolution perhaps as a notion of "co= unting up" or "sorting out".1168 = ; Mult= iplication, division by 10 moves the number &nbs= p; One example of fractal multiplication that comes to mind= is multiplication by 10. I noticed this year that the decimal point is not logically positioned. It should be at (under or over) the "ones" place. Then the system would be symmetric. The space to the left would be the "tens" and= the space to the right would be the "tenths". A little (video) essay could explain that when we multiply or divide by 10, it is the number th= at actually moves, not the decimal point. It's like the fact that the Sun i= s at (or near) the center of the solar system and the Earth revolves aroun= d it, not the other way around, as it may seem. The way that the decimal point is placed is very destructive pedagogically, it makes people (like= me) think that there is something between the digit; that there is some mysterious difference between the whole numbers and the fractional numbers; and most sadly, that (jaded) teachers don't see that there's something wrong with the system, as I remember thinking as a child; and that there's no reason to care. I suspected that the decimal point is where it is for typographical reasons; maybe because it arose along with= printing? or derived from accounting notation? My point being that an adult who appreciates what I've just written (and more along these lines= ) would appreciate some thing very deep about math (including how to calculate 10% discounts by shifting numbers to the right). Gospel Math. 1839 = ; Dividing into cases = ; Sometimes you can reduce the number of pig= eonholes by dividing into cases. pg.96, The Art and Craft of Problem= Solving, Paul Zeitz, 1999, John Wiley & Sons, Inc.= 1639 = ; Examination of cases &nbs= p; One of the methods of proof is examination o= f cases, for example, considering odd and even separately, as in a proof= of 1+2+3+...+ n =3D n(n+1)/2.1640 &= nbsp; Frac= tal multiplication: Recopying the whole &nbs= p; A whole can be recopied (however many copies), then agai= n, then again. = This is like fractal multiplication, as with your five-legged starfish whose each leg holds another five-legged starfish. It is like multiplyi= ng by powers of 10. The addition rule is at work, adding exponents as in (1= 02)(103) =3D 10**5. Multiplying by 10 or dividing by 10 shifts the n= umber with regard to the decimal point, although it looks like the decim= al point is moving. We may think of this as simply changing the units, = the base unit, which may be unknown.1526 = ; Repe= atedly folding paper If a rectangular paper is folded in half, and half again, and yet again= , and so on, and they are all considered repeatedly applied transformation= s of the same whole, then that is fractal multiplication, "recopying the whole", as with your paper snowflake. If a paper is folded once, and then again, and again, but those acti= ons are thought as taking place separately, and especially, if I'm focused o= n the labelled components (rather than the repeating whole), then it is label multiplication, "redistributing the multiple", as with your pie halves sliced in five slices each. 1765
		= Empathize - Implicitly Understand
		Empathize - Imp= licitly Understand 171 = Empathy Map = ; develop a customer profile 316 = Fishbowl &= nbsp;observe conversational dynamics 317 = Give-and-Take Matrix &= nbsp; map out actors' motivations, interactions 315 = Pain-Gain Map &n= bsp; understand a person's motivations and decisions 314 = Show and Tell &nb= sp; elicit stakeholders' views 318 = Show Me Your Values &nb= sp; understand employee's perceptions of what values are i= nvolved 319= = Stakeholder Analysis &= nbsp; identify stakeholders and how to engage them 320 =
		= How does it seem to me?
		How does it seem to me?&= nbsp; Tracking the whole, introspecting. I= magine how people see things based on their circumstances.53 Empathetically modeling a particular mind's thinking &n= bsp; 1411 = Contemplating revelation &= nbsp; Conversing with: greater than human perspectiv= e I studied the Gospel of John to try to decode what he was saying, = specifically in his "I am..." statements, but also more generally, for i= n that gospel he speaks as if in an algebraic code. He keeps defining a= bstract words in terms of other abstract words, on and on, and I chased = them as if they were equations. At the heart of that seemed to be the w= ill of God that we have eternal life. And that perspective helped me ap= preciate the tension between presuming God to be good or not. And thus = I realized that life is the fact that God is good, which conflates God a= nd good as if they were the same, but eternal life is the understanding = that God does not have to be good, so that God and good are separate, an= d there is an eternal life in reconciling God beyond the system and good= within the system.605 = Imagine another person's mind&n= bsp; Conversing with: mind In tutoring, I = would often understand my students by trying to model their mind, and so= imagine the obstacles that were keeping them from solving a problem.692 = = Imagining a mind's circumstances Conversing with: presumptiveness I= was studying emotions and read of a set of six that were observed cross= culturally. Mothers would see in their newborn babies six emotions: con= tent, sad, excited, surprised, frightened, disgusted. I realized that I= could generate these, in my mind, by imagining myself as a child surrou= nded by alphabet blocks and trying to guess what letter was underneath.<= span class=3D"mazi">653 = Learn from other's mistakes&nbs= p; Conversing with: menaces Noting other p= eople's failings and failures, I took them as confirmation not to use dr= ugs, not to manipulate other people or think of us as different. I appr= eciated the privileges of my life, my opportunities and my need to apply= myself and my virtues.765 Feeling out my own mind as a mind-in-general = ; Conversing with: mind Conversing with: mind549 = Feel through a specific case&nb= sp; Conversing with: characteristicness Th= e truth of the world follows from the truth of the heart, but not the ot= her way around.= 658 = ; How one thought extends another= thought In studying arg= umentation, I drew a diagram of how my principles unfolded in organizing my Minc= iu Sodas laboratory. I then considered the ways in which one thought ex= tends another thought, especially on that part Z given by God. I related= them to the twelve topologies. I can maintain a state Z. be; refuge for spirit There are situations where I can address Z. do; opportunity to do g= ood Freedom is needed to resolve Z. think; good heart Others have it different than me with regard to Z. one; existential= question I need to consider everybody regarding Z. all; collaborating fate I can complete Z. many; peace I focus on the essence of Z. object; knowledge from obedience I admit my dependence regarding Z. process; duty to obey I may wrongly pursue Z. subject; answered prayer I am unrestrained with regard to Z. necessary; limits of mind I take partial responsibility for Z. actual; inhuman wisdom I must appreciate the opportunity of Z. possible; self-contradictio= n They may relate to ways of figuring things out. 1695 = Introspection = Conversing with: limits of my mind By introspection I= sensed the wholeness of various divisions of everything and how a divis= ion's perspectives fit together.610 = Structural aesthetics &nbs= p; Conversing with: internal imagination I am so= metimes informed by my own personal sense of what is attractive structur= ally. I sense that the foursome, the division of everything into four p= erspectives, is structured to favor idealism over materialism, and the h= uman over the divine, so that How precedes What, Why precedes Whether, a= nd the former shift precedes the latter shift. I've never quite confirm= ed that, but it just seems to my moral sensitivity the way those outlook= s should fit together. Similarly, I understand that good and bad are op= posites, but I generally don't think of them as equals, for example, thi= nking of good as refering to God beyond the system. Good may not be abl= e to stand on its own, but there is a sense in which it doesn't need bad= .639= = Tracking my thinking = ; Conversing with: introspection In watching my = own mind and noting how I look at different cases I see that the directi= on of the twosome changes upon reflection. Our mind shifts readily from= "opposites coexist" to "all things are the same" and not the other way = around. We shift from same to different because "same" implies opposite= s (for things to be the same they must also be different) whereas "diffe= rent" doesn't (different things are just different). But if we think ab= out the words "different" and "same", and thereby distance ourselves fro= m what they mean to our minds, as we so often do, then it seems that dif= ferent involves opposites ("opposites coexist"), and same does not ("all= things are the same").611
		= Onesome: What-Whether
		Onesome: What-Whether &= nbsp; 1513 = ; Euclidean Distance Classifier&= nbsp; Suppose that at the beginning of tr= aining the weights are small and the activation function acts as the lin= ear function. (See: Sarunas Raudys, Evolution and generalization of a si= ngle neurone: I. Single-layer perceptron as seven statistical classifier= s", Neural Networks 11 (1998) 283-296)1384 = ; Serving people of a different background &n= bsp; My patients' lives were a window into a= slice of American life I had never known =E2=80=94 sharecroppers, woode= n shacks on dusty backroads, back-breaking cotton picking for pennies a = pound. Towns whose names littered civil rights history =E2=80=94 Philade= lphia, McComb, Indianola, Yahoo City, Little Rock, Montgomery, Birmingha= m. Life under Jim Crow. "Yes, suh. No, suh." The humiliation of survival= in places where being black meant no chance for justice. The Illinois C= entral ride to Chicago. The promise of jobs. The disappointment of segre= gation and the urban violence that greeted them. "County: Life, Dea= th and Politics at Chicago's Public Hospital" by David Ansell M.D. Copyr= ight 2011, David Ansell M.D. Published by Academy Chicago Publishers. Al= l Rights Reserved. Health. Chicago.19341944 = ; What is most enjoyable for viewers = Fresh Air interview of J.J. Abrams: it's literall= y wanting people to have a good time and to have a little bit of a surpr= ising time. So whenever I'm trying to keep things quiet, it is 100 perce= nt an effort to make the experience of actually seeing the movie or TV s= how more enjoyable for the viewers."1871 = ; Who had an impact on my growth? = ; I sometimes measure my life progress by thinkin= g of the people who have had an impact on my growth as a human being. My= parents, my wife, my children, my friends and colleagues. I number my p= atients among them. Health. Chicago. "County: Life, Death and Politi= cs at Chicago's Public Hospital" by David Ansell M.D. Copyright 2011, Da= vid Ansell M.D. Published by Academy Chicago Publishers. All Rights Rese= rved.1933<= /span>
		&n= bsp;The Decision/Event Tree
		The Decision/Event Tre= e A decision/event tr= ee is a diagram that graphically shows choices and their outcomes at dif= ferent junctures in alternative sequences or chains of events. Each sequ= ence or chain of events is a separate scenario. The branches of the tree are mutually exclusive... The branches are collectively exhaustive... [The decision/event tree]: dissects a scenario into its sequential events. shows clearly the cause-and-effect linkages... shows which decisions or events are dependent on others. shows where the linkages are strongest and weakest. enables us to visually compare how one scenario differs from another= ...reveals alternatives we might not otherwise perceive and enables = us to analyze them - separately, systematically, and sufficiently. A decision/event tree displayed on a screen for all [to see is a way of = structuring a] discussion to ensure that all options are given due consi= deration... consider each option separately and systematically and to na= rrow the choices by visually eliminating those that didn't meet the need= s... A tree is preferable to a matrix when there are unfolding scenarios= . A matrix is preferable to a tree when there is a recurring structure, = an internal structure, or when we're analyzing correlation between indep= endent dimensions. The Thinker's Toolkit by Morgan D.Jones1772 = ; The Probability Tree = the most difficult analytic problems are of the random and indetermi= nate type, where, because facts are scarce, our analytic product depends= heavily on subjective judgments. For that reason, there can be no certa= inty when dealing with random or indeterminate problems. ... Estimating = is what we do when we run out of data. ... The two types of probability= we encounter most often in analysis are mutually exclusive (the "or" ty= pe, where we add probabilities) and conditionally dependent (the "and" t= ype, where we multiply them). ... There are three inviolable rules for c= onstructing probability trees: As with any decision/event tree, the events depicted must be mut= ually exclusive, meaning each event is distinct from the others. Likewise, the events must be collectively exhaustive, meaning they m= ust include all possible events in the scenario being analyzed. The probabilities of the branches at each node ... must equal 1.0 The Thinker's Toolkit by Morgan D.Jones1776 &n= bsp; The Utility Tree utility is the benefit that= someone has received, is receiving, or expects to receive from some sit= uation. ... It is the reason why that person has taken, is taking, or wi= ll take a certain action. ... humans, when confronted with a choice betw= een alternative courses of action (alternative options), choose the cour= se that offers them the greatest utility, and the person making the choi= ce defines what that utility is. ... we call it self-interest. ... The = purpose of utility analysis is to rank any number of options according t= o how they serve the decision maker's self-interest. Construct a decision/event tree for each option [alternative cou= rse of action]. Identify the perspective of the utility analysis. Assign a utility value to each option-outcome combination - each bra= nch (scenario) of the tree - by asking the Utility Question: If we selec= t this option, and this outcome occurs, what is the utility from the per= spective of ...? Assign a probability to each outcome. Determine or estimate this pro= bability by asking the Probability Question: If this option is selected,= what is the probability this outcome will occur? The probabilities of a= ll outcomes for a single option must add up to 1.0 Determine the expected values by multiplying each utility by its pro= bability and then adding the expected values for each option. Determine the ranking of the alternative option. Perform a sanity check. Always separate the analysis (including the discussion) of utility and p= robability. ... even more challenging is analyzing (forecasting) the dec= isions of others ... the harder people work to achieve goals that are in= their self-interest, the greater is the probability of their achieving = these goals. The Thinker's Toolkit by Morgan D.Jones1777
		= Appraise	<= /td>
		= Appraise <= i> How does it seem to me? Appraise. The calm Servant provides the m= otivated Served with an appraisal, judgment, price. This is a microecono= mic perspective.1089 = ; Become aware t= hat a formula is at work = When I was in junior high school I used to spend my allowance on Mad ma= gazine. It seemed at first like very intelligent, fresh, stimulating hum= or and I very much looked forward to it. But over time the formula becam= e apparent. And after a few years I became disappointed and finally lost= interest and stopped buying it. I went through the same cycle with News= week and other publications, where what originally seemed fresh turned o= ut to be an editorial formula that grew stale with familiarity.1004 = ; Deducing peopl= e's motives from their actions <= i> I have a godson in Lithuania and I would give him coins I collect= ed in my travels, but his father would take them away and say that he wo= uld keep them until he got older, so he wouldn't lose them. In time I ca= ught on that he was too keen on the coins himself to ever give them to h= is son so I resigned myself, but I always bring him some from my travels= . I always knew that the main aim of the collection was to educate mysel= f, but it was a bit sad that this education was not relevant to anybody = else, at least not directly.1011 = Internalize another person's reflectio= ns Conversing with: inner contrad= ictions In China, I was visiting a family, and a young doctor told m= e how he grappled with the moral challenges of bribes and gifts given to= doctors, explaining that he would only take gifts after he had treated = the patients, and yet they would think ill of him because he would accep= t their bribes and so they thought he wasn't giving them the best servic= e. As I listened to his story, I thought about my own work as a softwar= e developer, how it most likely wasn't creating any good in society, but= was simply the result of a business opportunity that arose through arbi= trary quirks of government regulation. I realized that I couldn't let m= yself make a living from work that did not add positively to society.777 = = ; Set a price I sold my car. It was a pr= actical car, well kept and I tried to get the blue book price. Somebody = wanted to buy it but they were hoping I would go down and I refused to. = I thought those prices were accurate. So instead I ultimately sold it fo= r quite a bit lower than that, to a friend.1058
		&nb= sp; Empathize

		= Reconcile quickly
	=	Reconcile quickly &= nbsp; Matthew 5:21 "You have heard that it was said t= o the ancient ones, 'You shall not murder;' and 'Whoever shall murder sh= all be in danger of the judgment.' 5:22 But I tell you, that everyone wh= o is angry with his brother without a cause shall be in danger of the ju= dgment; and whoever shall say to his brother, 'Raca!' shall be in danger= of the council; and whoever shall say, 'You fool!' shall be in danger o= f the fire of Gehenna. 5:23 "If therefore you are offering your gift at= the altar, and there remember that your brother has anything against yo= u, 5:24 leave your gift there before the altar, and go your way. First b= e reconciled to your brother, and then come and offer your gift. 5:25 Ag= ree with your adversary quickly, while you are with him in the way; lest= perhaps the prosecutor deliver you to the judge, and the judge deliver = you to the officer, and you be cast into prison. 5:26 Most certainly I t= ell you, you shall by no means get out of there, until you have paid the= last penny. 1= 260 = ; Distinguish between what they say a= nd what they do Matthew = 23:2 ... "The scribes and the Pharisees sat on Moses' seat. 23:3 All thi= ngs therefore whatever they tell you to observe, observe and do, but don= 't do their works; for they say, and don't do.1337 = ; God's intent: The gate for the sheep<= /span> The gate for the sheep - DIF= FERENCE/UNITY IN LISTENING - Jesus is the entry to the culture of those = who live in belief, by which they can go in and out of their culture1971 = ; What should we seek first? Matthew 6:31 "Therefore don't be= anxious, saying, 'What will we eat?', 'What will we drink?' or, 'With w= hat will we be clothed?' 6:32 For the Gentiles seek after all these thin= gs; for your heavenly Father knows that you need all these things. 6:33 = But seek first God's Kingdom, and his righteousness; and all these thing= s will be given to you as well. 1460 = ; What should you do first?= Matthew 7:3 Why do you see the spe= ck that is in your brother's eye, but don't consider the beam that is in= your own eye? 7:4 Or how will you tell your brother, 'Let me remove the= speck from your eye;' and behold, the beam is in your own eye? 7:5 You = hypocrite! First remove the beam out of your own eye, and then you can s= ee clearly to remove the speck out of your brother's eye. 1474
		&nb= sp;Adjacency graph

		= Get to Know - Implicitly Care
	Get to Know - Impli= citly Care 170 = Ice Breaker &nbs= p; introduce people as creative spirits 313 = Low-Tech Social Network &nbs= p; get to know each other <= a href=3D"http://t.co/ju1KSid#312">312 = Trading Cards &n= bsp; embrace each other as self-defined 311
		= What else should I be doing?
		What else should I be doing?= Discerning the whole, choosing a= data set. Engage a dataset with a full variety of roles. 54 Deriving a structure from a complete variety of examples = ; Conversing with: phenomenon 566 &n= bsp; Allowing f= or inconsistency I considere= d the variety of prayer. I noticed that they have us think of God incon= sistently, as one who has fated everything in advance, one who fixes and= manages the situation, and one who can guide us spontaneously.1709 = ; Building my own collection of example= s I reflect on my own activi= ty and study it. I developed and conducted about 40 good will exercises= . As I collected them, I studied how they fell into groups, and analyze= d the nature of the system as a whole. Similarly, I am studying the way= s of figuring things out and organizing them in a House of Knowledge whi= ch turned out to have 24 rooms.1444 = Choose a fruitful data set = ; Conversing with: circumstances for a phenome= non In developing a theory, I often choose a dataset of examples tha= t makes vivid the phenomenon I am looking for and represents the complet= e variety of possibility. I analyzed Jesus' feelings and expectations b= y studying episodes from the Gospel of Mark because it was the most emot= ional of the Gospel. I studied the content of Jesus' parables in the Go= spel of Luke. I studied what is "good" in the Gospel of Matthew. I tri= ed to chase down Jesus' algebra of expressions to understand his "I am..= ." statements in the Gospel of John. I studied Lithuanian folk tales fo= r my narrative theory because they are old, engaging, consistent and pur= e. I studied how God is imagined in the first 40 psalms because I was c= onsidering topologies as the variety of ways that we can imagine and I t= hought of God as the most generic yet intimate of concepts. I studied L= akoff and Johnson's target spaces from Metaphors We Live By because they= had noted an important phenomenon and their many examples seemed to cap= ture the variety of possibility.657 = Collect ways of looking at something Conversing with: variety inherent = in a phenomenon I developed and conducted good will exercises and no= ted different tests for distinguishing the truth of the heart and the tr= uth of the world. In general, three of the tests agreed with each other= . I think the fourth and most important test, whether the person confus= es the truths of the heart and the world, indicates whether the person h= as resolved the conflict or not. Similarly, I noted the different prope= rties of everything, and more generally, the divisions of everything alo= ng with their various representations.660 = ; Compare structural qualities I noticed that the fourso= me, fivesome, sixsome each involve structural shifts but they are of a d= ifferent quality. This was helpful in considering how the primary struc= tures vary.171= 1 &n= bsp; Survey all of the structures that I know = ; I made a survey of all of the conceptual structures that = I had found and was familiar with. I was able to put them together in a= system 1 + 6 + 4 + 1 that is much like half of the House of Knowledge.<= span class=3D"mazi">1708= = Recognize that I have nothing better t= o do Conversing with: causes = Why do I want to know everything? Why am I organizing the kingdom of hea= ven? The most relevant answer that I have found is simply that I have n= othing better to do.796 Manifesting the complete variety that a structure allows for&= nbsp; Conversing with: wholeness 559 = ; Leveraging hypotheses of structural s= ymmetry I often make large a= nd fruitful leaps by considering the structures that operate at the high= est meta level, assuming that they work as efficiently, elegantly, effec= tively as possible, thus supposing that they make profound use of symmet= ry. In 1988, in noting the role of the threesome in the eightfold way, = I looked for and found three variants (Lord's prayer, St.Peter's Keys to= Heaven, Beatitudes). I expected that each served as a framework for a = language and that there were, accordingly, three languages: argumentatio= n, verbalization and narration. I saw that Maslow's hierarchy was a bac= kbone for the Beatitudes and I expected it to play a key role in narrati= on, which I found to be the case. I discovered that there were eight di= visions, six representations and twelve topologies, and that narration m= oved us from the divisions to the representations. I also saw that thes= e structures along with argumentation and verbalization could be conside= red as negations of the representations of the onesome (no internal stru= cture, simplest algorithm, no external context) and negations of the rep= resentations of the nullsome (significant, constant, direct) and so thes= e six structures were themselves a spine for the eightfold way. This al= lowed me to deduce by symmetry that argumentation moves us from topologi= es to representations, and verbalization moves us from topologies to div= isions. Such thinking helps me be alert as to what to look for.1696 = Applying structural possibilities Conversing with: unfolding I stud= ied the statements and truths that arose in developing good will exercis= es. I noted that given the four questions Why? How? What? Whether?, the= heart would address a broader question than the world, with Why being t= he broadest question. This allowed me to categorize the exercises in te= rms of the pairs of levels, and indeed, they related to the counterquest= ions. This left in each case a pair of levels not involved in the count= erquestion. I realized that they were relevant to the doubts which the = counterquestions addressed. And the order in which they were taken up d= etermined whether they led to positive or negative feelings.681 = ; Completing a structure by comparing i= t to a known template The di= visions of everything help me to recognize and complete many structures.= For example, Peirce's three kinds of signs (symbol, index, icon) match= with three of the four levels of the foursome. I have noticed that ver= y often, philosophers give only three of the four levels because if they= are working from a materialist representation, then Why is irrelevant, = and if from an idealist representation, then Whether is irrelevant. Thu= s Why and Whether are null perspectives for the relevant representations= . They are the baselines which the others are thought in terms of.1445 = = Co= mpleting a structure by permuting it = ;Conversing with: missing I can complete a structure by noticing = the available permutations. I noticed that the virtues in Plato's repub= lic (beauty, bravery, self-control, justice) were the four levels of the= foursome colored by the threesome (universal, individual, communal, com= munal). The virtues in St.Paul's hymn to love (love, hope, faith, loyal= ty) were likewise the four levels of the foursome colored by the threeso= me (individual, communal, universal, universal). They had a general for= m (emotion, virtue, internal perspective, external perspective) and a lo= gic (internalizing the external perspective as an internal perspective f= ixes the emotion permanently as a virtue). So I deduced a third set of v= irtues (communal, universal, individual, individual). I searched them ou= t in my understanding of life and found what I was familiar with, honest= y. I permuted the emotions and virtues which I was familiar with from m= y understanding of the division of everything into six perspectives. I = realized that was one representation and that the other representation o= f the sixsome was in terms of internal and external perspectives. Permu= ting I realized that feelings of closeness or intimacy where immortalize= d as honesty when we internalize duty as caring. Thus by permuting I no= ted three expressions of the "meaning of life". Similarly, in studying = Buddha's eightfold way and Jesus' prayer "Our Father", I noticed that th= ey were permutations of the same eightfold structure, and a third permut= ation was the Beatitudes of the Sermon on the Mount.620 = ; Completing a structure with an eighth= perspective I am familiar w= ith many structures that have seven-eight perspectives. The seven persp= ectives form a complete system, yet there is an eighth perspective that = looks from beyond the system. Thus I conjectured that there is an eight= narrative that takes us from Caring to Commanding, and thus is a story = of Creation. Likewise, I conjectured that there must be an eighth count= erquestion that stands aside from any doubt, namely, What do I truly wan= t?1446 = Look for what's missing &n= bsp; Conversing with: incompleteness In childhoo= d I often chose to study whatever I knew the least about. In sketching o= ut a system for self-education, as in mathematics, I keep thinking, what= to add?628=
		= Twosome: How-Whether
		Twosome: How-Whether &n= bsp; 1514 = ; Regularized Linear Discriminant Analy= sis Starting with the Euclid= ean Distance Classifier, assume that tj(1) =3D 1 and tj(2) =3D -1. Analy= ze a change in the weight vector after the second and following iteratio= ns. This yields the weight vector resulting from regularized linear disc= riminant analysis. (See: Sarunas Raudys, Evolution and generalization of= a single neurone: I. Single-layer perceptron as seven statistical class= ifiers", Neural Networks 11 (1998) 283-296)1385 = ; Imagining a different conceptual geometry= Jerry Michalski of The REXp= edition thought of the growth of knowledge as expanding beyond what a si= ngle person (like Leibniz) could know, expanding as if in a radial plane= where various disciplines (math, history,...) carved out and walled off= their own portions. Then one day he reimagined that plane as a sphere = where each person was a point on that sphere with tangents heading off i= n different directions, but the points on that sphere may be starting to= converge, so that people of different jargons are saying similar things= .1756 = = Basket for Jerry<= /span> Dave Gray reimagines Jerry M= ichalski's geometry of knowledge. He draws it as a basket. The idea = here is about the advance of knowledge. The spines are the various disci= plines which must necessarily diverge as we attempt to understand a univ= erse where the unknown always exceeds the known. ... The horizontal weav= ing strands are the threads we weave as we attempt to connect the variou= s disciplines. ... Without the weaving the spines just lay flat on the g= round and radiate out. And without the spines the basket is just a coile= d garden hose on the ground. ... Over time it holds more and more meanin= g, life, knowledge and goodness. It's a cornucopia! :)1760
		&n= bsp;Divergent Thinking
	<= /td>	Divergent Thinking Most of us were not endowed with an inherent ability to think divergent= ly. ... Why is opening up such a struggle? ... we humans are the fastest= criticizers and ridiculers on the planet ... Negative thoughts flood ou= r minds and overwhelm those tiny rivulets of positive notions. The forem= ost challenge in analyzing problems is to think divergently, not just at= crucial points in our analysis but at every stage of the process. ... = I regard as unnecessary overkill the wild, frenzied brainstorming method= s that some people advocate ... Nevertheless, if blitzkrieg methods suit= your purpose, use them. ... I have witnessed many a brainstorming sessi= on in which intelligent people go through the motions of generating idea= s but treat the entire process as kind of a game. ... To analyze a probl= em effectively, we need to be open to ideas, at any time and from any so= urce, from the very outset to the very end of the analytic process. ...= 1) The more ideas, the better. ... 2) Build one idea upon another. Th= e power of brainstorming lies in the freedom and spontaneity of the proc= ess: one idea spawns another and another and another in rapid succession= . Participants are encouraged to say aloud that the idea one is suggesti= ng "builds on" someone else's idea. This statement, which rewards and fl= atters that someone else and reaffirms the connectivity of ideas, adds m= omentum to the process. ... 3) Wacky ideas are okay. ... open the way to= new, practical ideas ... incite humor, which relaxes our paranoid grip = on the mind's generative capabilities and liberates more ideas. This com= mandment, however, bothers most people ... What troubles people is not t= hat an idea is silly or foolish but that they will feel and look silly a= nd foolish suggesting it. ... 4) Don't evaluate ideas. Neither yours no= r especially someone else's. This rule liberates people from their self-= imposed restraints in generating ideas. ... In brainstorming, the practi= cality of ideas is irrelevant. ... When we've finished diverging (exhau= sted our reservoir of ideas), the next step is to focus by winnowing out= the impractical stuff and clustering ideas that are similar. We are no= w in a convergent mode. [In his example, he came up with six clusters an= d a seventh cluster of impractical ideas. I think I could structure his= six clusters.] ... In the third step, we select those ideas that are i= ntuitively practical and promising. ... a further useful step one can t= ake is to perform PROs-CONs-and-FIXes on each of the selected ideas to i= dentify their strengths and weakness and to evaluate their feasibility. = This step also provides an opportunity to revise the ideas, enhancing an= d fine-tuning them. ... Frequently, when I'm discussing a problem with = someone, I'll switch to a divergent mode. But I know that if I don't te= ll the person I'm switching, he or she will get upset, thinking I'm eith= er off on some wild tangent or that I'm really serious about some idea I= 've raised for discussion when, in fact, I'm only testing the analytic w= aters. So I always tell people when I'm brainstorming ... The Thinker's Toolkit by Morgan D.Jones1768
		= Audit
		= Audit = What else should I be doing? Audit. The calm Servant provides the rich = Served with a budget, alternatives, substitutions.<= a href=3D"http://t.co/ju1KSid#1090">1090 = ; Recognizing wh= at I spend my resources on When I was fifteen I visited Lithuania for a summer and I would go to= the dollar store and the lady there would exchange my US money for coin= s from all sorts of countries, I was very excited about that. I even bro= ught her a flower. Later it seemed kind of ridiculous how I had cared so= much about those coins.1041
		&nb= sp; Play our part
	<= /td>	Play our part = 134 Learn roles 95 = Considering who is responsible&= nbsp; 418 = Emulating &nbs= p; 426 = Learning by teaching = ; 488 = Learning each role &= nbsp; 484 = Learning every role = 427 = Mastering a language = ; 474 Our Duties 110 = Considering our duties &nb= sp; 508 = Considering what we need worry about 514 Take charge 81 = Taking up a responsibility = ; 382
		= Be perfect.

		&nb= sp;Total order	<= /td>
		= Total order &nbs= p; Imply model (can order procedures) (Strong induction, decision= making, total ranking, integers) 21 Canon: Sequence =3D> Network (for d= etermining priorities)70 = ; Well-ordering theorem Wikipedia: Axiom 9: For any set X, there is a binary relation R wh= ich well-orders X. This means R is a linear order on X such that every n= onempty subset of X has a member which is minimal under R. ... Given Zer= melo-Fraenkel axioms 1-8, there are many statements provably equivalent = to axiom 9, the best known of which is the axiom of choice (AC), which g= oes as follows. Let X be a set whose members are all non-empty. Then the= re exists a function f from X to the union of the members of X, called a= "choice function", such that for all Y element of X one has f(Y) elemen= t of Y. Since the existence of a choice function when X is a finite set = is easily proved from axioms 1-8, AC only matters for certain infinite s= ets. AC is characterized as nonconstructive because it asserts the exist= ence of a choice set but says nothing about how the choice set is to be = "constructed." The Well-ordering theorem seems tightly related to th= e concept of a total order. It's interesting that it's related to the a= xiom of choice.1167 = ; Strong induction &n= bsp; Strong induction gets its name because we use= a "stronger" inductive hypothesis. After establishing the base case, we= assume that for some n, all of the following are true: P(n0), P(n0+1), = P(n0+2), ... , P(n), and we use this assumption to prove that P(n+1) is = true. Sometimes strong induction will work where standard induction doe= sn't. ... Behind the idea of strong induction is the notion that one sho= uld stay flexible when it comes to defining hypotheses and conclusions.<= /i> pg.52, 54, The Art and Craft of Problem Solving, Paul Zeitz, 1999, J= ohn Wiley & Sons, Inc.1501 &nbs= p; = Tally multiplication: Rescaling the multiple = ; A multiple can be rescaled. This is like ski= p counting or repeated addition. Note that here the numbers added are c= ardinals, which is to say, we don't care in each subgroup what order the= y had, it's not relevant, we're simply adding up the sums. This is a rec= ounting, a shift from larger units to smaller units. 3 x (23 x dollars)= becomes (3 x 23) x dollars. Amount x (large unit) becomes action x (am= ount x small unit) becomes (action x amount) x small unit becomes amount= x small unit. We can count coins by grouping together the pennies, nic= kels, dimes, quarter, placing them in rows or groups of 4 or 5 or 10. N= umber x (Value x Unit) =3D> (Number x Value) x Unit.1528 = ; Cutt= ing a stack of cheese slices = If I have a stack of 10 slices of cheese and I slice them all in two, t= hen: if I'm simply changing the units, so that I'm thinking now of 20= small slices rather than 10 large slices, so that 1 large slice =3D 2 small slices, then I'm skip counting, "rescaling the multiple". if I'm thinking of each large slice as consisting of a left piece an= d a right piece, (a first piece and a second piece, distinguishable or "labelled" with a child's ID 10x2), then I'm "redistributing the multiple", as with "sets, per each". 1764 = Bucket elimin= ation Wikipedia: Buck= et elimination is a satisfiability algorithm. It can be defined as a ref= ormulation of adaptive consistency. Its definitions uses buckets, which = are containers for constraint, each variable having an associated bucket= . A constraint always belongs to the bucket of its highest variable. The= bucket elimination algorithm proceeds from the highest to the lowest va= riable in turn. At each step, the constraints in the buckets of this var= iable x_i are considered. By definition, these constraints only involve = variables that are lower than x_i. The algorithm modifies the constraint= between these lower variables (if any, otherwise it creates a new one).= In particular, it enforces their values to be extendible to x_i consist= ently with the constraints in the bucket of x_i. This new constraint, if= any, is then placed in the appropriate bucket. Since this constraint on= ly involves variables that are lower than x_i, it is added to a bucket o= f a variable that is lower than x_i. This algorithm is equivalent to enf= orcing adaptive consistency. Since they both enforce consistency of a va= riable with all its parents, and since no new constraint is added after = a variable is considered, what results is an instance that can be solved= without backtracking. Since the graph of the instance they produce is a= subgraph of the induced graph, if the induced width is bounded by a con= stant the generated instance is of size polynomial in the size of the or= iginal instance. As a result, if the induced width of an instance is bou= nded by a constant, solving it can be done in polynomial time by the two= algorithms.938
		= Prioritize - Implicitly Commit
	Prioritize - Impli= citly Commit 169 = $100 Test &= nbsp;assign relative value 307 = 20/20 Vision &nb= sp; agree how to rank initiatives 304 = Build the Checklist &n= bsp; order tasks or rank tasks 309 = Dot Voting = ; converge on ideas which capture most interest 306 = Forced Ranking &= nbsp; agree on priorities 305 = Impact and Effort Matrix &nb= sp; ground commitments 308 = Pro/Con List &nb= sp; identify key pros and cons to weight for decision 303 = Value Mapping &n= bsp; get feedback on what features are important 310
		= Would it make any difference?
		Would it make any differenc= e? Discerning the parts, contrast= ing dimensions. Compare and contrast what aspects are most important= . Tease out contradictions.55 Comparing instances of a structure &nb= sp;Conversing with: example 551 = Compare perspectives = ; Conversing with: dialogue I compared my answer= s to the 12 questions with what I imagine God answers to be. I realized= that I live in circumstances but God does not; and that I myself wish f= or God to be, but God need not wish to be. My perspective sometimes dif= fers from my parents' and other people's.593 = ; Compari= ng structures Conversing with: ge= nerality I note and compare different versions or variants of the sa= me structure, such as St.Peter's Keys to Heaven (his string of virtues f= rom faith to love, Peter 2 1:5-7) and Buddha's eightfold way and other e= xamples of what I call the "eightfold way". The counterquestions, kinds= of prayer, ways of engaging the violent, ways we change our mind, all e= xhibit the same underlying structure. This helps me look at the same st= ructure from different perspectives. The variations may fall into diffe= rent groups, as with the various representations of the divisions into e= verything, or the four families of primary structures. The different exa= mples help to confirm the shared structure and its basic features.619 &= nbsp; Properties of living sys= tems I compared various stru= ctures I thought were related to properties of life, of living systems, = expressing them from different points of view.1664 = ; Compatibility with structures I know<= /span> In Scripture I sometimes fin= d references to images and numbers that bring to mind the conceptual str= uctures that I have been documenting. I noticed how the seven days of c= reation could mean events for God, thus the seven divisions of everythin= g, which they match in number. And so I think of creation as an operati= on +1 of reflection. And I notice with interest that the creations of t= he first three days are governed by the creations of the next three days= , as noted by bishop Skvireckas in his notes to his translation of the B= ible into Lithuanian. Similarly, I notice that Ezekiel's chariot of God= is carried by four creatures, like the four representations of the null= some, or the four representations of everything. I notice that there ar= e 24 elders in Revelations. Such coincidences spark my mind and encoura= ge me to think that I may be on track, overall.1954 = ; Find correlation= s between structures As = I studied Jesus' emotional responses, I looked for correlations between = his emotional responses, why he had the emotional response, ways he got = things done, ways he showed good will, the avenues opened up for the goo= d, and the directions of the good.1472 = Noting a familiar structure&nbs= p; In developing the good will exercises,= I was alert to the relevance of structures that I was familiar with, su= ch as the foursome (which arose as the four tests of the truth of the he= art and the truth of the world) and the threesome (which gave the struct= ure of the exercises). Similarly, in organizing the ways of figuring th= ing out with the House of Knowledge, I recalled the structure 4 + 6 wher= e there are 6 pairs of 4 levels.617 = Selecting canonical formulations Conversing with: exceptionality St= ructures refer to perspectives that are deeper than words, deeper than a= ny particular example. How can we think about them and talk about them?= I try to choose words and instances that are canonical. Where possibl= e, I look for the simplest words from every day life that have basically= that meaning. I used to call the threesome "being, doing, thinking" or= "existing, acting, reflecting" or "communal, individual, universal". O= ver time, I realized that these were better thought of as representation= s of the threesome. I now talk about the deeper structure as "taking a = stand, following through, reflecting".629 Contrasting possibilities within a system &n= bsp; Conversing with: opposing view 544 = Appreciate a person's weakness&= nbsp; Conversing with: obstacles I once as= ked a colleague what their deepest value was and, when they told me, I w= as taken aback, because I thought it personally happened to be their wea= k point. As I thought about myself and others, I decided that a person'= s deepest value is both their strong point and their weak point.751 = Contrast dimensions = Conversing with: tension in possibilities In an= alyzing emotional responses, I noted three dimensions: positive vs. nega= tive, calm vs. riled, sensitive vs. insensitive. I later saw how these = were relevant in the good will exercises. In analyzing the counterquest= ions, I saw how they related a perspective with a situation.669 = Finding the obstacle = ; Conversing with: weaknesses Recognize in the t= hree-cycle (take a stand, follow through, reflect) where am I stuck and = thus feel riled.678 = Spanning the obstacle &nbs= p; Conversing with: strengths Assimilate the tru= th of the heart.679
		= Threesome: How-What
		Threesome: How-What &nb= sp; 1515 = ; Standard Fisher Linear Discriminant F= unction Given the Regularize= d Linear Discriminant Analysis, when t goes to infinity, then we get the= Fisher discriminant function. The standard Fisher linear discriminant f= unction was proposed by Fisher in 1936. It is the first known classifica= tion rule. In 1951, Anderson showed that it can be obtained from optimal= statistical decision function theory. We assume multivariate Gaussian c= lasses with a common covariance matrix (GCCM). Into the model we insert = maximum likelihood sample estimates instead of unknown parameters. The F= isher rule requires the inversion of a sample-based covariance matrix. T= his is problematic when we have a small learning set and large dimension= ality. The adaline linear classifier of Widrow and Hoff is identical to = the Fisher rule when we have the same number of learning vectors from bo= th competing classes. (See: Sarunas Raudys, Evolution and generalizatio= n of a single neurone: I. Single-layer perceptron as seven statistical c= lassifiers", Neural Networks 11 (1998) 283-296)1386 = ; How may society be changing for the better? Jerry Michalski of The RE= Xpedition notes that businesses are turning away from "consumer" culture= and towards person-to-person relationships with customers, clients, gue= sts, citizens, members, participants, households...= 1759 = ; How one concept misrepresents another = ; Fresh Air interview of doctor David Ansell, J= une 15, 2001: Working at County, Ansell says, made him realize just h= ow much the current payment system drives health care inequalities. "The= re's a misunderstanding that if you just go to the [emergency room], tha= t's health care," he says. "It's not. ... And I don't think the public o= r politicians really understand that. Health. Chicago.1931 = ; Surveys of different populations &nbs= p; Many years later, colleagues of mine conducted = door-to-door health surveys in Chicago's poorest neighborhoods. More tha= n a third of those surveyed had higher rates of depression, asthma, hype= rtension and smoking than those in white communities. "County: Life= , Death and Politics at Chicago's Public Hospital" by David Ansell M.D. = Copyright 2011, David Ansell M.D. Published by Academy Chicago Publisher= s. All Rights Reserved. Health. Chicago.19341941
		&n= bsp;Pairwise Ranking
		Pairwise Ranking The= paramount feature of weighted ranking is its method of ranking each ite= m against each other. ... We thus systematically compare each item with = every other item. ... If, by chance, two items end up with the same numb= er of marks because our analysis was inconsistent, we simply rank these = two items head to head to break the tie. ... It doesn't permit us to tak= e analytic shortcuts that shortchange our analysis. We must analyze and = make a decision on each member of every pair. ... Ranking things in pair= s is something the mind can do easily, quickly, and effectively. The min= d does love to focus. ... Pair ranking also provides reliability. ... Wh= at happens is that the process delivers the rankings. ... As you practic= e pair ranking, you'll discover that sometimes you can quickly determine= with certainty which item is going to be first or which last. When you = do, make a note of it and don't include that item anymore as you rank th= e others. The Thinker's Toolkit by Morgan D.Jones1773 = ; Instinctive ranking = Now rank these fifteen movies from best to worst according to your pe= rsonal likes and dislikes. ... The main defect in our instinctive method= lies in our tendency ... to view problems one-dimensionally ... to focu= s on (glom on to) the first solution that makes sense. Thus, the moment = we think of a reason - any sound, persuasive reason - to like or dislike= one of the movies on our list, we tend to latch on to that reason, make= our ranking decision on that basis, and move on without considering our= other likes and dislikes, which may actually be more important to us. = ... It is well and good to use stringent criteria in making decisions, b= ut we should be sure we have considered all relevant criteria and have a= pplied all of the criteria equitably to all of the decisions. ... By app= lying different criteria to different ranking decisions, we distort our = analysis, which can lead to gravely disappointing outcomes that later ma= ke us wonder what went wrong. ... There are two inherent weaknesses in o= ur instinctive method. First, we tend to apply different criteria to the= different items being ranked. Second, we tend to regard all of our cri= teria as having equal importance to us ... For that reason, rankings gen= erated with our instinctive method tend to be inconsistent and are thus = unreliable. ... your mind doesn't distinguish between vital and nonvital= matters when it comes to ranking. The Thinker's Toolkit by Morgan D.Jones2140 = Multiple Classes of = Outcomes In most prob= lems there is a bevy of outcome classes that we consider when choosing a= mong alternative courses of action. ... each class equates to a differe= nt perspective. = 1) Identify the outcome classes and each one's range of outcomes= and weight each class according to its importance. 2) Construct for each class of outcomes a utility matrix with identi= cal perspectives and options. Perform Steps 3 through 6 with each matrix 3) Assign utilities from 0 to 100 to the outcome of each option-outc= ome combination (each cell of the matrix). = 4) Assign a probability to the outcome of each option-outcome combin= ation (each cell). 5) Compute expected values. 6) Add expected values for each option and enter the totals in the "= Total EV" column. 7) Construct a single merged matrix with the same options as in the = classes-of-outcomes matrices. 8) Enter opposite each option the total expected values for that opt= ion from the classes-of-outcomes matrices. 9) Multiply the total expected values under each class of outcomes b= y the class's weight. 10) Add the resulting products (weighted expected values) for each o= ption and enter the sums in the "Total Weighted EV" column. 11) Rank the options. (The one with the greatest total weighted expe= cted value is the preferred option.) 12) Perform a sanity check. One can, of course, take multiple-outcome analysis one step further by a= nalyzing each class of outcomes from multiple perspectives, but I strong= recommend against it. Combining multiple-outcome and multiple-perspecti= ve analysis would spin the analytic web much too fine. Doing so is akin= to studying subtleties - lesser factors and lesser issues ... they neve= r play a significant role. The Thinker's Toolkit by Morgan D.Jones2153 Multiple Persp= ective Utility Analysis = It is frequently advisable, even necessary, ..., to assess utilities = from the vantage of more than one perspective. ... Utility analysis hand= les multiple perspectives quite easily by analyzing each perspective sep= arately (constructing a utility matrix for each) and then merging the re= sults to rank the options. Because the options being weighted are the sa= me for each, the matrices are identical in structure. Ensuring this unif= ormity is critical to the process. Each matrix contains the same options= and outcomes, and the probabilities of the outcomes are identical. Only= the utility values will vary because each matrix ... views the problem = from a distinctly different perspective ... with different self-interest= s in mind. ... This technique for utility analysis of multiple perspecti= ves has wide application in problem-solving situations where conflicting= interests render a choice among alternative courses of action difficult= . Multiple-perspective utility analysis produces decisions that take equ= itable account of each party's interests, especially when these parties = actively participate in the analysis. = 1) Identify and weight the perspectives to be analyzed. = 2) Construct an identical utility matrix for each perspective - same= options, same outcomes. = Perform Steps 3 through 6 with each matrix 3) From each matrix's particular perspective, assign utilities from = 0 to 100 to the outcome of each option-outcome combination (each cell of= the matrix) 4) Assign a probability to the outcome of each option-outcome combin= ation (each cell) 5) Compute expected values. 6) Add expected values for each option and enter the totals in the "= Total EV" column. 7) Construct a single merged matrix - the same options as in the per= spective matrices. 8) Enter opposite each option the total expected values for that opt= ion from the perspective matrices. 9) Multiply the total expected values under each perspective by the = perspective's total weight. 10) Add the resulting products (weighted expected values) for each o= ption and enter the sums in the "Total Weighted EV" column. 11) Rank the options. (The one with the greatest total weighted expe= cted value is the preferred option.) 12) Perform a sanity check. You may wonder why we don't perform step 9 (multiplying expected values = by each perspective's weight) before transfering the total expected valu= es from the utility matrix to the merged matrix. ... first, to view thes= e values side by side, to compare and validate them and, second, to perf= orm more easily sensitivity analysis by applying different combinations = of weights to the criteria... The Thinker's Toolkit by Morgan D.Jones2104 = ; PROs-CONs-and-FIXes = ...humans are compulsively negative... negative thoughts defeat creat= ive object thinking... Negative thoughts can quickly overwhelm and preem= pt positive consideration. A powerful but simple technique for dealing = with this problem is called PROs-CONs-and-FIXes. This rigorous techniqu= e compensates for negative thinking by forcing us to identify the positi= ves first. Only then are we allowed to indulge joyously in the negative= s. But the technique goes a step further by examining the negatives and = trying to think of actions that could be taken to "fix" them, either con= verting them into positives or, if that isn't feasible, eliminating them= altogether. Those negatives (cons) that can't be fixed represent the p= rice one must pay, the burden one must bear, if the thing being evaluate= d is to be adopted or accepted. For each option List all the PROs List all the CONs Review and consolidate the CONs, merging and eliminating Neutralize as many CONs as possible Compare the PROs and unalterable CONs for all options. The Thinker's Toolkit by Morgan D.Jones= 1767 = ; The Utility Matrix <= i>A matrix offers two important advantages over a tree for performing ut= ility analysis. First, the relative differences in utility values of out= comes are more easily perceived in a matrix than in a tree. Second, arit= hmetic calculations are easier to perform. This is due, in part, to the = different configurations of the two structuring devices: a tree is busy,= sort of sprawls out, and is sometimes unsymmetrical, while a matrix is = a compact, tightly organized, symmetrical unit. Also, the focus of a uti= lity matrix is squarely on alternative outcomes, while a tree portrays w= hole scenarios in which outcomes are only a part. Depicting scenarios -= the strong suit of trees - tends to overshadow and divert attention fro= m the outcomes. ... Because it facilitates arithmetic operations ... a m= atrix is more suitable than a tree for analyzing a problem from differen= t perspectives and with different classes of outcomes. Construct a utility matrix. Identify the perspective of the utility analysis. Assign a utility value to each option-outcome combination - each cel= l of the matrix - by asking the Utility Question: If we select this opti= on, and this outcome occurs, what is the utility from the perspective of= ...? Assign a probability to each outcome. Determine or estimate this pro= bability by asking the Probability Question: If this option is selected,= what is the probability this outcome will occur? The probabilities of a= ll outcomes for a single option must add up to 1.0 Determine the expected values by multiplying each utility by its pro= bability and then adding expected values for each option. Determine the ranking of the alternative options. Perform a sanity check. The Thinker's Toolkit by Morgan D.Jones1778 <= p> Weighted ranking= Weighted ranking is essenti= ally pair ranking, but it includes the use of weights (setting the contr= ibution of factors, as in B3) and a table (the factors yielding the inte= rnal structure of a record). List all of the major criteria fo= r ranking. Pair-rank the criteria. Select the top several criteria and weight them in percentiles (thei= r sum must equal 1.0) Construct a Weighted Ranking Matrix and enter the items to be ranked= , the selected criteria, adn the criteria weights. Pair-rank all of the items by each criterion, recording in the appro= priate spaces the number of "votes" each item receives. Multiply the votes by the respective criterion's weight. Add the weighted values for each item and enter the sums in the colu= mn headed "Total Votes". Determine the final rankings and enter them in the last column, head= ed "Final Ranking". (The item with the most points is ranked highest.) Perform a sanity check. So what did weighted ranking buy me over instinctive ranking? ... confid= ence in the validity of the rankings Weighted ranking is good for e= liminating subjective judgments, for comparing objectively. The Thinker's Toolkit by Morgan D.Jones2141
		= Negotiate	=

		&nb= sp; Compare

		= Let your 'Yes' be Yes and your 'No' be No
		Let your 'Yes= ' be Yes and your 'No' be No = What is more than 'yes' and 'no' are conditionals 'if', counterfactuals= , as by which Satan tempted Jesus. Matthew 5:33 "Again you have heard t= hat it was said to them of old time, 'You shall not make false vows, but= shall perform to the Lord your vows,' 5:34 but I tell you, don't swear = at all: neither by heaven, for it is the throne of God; 5:35 nor by the = earth, for it is the footstool of his feet; nor by Jerusalem, for it is = the city of the great King. 5:36 Neither shall you swear by your head, f= or you can't make one hair white or black. 5:37 But let your 'Yes' be 'Y= es' and your 'No' be 'No.' Whatever is more than these is of the evil on= e. 1264 = ; Do I have authority? = ; Jesus is the Son of Man in that Man eve= r teaches him by making an example out of him. So Jesus suffers much ab= use. And, like any abused person, Jesus has the authority to forgive hi= s abusers. To the extent that I and others of us maintain and justify t= his abusive culture, I abuse Jesus, too. And he can thus forgive me and= forgive all as the person upon whom all of our sins and all of the abus= ive culture ultimately bear down. Matthew 9:5 For which is easier, to s= ay, 'Your sins are forgiven;' or to say, 'Get up, and walk?' 9:6 But tha= t you may know that the Son of Man has authority on earth to forgive sin= s..." (then he said to the paralytic), "Get up, and take up your mat, an= d go up to your house." 1656 = ; Can we prolong our lives? Matthew 6:27 "Which of you, by be= ing anxious, can add one moment to his lifespan? 1453 = ; God's love: the good shepherd&= nbsp; The good shepherd - DIFFERENCE/UNIT= Y IN RECOGNIZING - Jesus lays down his life for his sheep, thus they kno= w each other, just as he and God know each other, and he will bring in a= nother flock, and unify them1973 = ; What is anxious for itself? Matthew 6:34 Therefore don't be= anxious for tomorrow, for tomorrow will be anxious for itself. Each day= 's own evil is sufficient.1464
		&nb= sp;Powerset lattice

		= Ground - Explicitly Care
		Ground - Explicitly Care= 168 = Context Map &nbs= p; show effects of context 302 = The 5 Whys = ; discover the root cause 300 = The Blind Side &= nbsp; acknowledge unknowns 301
		= What do I have control over?
		What do I have control over?= Focusing on structure, appreciat= ing its purpose. Relate a structure with its context by making its p= urpose explicit. 56 A structure's purpose Convers= ing with: answer 554 = Applying a structure = ; Conversing with: applicability I knew that my = mind could encompass six perspectives, but not seven or eight, as in the= Lord's prayer, and this helped me figure out how to listen to God. I r= ealized that if I tried to contemplate each line of the Lord's prayer, t= hen this would overload my mind, flatten me out, and indeed I would find= myself before God, as if in my world there was a rift that opened up ab= ove me.621<= /span> = Augmenting a structure with its purpos= e Conversing with: meaningfulness= I had noticed that the good will exercises could be organized into = six groups based on the pairs of questions that they asked from whether?= what? how? why?, the heart asking the broader question, with why? being= the broadest. Then I noticed, starting with a few examples, that the q= uestions could be answered yes or no, and that the heart would answer on= e way, and the world another way. Given a doubt, Is this truly wrong?, = and the counterquestion, Is this the ways things should be?, the world s= ays, "It is wrong, it should Not be this way", but the heart says, "It i= s wrong, it Should be this way", which is to say, that wrong behavior li= ke the crucifixion of Jesus happens for a purpose. ... Yet that is just= background. I included this as an example where that structure (of the= heart's and world's answers to the counterquestions) was augmented with= its purpose. But I forgot how that applied in this case. :(676 = ; <= a href=3D"http://www.ms.lt/sodas/Mintys/Svarba" target=3D"_blank">Consid= er the significance Conversin= g with: fruitfulness As I collected more than 100 "ways of figuring = things out", I wanted to analyze them in more detail, so I needed to foc= us on a sample. I decided to choose the most important, the most charac= teristic ones. First, I considered which ones were important "nodes" in= my diagram of how they unfolded in my thinking, from start to finish. = Later, I looked at ways that belonged to more than one thread in my life= . Finally, I went through all of them and noted for each, what did they= achieve? I grouped them into categories accordingly. Then I rated the = importance of each way on a scale from 2 to 5 and got the average for th= e group. I put the most important groups in the center of a diagram. I= t seemed that the most important ways were the ones that I lived subject= ively, from the inside, and the less important ways I lived objectively,= from the outside.772 &= nbsp; Con= sidering the structure of a null structure = ; In considering representations of the foursome, I noticed= the role of "null perspectives" as reference points for the other persp= ectives. Later, in analyzing the primary structures, and considering ho= w God is injected in them, I noticed that I could think of these structu= res each defined by "null structures" having their own increasingly comp= lex structure. I think I was much inspired by the idea in modern algebr= a of a "kernel" to a group homomorphism, a structure which is mapped to = the identity action.1702 = Evoking structure with a question Conversing with: answer As a fres= hman in college, I had an excellent teacher, Michael Gillespie, for Poli= tical Order and Change. He would start each class with a relevant quest= ion and discussion, and only then proceed to the text we had read, thus = showing how the issues arose organically in conversation. Early on, he = asked, What is happiness? (The text was the Declaration of Independence= .) It was the kind of question to which I sought an absolute answer. I= noticed amongst the answers that some people emphasized joy, as in the = joy of eating ice cream, but others emphasized contentment, as in reflec= ting on that joy, and others emphasized assurance, as in knowing that th= e joy was right and good and real and not a dream. Thus, in the convers= ation, I saw a threefold structure of doing (joy) and thinking (contentm= ent) and being (assurance). I later realized that the question, What is= happiness?, triggered this structure, evoked it.640 = ; P= regnant structure A structur= e may be able to say more than I know it to say, especially along with o= ther structures. When I realized that I could think of the secondary st= ructures could be expressed as God of one level of the foursome injected= into a primary structure from another level, I noticed in particular in= 2003 what happened to the seventh perspective of the primary structures= . They showed an interesting variety of behavior, which I thought of as= six expressions of the will, six representations of anything: = I engage I wait, in suspense I believe I rely I love I suffer Subsequently, I related them to six of the ten commandments, and to Jesu= s' logic of the woes.1697 = Recognize the significance of a concep= t Conversing with: combination The importance of faith in every aspect of the "ways of figuring thing= s out".791<= /span> = Recognizing a structure's purpose &= nbsp;Conversing with: purpose A very powerful technique is to con= sider the purpose of a structure. Over several years I had collected a = dozen or more examples of structural frameworks consisting of seven or e= ight perspectives, depending on how you looked at them. I had tried to = conceive of them as a single structure, yet that seemed less and less te= nable. Finally, I made a list of what seemed to be the purpose of each = structure. I noticed four purposes: An attitude for submitting to God (significant). Catalogi= ng our needs and operating principles to address those needs, yet choosi= ng to live forever. A language for supporting others (direct). Cataloging our dou= bts and counterquestions to address those doubts, translating our intuit= ion. = A world for supporting life (true). Cataloging our expectatio= ns and our emotional responses to them. A plan for supporting God (constant). Listening to God, catal= oging our trials. = (Looking back, it's interesting that I ordered the four differently than= I would now. I thought of them as four representations of the eightsome= , four holes for generating slack, matching the representations of the n= ullsome.) And having grouped them so, I could see that I could think of = them from God's point of view as wishes (for nothing - God is self-suffi= cient; for something - God is certain; for anything - God is calm; for e= verything - God is loving) and our own point of view as not-wishes.625 = Recognizing and reexamining an assumpt= ion Conversing with: purpose = In 1997, after a year developing the good will exercises and a year of d= oing about forty of them, and after much theoretical reflection on them,= I realized that it was better to be peaceful than to be riled. The per= son who is riled is thinking incorrectly, confusing the truths of the he= art and the world, whereas the person at peace is thinking correctly. B= ut my whole purpose of the good will exercises was to deal with situatio= ns where we are riled, where we believe one thing in our hearts, and we = see another thing in the world, and we struggle to follow our hearts. I= t turns out that we are riled because we are confused. I also saw that,= aside from myself, people didn't seek to participate. The exercises hel= ped me with several issues that I had in my life, and they made me more = at peace and appreciate that. So I realized that the exercises were prob= lematic in that they had us start with and focus on our being riled inst= ead of our being at peace. And so I stopped doing them.641 &n= bsp; Survey the evolution of= a perspective Conversing wit= h: goal of evolution As I analyzed the "ways of figuring things out"= , I noticed that several of them seemed to be dialogues with God or myse= lf or others. Indeed, I saw that I could think of each of them as a dia= logue with some quality. I went through my list of ways and wrote down = the quality that I imagined it had me be in dialogue with. Then I group= ed those qualities. I had a chart of the first 55 ways that I had noted= , especially from my philosophical work, where I had organized them by h= ow they had become relevant as my inquiry unfolded. After studying the = ways in terms of their various aspects, I finally tuned into how the "co= nversant" evolved, from very abstract "inner depths" or "infinity beyond= " to a full-fledged "human-in-general", as we presumed ever more aspects= . The "human-in-general" conflates us with our conversant. I noticed th= en that at that point the conversant was no longer imagined, but became = presumed, and so instead, the ways were dialogues with a shared conceptu= al language, which seemed to require us to presume God as well. (I reali= ze now that this also marks the distinction between defining ourselves b= eyond any system and then defining the system that we are in.) We start= to dialogue with our conversants' circumstances, consider them from God= 's point of view. Subsequently, I saw how the four tests for the heart a= nd the world were bridges between us and our conversant, and how the way= s related to structural questions were perhaps six groups of pairs of th= ese four tests, and that taking up God's point of view was the ultimate = way.790 = Taking up a structure &nbs= p; Conversing with: structure By taking up a str= ucture, and appreciating its internal relationships, we can make sense o= f it. I did this with the "meaning of life", deducing a third set of va= lues to correspond with Plato's and St.Paul's. I did this with Steve Bo= nzak's principles of Kung Fu.626 = ; What a structure must do, at a minimu= m In 1988, in Vilnius, I was= studying Lithuanian folk tales in order to develop a theory of narratio= n. I realized that I should break down a tale in terms of atomic units.= I wondered, what is the nature of such a unit? What is its purpose? An= d I realized that, at a minimum, it must be able to keep our attention. = I noticed that it must create tension, but soon enough, it must relax t= hat tension. Only so can it keep our attention, by switching back and f= orth. This made it possible to define the unit. And I could it define = it directly with regard to the listener or reader (!) and only indirectl= y, slightly arbitrarily, with regard to the teller or writer.1302 The purpose of my circumstances = Conversing with: possibility 562 = Address the causes of my bad mood Conversing with: responsibility I= wondered about the causes of my moods and concluded that sometimes they= have no reason, and perhaps that is their purpose, to kick us out of ou= r usual tracks.= 758 = Coinciding of endeavor and circumstanc= es Conversing with: possibility I wanted to document my accumulated intuition and I realized that I s= hould be able to do this with a good will exercise that focused on what = got going my positive feelings.644 = Distinguish what I have control over Conversing with: irresponsibility<= /i> As a child, I was a bit afraid of plants. My mother had a beautiful= yard with many plants, including a section with dense ivy and large thr= oated jack-of-pulpits. I was suspicious of plants because they seemed v= ery patient, which could be a ruse. I didn't want to allay my suspicion= s simply based on what other people did or thought. Yet I realized that= , if indeed plants might be malevolent, it was beyond my capabilities to= establish that, and so I should accept what people thought.720 = Entertain a doubt &n= bsp; Conversing with: possibility As I child, I found = plants to be suspicious, because of their possibly great patience, thus = unpredictable and dangerous.756 = Moral imagination &n= bsp; Conversing with: how things should be I imagined = what the end of the world must be like, the making tangible of the Holy = Spirit, the return of Christ as the identity of all. As a child, I imag= ined what death must be like, a slowing down of time to allow for a revi= ew and untangling of all of our life.754 = ; What would others want me to do for u= s all? As a child, I appreci= ated that I could have been born anybody. How could I serve us all? Wha= t would others want me to do? Even though I could not ask them, yet I un= derstood that I could imagine what they would have me do, but especially= , if they understood my situation. Ultimately, I decided that the best = thing I could do would be to know everything and apply that knowledge us= efully. As I did that, I kept mindful of others around the world, thinki= ng how my thoughts might be fruitful for them, imagining them rooting fo= r me, and even allowing me to get some rest and relaxation. As an adult= , I have even met such people and we've actually helped each other.1301 =
		= Foursome: Why-How
	=	Foursome: Why-How &= nbsp; 1516 = ; Fisher Linear Discriminant Function W= ith Pseudoinverse Covariance Matrix = Starting with the Standard Fisher Linear Discriminant Function, = we may then allow that the covariance matrix is not invertible. This is = always the case when the number of learning samples is 2N < p + 2 If we = write the weight vector in a certain way, then the weights approach the = Fisher linear discriminant function with pseudoinverse covariance matrix= . This assumes that the inputs of the activation function vary in the li= near interval. We need to have non-limit target values abs(tj)<1. (See= : Sarunas Raudys, Evolution and generalization of a single neurone: I. S= ingle-layer perceptron as seven statistical classifiers", Neural Network= s 11 (1998) 283-296)1387 = ; What is the purpose of= ... in our world? Pamel= a McLean, June 10, 2011. Maybe that is why we need story telling (and= pattern languages) in our post-web world - so that communication is tie= d firmly into context through anecdotes.1836
		&n= bsp;Chronologies and time lines
		Chronologies and= time lines ... a chr= onology, or what Harvard professors Richard Neustadt and Ernest May call= a time line in their thoroughly engaging, highly informative book Think= ing in Time. ... I stumble over information that I expect to be chronolo= gical but isn't ... This compulsion to view events chronologically is re= lated to our instinct to view the world in terms of cause-and-effect rel= ationships ... the mind is programmed to see cause first and effect seco= nd. ... the mind, in order to interpret [otherwise], silently reverses t= he events, just as it reverses the order of object and actor in passive = voice. ... A chronology (time line) allows us to understand and apprecia= te the context in which events occurred, are occurring, or will occur. W= e are then in a far better position to interpret the significance of eac= h event with respect to the problem. Sometimes putting events in chronol= ogical order points to a solution. ... [Neustadt and May] "To see the st= ory behind the issue [the problem], it can help merely to mark on a piec= e of paper the dates one first associates with [the problem's] history. = ... Implicity: vicarious experience acquired from the past, even the rem= ote past, gives such guidance to the present that [the history of the pr= oblem] becomes more than its own reward. = The Thinker's Toolkit by Morgan D.Jones.2138 &nbs= p; Placement = ; A special form of time line is what = Neustadt and May call "placement", whcih means arraying chronologically = the events in public history and details in private life that may affect= the outlook of a decision maker whether the latter be a person or an or= ganization. From this history and details we draw inferences about the d= ecision maker's thinking - motives, prejudices, and so on. = The Thinker's Toolkit by Morgan D.Jones2139
		= Sell
		<= span class=3D"dideli">Sell W= hat do I have control over? Sell. The rich Servant provides the humble S= erved with possibilities, favors, exceptions.1092 = ; Argue my case = to save my situation I a= m due a rather large refund in Lithuania... At their suggestion, I agree= d to cancel my request, which I did, but then they said they would still= have to audit me. I said that it would destroy me and that I would have= to consider instead devoting that time to publicly making my case. My p= riorities are to make sure that the government has my money, to turn in = my declarations, to keep a record of my receipts, and only then to go th= rough the artifice of keeping formal books. I said also that my income c= omes primarily from the United States and since I had to abide by both s= ystems, I gave priority to the United States. We talked a long time abou= t the difference between the two systems, that the IRS gives priority to= the facts at hand rather than the documents, that they give people refu= nds based on what the people say they are due (they could not believe th= is), and that people are audited typically once in their lifetime. I was= running a social enterprise, I support a community center, I didn't owe= the government any money, but it was going to destroy me through this p= aperwork. Finally, the inspector said, but what could she possibly do, s= he had to keep to the law. I said, simply do whatever you can within the= bounds of your powers. So she spoke to her supervisor and he spoke to h= is and they made an exception for me and I finally escaped.1015 = ; Doing whatever= good is possible within the law = ; Finally, the inspector said, but what could she possibly do, sh= e had to keep to the law. I said, simply do whatever you can within the = bounds of your powers. So she spoke to her supervisor and he spoke to hi= s and they made an exception for me and I finally escaped.1020 = ; Mapping out th= e constraints that incomes impose on expenses &nbs= p; Algis Razminas, the leader of the Atzalynas Club, = tried to make a living from it by winning money from projects. But when = we analyzed the projects, the money was tied to particular expenses, wit= h lots of money for consumables, some for wages, but none for essentials= like heating or electricity.1061
		&nb= sp; Declaring my purpose
		Declaring my purpose&nbs= p; 135 = Recognizing our purpose &n= bsp; 528 My intentions 82 = Being offered opportunities&nbs= p; 448 = Declaring my intent = 497 = How would I want to be treated?= 385 = Keep setting goals &= nbsp; 404 = Knowing what I don't want to do= 468 = Knowing what I love = 451 = Knowing what I truly want = 512 = Knowing what I want to devote myself t= o 470 = Recognizing goals &n= bsp; 476 = What do I try to do? = ; 517 = What do I want from others?&nbs= p; 515 Our purpose 109 = Being true to our purpose = 526 = Considering our purpose &n= bsp; 507 Take charge 187 = Being held responsible for your exampl= e to others 383 = Being responsible &n= bsp; 387 = Living as a leader &= nbsp; 384
		= Don't resist one who is evil
		Don't resist one who is evil= Matthew 5:38 "You have hear= d that it was said, 'An eye for an eye, and a tooth for a tooth.' 5:39 B= ut I tell you, don't resist him who is evil; but whoever strikes you on = your right cheek, turn to him the other also. 5:40 If anyone sues you to= take away your coat, let him have your cloak also. 5:41 Whoever compels= you to go one mile, go with him two. 5:42 Give to him who asks you, and= don't turn away him who desires to borrow from you. 1263 = ; Allowing demons to do as they wish<= /a> Matthew 8:31 The demons = begged him, saying, "If you cast us out, permit us to go away into the h= erd of pigs." 8:32 He said to them, "Go!" They came out, and went into t= he herd of pigs: and behold, the whole herd of pigs rushed down the clif= f into the sea, and died in the water. 1625 = ; Do as people wish him to= Matthew 8:33 Those who fed them fl= ed, and went away into the city, and told everything, including what hap= pened to those who were possessed with demons. 8:34 Behold, all the city= came out to meet Jesus. When they saw him, they begged that he would de= part from their borders. 1626 = ; God's work: the light of the world Light of the world -- DIFFEREN= CE/UNITY IN SEEING - give people the chance to escape darkness1974 = ; What questions are productive?<= /span> Matthew 6:31 "Therefore don'= t be anxious, saying, 'What will we eat?', 'What will we drink?' or, 'Wi= th what will we be clothed?' 1458 = ; Why don't people believe? To believe is to accept a way of = figuring things out. Matthew 6:28 Why are you anxious about clothing? C= onsider the lilies of the field, how they grow. They don't toil, neither= do they spin, 6:29 yet I tell you that even Solomon in all his glory wa= s not dressed like one of these. 6:30 But if God so clothes the grass of= the field, which today exists, and tomorrow is thrown into the oven, wo= n't he much more clothe you, you of little faith? <= a href=3D"http://t.co/ju1KSid#1457">1457
		&nb= sp;Decomposition

		= Structure - Understand
		Structure - Understand 167 = Affinity Map &nb= sp; discover patterns relating categories 296 = Card Sort = categorize 298 = Post-Up &n= bsp;generate all relevant ideas 297 = Spectrum Mapping = ; expose the range of positions <= a href=3D"http://t.co/ju1KSid#299">299 = The World Cafe &= nbsp; recognize emergent patterns 295
		= Am I able to consider the question?
	Am I able to consid= er the question? Focusing on part= s, sorting experience. Collect first hand experience and recognize p= atterns. 57<= /span> Categorize examples from personal experience = ; Conversing with: possibilities = 539 = Express intuition in terms of principl= es Conversing with: right behavio= r I or others have intuition on some subject. I learned to express = that in terms of a set of principles, typically seven and eight. With J= oe Damal's help I formulated and analyzed my principles, how to engage e= nemies, and also his principles, how to organize people, and how to get = things done. I likewise worked with Steve Bonzak to formulate and syste= matize his principles of kung fu. 597 &n= bsp; Layi= ng out thoughts Conversing with: = thoughts In studying a question, I may collect a full variety of exa= mples, group them and then lay out the groups as index cards on a table,= and shuffle them around, looking for different dimensions that they may= represent of particular aspects. In this way, I noted 12 ways that I c= onnect with God, but other structures as well, such as the utility of an= Irdakiss standard for import/export of data between tools for organizin= g thoughts. As I do this, a particular structure may come to mind, such= as the 12 topologies, and so I will try to flesh it out.627 = Sort first hand experie= nce Conversing with: possible= experience I have often collected examples from first hand experien= ce and sorted them into groups. For example, I collected personal anecd= otes where I had grappled with a doubt and addressed it with a counterqu= estion. Sorting these situations led to a system of seven counterquesti= ons.600 = ; Cont= ents of Jesus' Parables What= did Jesus have to say? I wrote out each of Jesus's parables from the Go= spel of Matthew and then sorted them into groups based on the point that= each parable was making. I reduced them to eight sayings which I then f= leshed out structurally.1535 = ; Dimensions of organic work: Principles of community org= anizing Joe Damal and I = noted principles of community organizing and grouped them into eight way= s: Address problems of individuals, Stimulate public interest, Heighten = awareness of values, Bring together community resources, Train ourselves= and others to act as leaders, Bring out societal issues that need to be= addressed, Recognize other opportunities for investigations, Challenge = ourselves.1540= = ; Dire= ctions of the Good In what s= ense did Jesus use the concept good? What is good, what are the sources = of good, where does the good come from? I made a copy of the Gospel of L= uke and cut out each reference that he made to the good. I grouped them = according to what was good. I found eight groups which I then structured= .1536 = ; Fail= ing to sort messages from God Once I failed miserably with this method. Almost every morning I liste= n to God and write down what he has to say. After several years, I tried= to see if there were any patterns I could detect. However, the answers = were so rich and intense that I kept getting dozens of dozens of groups,= more and more as I added more data. I wasn't able to find an angle from= which I could group his thoughts to me. He didn't seem too pleased, eit= her.1541 = Sort episodes from the Gospel of Mark&nbs= p; I sorted episodes from the Gospel of M= ark according to my interpretation of Jesus' feelings and how he respond= ed to them.664<= /a> = = Twelve Topologies in Target Spaces = for Metaphor In George Lakof= f and Mark Johnson's book Metaphors We Live By, I wrote out all of their= conceptual metaphors, and grouped them into twelve groups, which I then= matched with the twelve topologies.1534 &n= bsp; &n= bsp; Twelve Topologies in the Psalms I wanted to better understand twe= lve topologies, which I think of as the vocabulary of the imagination. I= n the first 40 psalms, I copied out the instances where God is imagined,= then grouped them according to the mental image used, and came up with = twelve groups, which I then matched with the twelve topologies.1533 = ; Ways= of engaging the violent As = a good will exercise, I and Joe Damal noted our many experiences engagin= g the violent, which I distilled to eight principles for doing so.1538 = ; Ways= of getting things done Joe = Damal and I noted ways of getting things done and grouped them into eigh= t ways.1539 = ; Why = we change our minds Joe Dama= l and I asked dozens of Chicago youth, Did you ever change your mind? an= d Why? and grouped the reasons into eight categories, which I then helpe= d him structure.1537 Interpret examples in terms of existing categories = ; 536 = Contrast types = ; Conversing with: mind's circumstances I analyzed the= six kinds of truths of the hearts and the world given by pairs from the= four levels (why, how, what, whether), what is common to each type, whi= ch I then realized was related to the counterquestions. 665 = Describe behavior in terms of general = principles Conversing with: behav= ior I considered Jesus' behavior, how he got things done to address = his emotional responses based on his expectations. I concluded that he = expected that we are all one and, as a general principle, he spoke to th= e good will in others.667 = Note the behavior that characterizes e= ach category Conversing with: cha= racter I looked in the Gospel of Mark for episodes where Jesus exhib= ited emotional responses and grouped them accordingly. Then for each gr= oup I considered Jesus' behavior, what expectations he had that generate= d that response, and how did he then address his feelings by getting thi= ngs done.668 = Ranking first hand ex= perience Conversing with: val= ue I have collected distinct answers from more than 600 people to th= e question, What is your deepest value in life which includes all of you= r other values? In 2006, I tried to make a map of these values by askin= g my lab's leaders to rank 30 values as to which they personally felt cl= oser to, and which farther from. I thought of these different scales as= sonar readings from which I could reconstruct the underlying geometry.<= span class=3D"mazi">634
		= Fivesome: Why-What
		Fivesome: Why-What = ; 1517 = ; Generalized Fisher Discriminant Funct= ion Starting with the Fisher= Linear Discriminant Function With Pseudoinverse Covariance Matrix, if t= he target values differ from the limiting values, then the smallest devi= ations are obtained for medium size weights, and the activation function= becomes a non-linear function, as does the non-decreasing odd and non-c= onstant function phi (see Sarunas paper). The minimization of the cost f= unction yields a linear classifier very similar to generalized discrimin= ant analysis. (See: Sarunas Raudys, Evolution and generalization of a s= ingle neurone: I. Single-layer perceptron as seven statistical classifie= rs", Neural Networks 11 (1998) 283-296)1388 = Colle= ct examples how TIME IS MONEY is used in English &= nbsp; George Lakoff and Mark Johnson collected exampl= es from everyday language to investigate how metaphorical concepts apply= broadly as mental frameworks and are not simply aspects of language. <= i>To get an idea of how metaphorical expressions in everyday language ca= n give us insight into the metaphorical nature of the concepts that stru= cture our everyday activities, let us consider the metaphorical concept = TIME IS MONEY as it is reflected in contemporary English. = You're wasting my time. This gadget will save you hours. I don't have the time to give you. How do you spend your time these days? The flat tire cost me an hour. I've invested a lot of time in her. I don't have enough time to spare for that. You're running out of of time. You need to budget your time. Put aside some time for ping pong. ... From Chapter 2, The Systematicity of Metaphorical Concepts, of Metaphors= We Live By, by George Lakoff and Mark Johnson, The University of Chicag= o, 1980803<= /span> = ; Choreographing individual moves &n= bsp; Fresh Air interview of boxer Sugar Ray Leonard, June 6= , 2011: "I worked on certain moves that would be a factor in the cont= est =E2=80=94 whether I had to bob and weave or constantly be mobile, al= l those things," he says. "I choreographed my fights in my head before I= faced the opponent."1890 = ; Playing around with connecting two ideas = Fresh Air interview: Abrams explains that t= he concept for Super 8 came from two different movie ideas he was playin= g with in his head: a Stand By Me-like ensemble film based on his own ch= ildhood obsession with filmmaking, and a thriller about the U.S. Air For= ce moving Area 51 and its contents to another destination. "I didn't hav= e more than that, but I had a premise where I thought, 'Oh, that's kind = of a fun ... movie,' " he says. "And while playing with the idea of conn= ecting these two movies, suddenly they started to answer each other's qu= estions."1= 869 = ; Why would somebody say that &nb= sp; "Why would I make up epilepsy?" he screamed. "Give m= e my phenobarbital." I let loose in return. I might be young and inexper= ienced but I was not a pushover. I was nose to nose with my first patien= t =E2=80=94 not what I had imagined when I opted for a career in primary= care. My mind raced as I considered my options. Phenobarbital was a con= trolled substance. What if he was a drug user? I gazed at the pile of ch= arts in front of me. It was hot. The air was muggy. I had patients waiti= ng for me in the hospital when I was done with clinic. Why would anyone = fake epilepsy? He had a point. I had no frame of reference. I could not = afford to get bogged down. I took a deep breath. "What the fuck?" I muse= d. I took his word, wrote out a prescription for three months of a medic= ation I had only read about in a pharmacology book. He grabbed the scrip= t out of my hand, as soon as I wrote it, eyebrows furrowed. "County= : Life, Death and Politics at Chicago's Public Hospital" by David Ansell= M.D. Copyright 2011, David Ansell M.D. Published by Academy Chicago Pub= lishers. All Rights Reserved. Health. Chicago.1934<= a href=3D"http://t.co/ju1KSid#1947">1947 = ; Grouping First, s= tructuring helps the mind make sense out of complex problems. Most prob= lems, even the ones we regard as fairly simple, are much too complex and= ambiguous to analyze without some kind of structuring. I use structurin= g when I work a jigsaw puzzle. I group pieces of the same or similar col= or or texture together - the all-blue sky pieces, for example. I then ar= range these pieces in subgroups according to their shape. This approach = allows my mind to focus on the subgroup of pieces that will most likely = fit, eliminating hundreds of alternatives from consideration. Were I not= to group the pieces, I would be forced to continually scan the entire f= ield of unused pieces to find the few that are likely candidates. Yet th= is is exactly how most of us work a problem. We take in the entire prob= lem (the entire puzzle) with all its complex dimensions (all of its piec= es) in one gulp and try to digest it. Structuring frees us from this tra= p. The Thinker's Toolkit by Morgan D. Jones<= /a>2112
		&n= bsp;Sorting
		= Sorting<= /a> Sorting - what I do i= n grouping jigsaw puzzle pieces - is the most basic structuring techniqu= e. ... Some of us never sort problems into their component parts. ... Ot= hers of us sort, but we do it incoherently or according to misleading as= sumptions about the nature and similarity of the parts. All of us tend = to believe that only complex problems require sorting. The fact is, anal= ysis of even the simplest problems benefits from simple sorting. For exa= mple: In preparing a grocery list, it facilitates shopping to group item= s on the list according to their location in the store. Otherwise, one's= eyes are constantly scanning the whole list to ensure that items have n= ot been missed as one moves from one aisle to another. The Thinker's Toolkit by Morgan D.Jones1769
		= Cut one's losses
	<= /td>	Cut one's losses &nb= sp; Am I able to consider the question? Cut one's los= ses. The motivated Servant provides the humble Served with closure, clar= ity.1093 = ; Failing to get= around the rules When I= entered graduate school at UCSD I was able to live in student housing f= or two years as a primary tenant. The housing was quite affordable. But = as the two years were ending, I forget the details, but I tried to get o= n the list for housing afterwards, and it was morally frustrating becaus= e I think I tried to get around the regulations somehow.1035 = ; Recognize the = inapplicability of an idea When I was six years old my parents opened a bank account for my birt= hday and deposited 10 dollars. And the next year they deposited 10 dolla= rs, too. When my father would go to the bank he would take my book with = him and they would stamp the amount of money that I had which reflected = the interest I had earned, a few cents and yet it excited me that my mon= ey could grow exponentially. However, as I grew older there was inflatio= n, but even more significantly, I realized that the older I grew as a ch= ild, the greater amounts of money I dealt with, and so it was completely= absurd to save money. Finally, my parents let me take out the money and= spend it. I bought an electronics kit that I had wanted. But I realized= that 10 dollars had much less significance to a 12 year old than to a 6= year old. That experience made me very skeptical about the value of sav= ing. I felt negative and so I changed my principles.1003 = ; Work for a per= son with a different perspective = ; I once had a summer job where I was supposed to prepare student= s for the SAT exam. The business owner was very happy to hire me because= of my own excellent scores and put my picture in the ethnic newspaper. = But after a few lessons he let me go. I felt that students should learn = from first principles and also that they should do homework as projects = that they themselves wanted to do. Parents were unhappy that students we= ren't getting any homework and that they weren't being forced to do it. = Somehow it didn't even click in me that I could ever teach students in s= uch a mindless way or that I had actually been fired. 1056
		&nb= sp; My life story
	<= /td>	My life story = 146 = Know my personal heritage = 410 = Recalling my own life story&nbs= p; 420 = Reflecting on the past &nb= sp; 480
		= What God has joined together, don't let man t= ear apart
=		= What God has joined together, don't let man tear apart = ; Matthew 5:31 "It was also said, 'Whoever shal= l put away his wife, let him give her a writing of divorce,' 5:32 but I = tell you that whoever puts away his wife, except for the cause of sexual= immorality, makes her an adulteress; and whoever marries her when she i= s put away commits adultery. ... 19:3 Pharisees came to him, testing him= , and saying, "Is it lawful for a man to divorce his wife for any reason= ?" 19:4 He answered, "Haven't you read that he who made them from the b= eginning made them male and female,* 19:5 and said, 'For this cause a ma= n shall leave his father and mother, and shall join to his wife; and the= two shall become one flesh?' 19:6 So that they are no more two, but one= flesh. What therefore God has joined together, don't let man tear apart= ." 1270 = ; God will not delay justice&= nbsp; Luke 18:1 He also spoke a parable t= o them that they must always pray, and not give up, 18:2 saying, "There = was a judge in a certain city who didn't fear God, and didn't respect ma= n. 18:3 A widow was in that city, and she often came to him, saying, 'De= fend me from my adversary!' 18:4 He wouldn't for a while, but afterward = he said to himself, 'Though I neither fear God, nor respect man, 18:5 ye= t because this widow bothers me, I will defend her, or else she will wea= r me out by her continual coming.'" 18:6 The Lord said, "Listen to what = the unrighteous judge says. 18:7 Won't God avenge his chosen ones, who a= re crying out to him day and night, and yet he exercises patience with t= hem? 18:8 I tell you that he will avenge them quickly. Nevertheless, whe= n the Son of Man comes, will he find faith on the earth?"2062 = ; God's command: the true vine&n= bsp; The true vine - DIFFERENCE/UNITY IN = FATE - Jesus cleans those who keep to his commandment to love one anothe= r as he loves them, thus asking of the Father in the Son's name, and bea= ring fruit; and those who don't, are burned away.1975 = ; How was it in the beginning?&n= bsp; Matthew 19:7 They asked him, "Why th= en did Moses command us to give her a bill of divorce, and divorce her?"= 19:8 He said to them, "Moses, because of the hardness of your hearts, = allowed you to divorce your wives, but from the beginning it has not bee= n so. 1266= = ; Offspring of vipers&nbs= p; Is the viper a reference to the serpen= t of Genesis who tempted Adam and Eve? Matthew 23:33 You serpents, you o= ffspring of vipers, how will you escape the judgment of Gehenna?1574 = ; What is appropriate&nbs= p; Matthew 15:25 But she came and worship= ed him, saying, "Lord, help me." 15:26 But he answered, "It is not appro= priate to take the children's bread and throw it to the dogs."1991 = ; What is the nature of people?&= nbsp; Matthew 19:7 They asked him, "Why t= hen did Moses command us to give her a bill of divorce, and divorce her?= " 19:8 He said to them, "Moses, because of the hardness of your hearts,= allowed you to divorce your wives, but from the beginning it has not be= en so. 1268 = ; Who was responsible for the commandme= nts? Matthew 19:7 They asked= him, "Why then did Moses command us to give her a bill of divorce, and = divorce her?" 19:8 He said to them, "Moses, because of the hardness of = your hearts, allowed you to divorce your wives, but from the beginning i= t has not been so. 1267 = ; Why are the commandments the ways the= y are? Matthew 19:7 They ask= ed him, "Why then did Moses command us to give her a bill of divorce, an= d divorce her?" 19:8 He said to them, "Moses, because of the hardness o= f your hearts, allowed you to divorce your wives, but from the beginning= it has not been so. 1269
		&nb= sp;Directed graph

		= Clarify - Explictly Understand
	Clarify - Explictl= y Understand 166 = Argument Map &nb= sp; acknowledge all positions and make them understandable <= span class=3D"mazi">294 = Atomize &n= bsp;unpack large, messy structures 290 = ; Boundary Matrix = identify relevant links between two disciplines 1692 = = Business Model Canvas = rethink a business model <= a href=3D"http://t.co/ju1KSid#293">293 = Force Field Analysis &= nbsp; appreciate forces both for and against change 291 = Post the Path &n= bsp; clarify the existing process 289 = Prune the Future = ; survey potential for incremental change 286 = Speedboat = identify obstacles to a goal 287 = SQUID &nbs= p;have and track a methodical discussion 285 = Staple Yourself to Something = ; clarify a process's impact on an object = 288<= /p> = The 4Cs &n= bsp;gather and organize information 292
		= Is this the way things should be?
		Is this the way thing= s should be? Focusing on the whol= e, working out a structure. Work out how complicated examples fit to= gether.58 Expressing the structure of my mind &n= bsp;Conversing with: structure 552 = Define structure in terms of itself Conversing with: expression, langua= ge Structure is complete when it can define itself in terms of itsel= f. This is the case with the threesome, and with the totality of struct= ure, including the three languages.633 = ; Describing structure in terms of stru= cture I am encouraged, in an= alyzing a new structure, to find that it leverages or interfaces with st= ructures that I know from before. As I was studying the virtues from Pl= ato's Republic and from St.Paul's hymn to love, I linked them to the fou= rsome, threesome, twosome, sixsome and their representations.1542 = ; Describing the structure of my mind's= actions on structure As I n= ote structures that my mind encounters, I study how my mind interacts wi= th them, and I note the structures that describe such interactions. For= example, I realized that my mind conceives a division of everything as = one of two or four representations, and those representations are organi= zed by the division of everything into two or four perspectives, respect= ively.1543= = ; Noting the limits of my mind&n= bsp; In defining the divisions of everyth= ing, I noted the limits of my mind in terms of the perspectives that I a= m able to take up.1545 = Working out a structure &n= bsp; Conversing with: airtightness I analyzed th= e eightfold way's structure, its various permutations and how its variou= s pieces fit together, for example, the gradation of six levels which fo= rms its spine and organizes the divisions of everything.618 Study an example in all its details &n= bsp; Conversing with: wholeness550 = Analyzing examples &= nbsp; Conversing with: wholeness I studied the languag= e of Argumentation by diagramming the principles that I took up over tim= e as I pursued my business and laboratory, Minciu Sodas.613 = ; Distinguish different kinds of = nodes in a diagram In st= udying argumentation, I analyzed how my principles unfolded in organizin= g my Minciu Sodas laboratory. In my diagram, I used different colors to disting= uish different kinds of "driving ideas": Black is for my personal principles. Those are reasonings that m= ight not apply to other people, but seem to be fixed in my life, they ar= e the definition of who I am. I'm morally bound to be true to them, to t= he extent that they express my person. Blue is for my personal opinions. They are the conclusions I have dr= awn from my own experiences in my own situation. They might actually be = wrong, but I live with them as the best that I can draw from my real lif= e experience so far. They are practical observations about the world I l= ive in. Red is for my personal decisions. They are the choices that I have m= ade to try to solve the pressures and conflicts of my principles and opi= nions. Usually it's the only positive choice that I can think of. But it= 's a choice that is optional, it's a step that I could have simply not t= aken. Green is for my personal inspirations. They are the extra ideas that= weren't necessary but I wanted to throw into my life. They are the idea= s that represent the most freedom that I exercise. I think that assigning the colors helped me think further, how does one = thought extend another thought?1694 = ; Immersing myself in a single example<= /span> I spent much time analyzing = the folk story "Ragana and Jonukas" as a representative example of folk = stories in general. I wanted to understand the details and be able to e= xplain their relevance.1544 = Observe history in the making&n= bsp; Conversing with: history World news i= s repetitive. It is typically reported before, during and after it happe= ns. And in Lithuania's independence movement, I witnessed how people di= d not consider creative alternatives but looked to known solutions, name= ly, independence.767
		= Foursome: Why-Whether
		Foursome: Why-Whether &= nbsp; 1518 = ; Minimum Empirical Error Classifier When the limit values are the = targets, then for two distant classes it is possible to obtain very high= weights upon applying the minimizing cost function. Then the activation= function is acting as a hard limiting threshold function. If one avoids= local minima by using global minimization techniques, then one obtains = a classifier similar to the minimum empirical error classifier. (See: Sa= runas Raudys, Evolution and generalization of a single neurone: I. Singl= e-layer perceptron as seven statistical classifiers", Neural Networks 11= (1998) 283-296)1389 = ; Can the amount of protein that we eat= change the activity of an enzyme? <= i> How does protein intake affect cancer initiation? Our first te= st was to see whether protein intake affected the enzyme principally res= ponsible for aflatoxin metabolism, the mixed function oxidase (MFO). Thi= s enzyme is very complex because it also metabolizes pharmaceuticals and= other chemicals, friend or foe to the body. Paradoxically, this enzyme = both detoxifies and activates aflatoxin. It is an extraordinary transfo= rmation substance. At the time we started our research, we hypothesized = that the protein we consume alters tumor growth by changing how aflatoxi= n is detoxified by the enzymes present in the liver. ... After a series = of experiments, the answer was clear. Enzyme activity could be easily mo= dified simply by changing the level of protein intake. pg.51, T.Coli= n Campbell, Thomas M.Campbell, The China Study, 2006. Health.1830 = ; Impact on ecol= ogical balance Fresh Air= interview of Michael Hiltzik about the Hoover Dam, June 8, 2010: "Wh= en you dam a river, basically you reduce the flow downstream. That's goi= ng to affect wildlife habitats. In certain rivers, you're going to destr= oy the spawning grounds for fish like salmon, you're going to destroy we= tlands =E2=80=94 you're really interfering with a lot of the ecological = balance when you build a dam.1878 = ; Looking at basic conditions and services &n= bsp; Fresh Air interview of doctor David Ansell= , June 15, 2001: The first time Dr. David Ansell went into the men's = room at Cook County Hospital in Chicago, he immediately ran out. "It was= so bad, I couldn't use it," he says. "I ran across the street and had t= o use the bathroom there. It was quite an introduction to my first day a= t County." Health. Chicago.1930 = ; Looking for reasons for discrepancies = ; Fresh Air interview of doctor David Ansell, J= une 15, 2001: On the South Side of Chicago, the life expectancy of an= African-American male is eight years lower than that of a Caucasian man= , Ansell explains. "When you look at the reasons for it, at least half o= f this is [because of] heart disease and cancer and things that could be= treated," he says. "One of the problems with our current system is segr= egating people by insurance status, which ends up limiting the options o= f care =E2=80=94 especially when you get down to the specialty care that= people need." Health. Chicago.1932 = ; What is fair Fresh Air interview of doctor David Ansell, June 15, 2001: The only= fair way to do this is where people have a card that gets them in, wher= e that card is accepted widely and broadly by everyone, and [giving peop= le] choice," he says. "So you could go anywhere you want, you get the ca= re you want, and choose your own doctors =E2=80=94 and that would be som= e sort of universal plan =E2=80=94 Medicare for all, single-payer. We ne= ed a system that really gives patients =E2=80=94 poor or rich =E2=80=94 = adequate care." Health. Chicago.1929 = ; Whether I a= m right Pamela McLean, A= pril 11, 2011: My hunch is that any ideas I might put forward on deve= loping educational systems would probably be 99% ignored and 1% ridicule= d - but I might have got the proportions wrong.= 1278
		&n= bsp;Causal Flow Diagramming
		Causal Flow Diagrammin= g Even when we fully = understand what "the problem" is, we all too often have a poor comprehen= sion of what is causing it; lacking that vital knowledge, we resort to t= hat timeworn problem-solving method called trial and error with its focu= s glued to the first plausible corrective option we think of. All events= in life are the results, the outcomes, of previous events. Life itself = is a collage of ecological cycles, all intertwining, mingling, overlappi= ng, sharing, and competing, all linked together in countless ever-evolvi= ng chains of cause-and-effect relationships. Likewise, every problem we = analyze is the product of a definable cause-and-effect system. ... ident= ifiying that system's components and how they interact to produce the pr= oblem is essential to effective problem solving. ... illuminating these = components and their interactions can validate or invalidate our initial= assumptions about how the system works and uncover hidden biases and er= roneous perceptions. ... What is causing this problem? How are the major= dynamic factors interacting to produce this result? Identify major factors. Identify cause-and-effect relationships. Characterize the relationships as direct or inverse. Diagram the relationships. Analyze the behavior of the relationships as an integral system. ...The most powerful driving force in any cause-and-effect scheme is the= so-called feedback loop in which two or more factors are linked circula= rly in continuous interaction. ....[if] all of the linkages are direct r= elationships, or if there is an even number of inverse linkages, the loo= p is inherently unstable and will eventually spiral out of control - in = either direction. ... If there is an odd number of inverse linkages ...= the loop is inherently self-stabilizing and will achieve equilibrium at= some point. ... The causal flow diagram: Identifies the major dynamic forces - the engines - that drive a= situation, how they interact, and whether these interactions are direct= or inverse relationships or form feedback loops. Enables us to view these cause-and-effect relationships as an integr= ated system and to discover linkages that were either dimly understood o= r obscured altogether. Facilitates our determining the source(s) of the problem. Enables us to conceive of alternative corrective measures and to est= imate what their respective effects would be. Causal flow diagrams can be particularly helpful in bringing to light ho= w different analysts working on the same problem view it ... where their= perceptions differ and what their underlying assumptions are ... make s= uch diagrams only as complicated as needed to understand the major force= s at work. The Thinker's Toolkit by Morgan D.Jones1770
		= Assess
		Assess Is this the way things should be? Consult. The calm Servant provides = the humble Served with overview, advice. This is a macroeconomic perspec= tive.1094<= /span> = ; Analyze the fa= irness of the practices that one chooses to follow = ; I worked as a tutor onsite for a business per= son who was idealistic yet calculating and even crass as to his business= practices. He would encourage us not to take lunch breaks saying that s= tudents often didn't show, but in reality a nine hour day of tutoring is= completely draining and in the long run unhealthy and an hour break eve= ry day is essential. He would hire graduate students as independent cont= ractors but not inform them that they needed to set aside, on their own,= 15% of their income for social security. He would say nothing to parent= s when they missed a class or two but only after they had fallen behind = four or five of them would he remind them that they needed to pay for th= e missed classes, thus often trapping them into maintaining the relation= ship. He would have the tutors close and leave with the collected money = in a dangerous neighborhood and hold them accountable for it if it was l= ost or stolen. He would pay tutors less than one third of what he was ch= arging and have them deliver to the parents' great expectations.1059 = ; Are we and our= environment helping each other grow? = We took in a lady I knew from the streets, helped her quit= drinking, and took her in for two years and she worked as a cleaning la= dy. But then I drove her out because I thought that she should move on, = as she was not active in the club's activity with the youth, but just wa= nted them to stay away so the club would stay clean, and didn't want to = do anything more with her life.1038 = ; Avoiding vicio= us circles In high schoo= l there was a student, quite bright, who worked after school. He said it= was so that he could have a car and have insurance for it. And the reas= on that he needed a car was so that he could drive to work. That seemed = to me the most absurd circle of logic that I was all the more careful to= avoid any desires for which I would have to work.<= a href=3D"http://t.co/ju1KSid#1048">1048 = ; Not to be comp= licit with a dysfunctional system &nbs= p; Basically, the expectation in Lithuania is that I hire an acco= untant at least half-time, which I feel is counterproductive but also im= moral as it is contrived work that simply justifies the system.1053 = ; Recognizing ju= stice in reciprocity Aft= er the war in Soviet-occupied Lithuania our grandparents had very little= money yet they still sent packages to their relatives back home includi= ng old suits and shoes and cloth. This made a big difference to the fami= lies' well being. Years later when my grandmother was sick in bed her ni= eces were very happy to take turns to come out and take care of her. So = on the one hand they were illegal workers but on the other hand it was a= beautiful reciprocity.1042
		&nb= sp; Working things out
		Working things out &nbs= p; 165 Our actions 112 = Letting behavior build &nb= sp; 523 = Linking our behaviors &nbs= p; 522 Pattern 107 = Analyzing a pattern = 473 = Noting a recurring idea &n= bsp; 511 = Thinking in metaphors &nbs= p; 529 Solve problems 91 = Apportioning our efforts &= nbsp; 469 = Appreciating what fits together= 400 = Having things work in an orderly fashi= on 465 = Making things up &nb= sp; 428 = Not messing up my hair &nb= sp; 432 = Noting obstacles &nb= sp; 434 = Recognizing problems = ; 477 = Recognizing solutions &nbs= p; 475 = Recognizing what is hard &= nbsp; 478 = Reducing effort &nbs= p; 433
		&nb= sp;Context
		<= span class=3D"dideli">Context O C= ontext If you read the problem carefully, if you understand and foll= ow the rules, then you can also relax them, bend them. You can thus real= ize which rules you imposed without cause. You can also change or reinte= rpret the context. These are the holes in the cloth that the needle make= s. I often ask my new students, what is 10+4? When they say it is 14, th= en I tell them it is 2. I ask them why is it 2? and then I explain that = it's because I'm talking about a 12-hour clock. This example shows the p= ower of context so that we probably can't write down all of the context = even if we were to know it all. We can just hope and presume that others= are like us and can figure it out just as we do. Analogously, in real= life, it's vital to obey God, or rather, to make ourselves obedient to = God. (Or if not God, then our parents, those who love us more than we lo= ve ourselves, who want us to be alive, sensitive, responsive more than w= e ourselves do.) If we are able to obey, then we are able to imagine God= 's point of view and even make sense of it.16
		&nb= sp; Obeying

		= ; Sanity Check
	<= /td>	Sanity Check ...wh= en we have finished using any analytic structuring technique, we always = do a "sanity check" by asking ourselves, "Does this make sense?" If the = analytic result is reasonable, we're probably okay. But if our intuition= tells us something doesn't seem right, we should go back and reexamine = or completely redo our analysis. The Thinker'= s Toolkit by Morgan D.Jones2105
		&n= bsp; Identity
		Identity = John says that the whole concept of identity is very flexi= ble in physics, even shaky. What is a storm? Where does it go when it n= o longer exists? What is the reality of the kludge? You can't know whe= re things come and go in physics. Once you write about it you are not t= alking about physics in the big picture. This is where there is slack a= nd wiggle room. Identity is what allows for eternal nature. We acknowl= edge the storm and, though it comes and goes, yet its eternal nature jum= ps over into us. This is eternal life. In math, there is Context, whic= h can change the meaning entirely, as when 10+4 turns out to be 2'o-cloc= k on a clock. In life, if we obey God, then we can imagine God's point = of view, and that opens up incredible freedom. 855<= /p>
		= The will of God
		The will of God = ; In the gospel of John, Jesus says that the will of = God is eternal life.1259 = ; Fulfill all righteousness Matthew 3:13 Then Jesus came from= Galilee to the Jordan to John, to be baptized by him. 3:14 But John wou= ld have hindered him, saying, "I need to be baptized by you, and you com= e to me?" 3:15 But Jesus, answering, said to him, "Allow it now, for th= is is the fitting way for us to fulfill all righteousness." Then he allo= wed him. 1210<= /a> = ; Heaven confirms &nb= sp; Matthew 3:16 Jesus, when he was baptized, w= ent up directly from the water: and behold, the heavens were opened to h= im. He saw the Spirit of God descending as a dove, and coming on him. 3:= 17 Behold, a voice out of the heavens said, "This is my beloved Son, wit= h whom I am well pleased."1211 = ; How people of good will act so tha= t others not reject them = Jesus and John choose their ways so that people might not reject them, = although they do, even so. Matthew 11:16 "But to what shall I compare th= is generation? It is like children sitting in the marketplaces, who call= to their companions 11:17 and say, 'We played the flute for you, and yo= u didn't dance. We mourned for you, and you didn't lament.' 11:18 For Jo= hn came neither eating nor drinking, and they say, 'He has a demon.' 11:= 19 The Son of Man came eating and drinking, and they say, 'Behold, a glu= ttonous man and a drunkard, a friend of tax collectors and sinners!' But= wisdom is justified by her children." 1863 = ; How to enter into life&= nbsp; Matthew 19:17 ... But if you want t= o enter into life, keep the commandments." 19:18 He said to him, "Which = ones?" Jesus said, "'You shall not murder.' 'You shall not commit adulte= ry.' 'You shall not steal.' 'You shall not offer false testimony.' 19:19= 'Honor your father and mother.'* And, 'You shall love your neighbor as = yourself.'"200= 4 = ; Jesus wants the law to be obeyed Matthew 8:4 Jesus said to him, "= See that you tell nobody, but go, show yourself to the priest, and offer= the gift that Moses commanded, as a testimony to them." 1602 = ; Love your neighbor as yourself Leviticus 19:18 "'You shall not= take vengeance, nor bear any grudge against the children of your people= ; but you shall love your neighbor as yourself. I am Yahweh. ... Levit= icus 19:33 "'If a stranger lives as a foreigner with you in your land, y= ou shall not do him wrong. 19:34 The stranger who lives as a foreigner w= ith you shall be to you as the native-born among you, and you shall love= him as yourself; for you lived as foreigners in the land of Egypt. I am= Yahweh your God.2021 = ; Love your neighbor as yourself Luke 10:25 Behold, a certain l= awyer stood up and tested him, saying, "Teacher, what shall I do to inhe= rit eternal life?" 10:26 He said to him, "What is written in the law? Ho= w do you read it?" 10:27 He answered, "You shall love the Lord your God = with all your heart, with all your soul, with all your strength, and wit= h all your mind;* and your neighbor as yourself." 10:28 He said to him, = "You have answered correctly. Do this, and you will live."2022 = ; Love your neighbor as yourself= "Love your neighbor as yourself" i= s the negative commandment that unites six of the commandments. It shows= the freedom that God opens up for us. Thus it is how God is one with u= s.2024 = ; Noting how people change their sta= ndards to condemn others = Matthew 11:16 "But to what shall I compare this generation? It is like = children sitting in the marketplaces, who call to their companions 11:17= and say, 'We played the flute for you, and you didn't dance. We mourned= for you, and you didn't lament.' 11:18 For John came neither eating nor= drinking, and they say, 'He has a demon.' 11:19 The Son of Man came eat= ing and drinking, and they say, 'Behold, a gluttonous man and a drunkard= , a friend of tax collectors and sinners!' But wisdom is justified by he= r children." 1= 862 = ; The lost child should go where his par= ents will look for him L= uke 2:48 When they saw him, they were astonished, and his mother said to= him, "Son, why have you treated us this way? Behold, your father and I = were anxiously looking for you." 2:49 He said to them, "Why were you loo= king for me? Didn't you know that I must be in my Father's house?" 2:50 = They didn't understand the saying which he spoke to them.1322 = ; The Son is not greater than the Fathe= r Matthew 22:45 "If then Dav= id calls him Lord, how is he his son?"1336 = ; What is an extenuating circumstance= Jesus points to hunger = as a special context, an extenuating circumstance, just as the temple is= and he and his culture is. Matthew 12:3 But he said to them, "Haven't y= ou read what David did, when he was hungry, and those who were with him;= 12:4 how he entered into God's house, and ate the show bread, which was= not lawful for him to eat, neither for those who were with him, but onl= y for the priests? 1949 = ; What makes things possible Matthew 19:24 Again I tell you,= it is easier for a camel to go through a needle's eye, than for a rich = man to enter into the Kingdom of God." 19:25 When the disciples heard it= , they were exceedingly astonished, saying, "Who then can be saved?" 19:= 26 Looking at them, Jesus said, "With men this is impossible, but with G= od all things are possible."2008 = ; What to do to inherit eternal life To inherit is to be a chil= d, a son of the Father. Luke 18:18 A certain ruler asked him, saying, "= Good Teacher, what shall I do to inherit eternal life?" 18:19 Jesus aske= d him, "Why do you call me good? No one is good, except one=E2=80=94God.= 18:20 You know the commandments: 'Don't commit adultery,' 'Don't murder= ,' 'Don't steal,' 'Don't give false testimony,' 'Honor your father and y= our mother.'"2= 068 = ; Who shows mercy = ; Luke 10:29 But he, desiring to justify himsel= f, asked Jesus, "Who is my neighbor?" 10:30 Jesus answered, "A certain m= an was going down from Jerusalem to Jericho, and he fell among robbers, = who both stripped him and beat him, and departed, leaving him half dead.= 10:31 By chance a certain priest was going down that way. When he saw h= im, he passed by on the other side. 10:32 In the same way a Levite also,= when he came to the place, and saw him, passed by on the other side. 10= :33 But a certain Samaritan, as he traveled, came where he was. When he = saw him, he was moved with compassion, 10:34 came to him, and bound up h= is wounds, pouring on oil and wine. He set him on his own animal, and br= ought him to an inn, and took care of him. 10:35 On the next day, when h= e departed, he took out two denarii, and gave them to the host, and said= to him, 'Take care of him. Whatever you spend beyond that, I will repay= you when I return.' 10:36 Now which of these three do you think seemed = to be a neighbor to him who fell among the robbers?" 10:37 He said, "He = who showed mercy on him." Then Jesus said to him, "Go and do likewise."<= span class=3D"mazi">2023= = ; Who will enter into the Kingdom of = Heaven? Matthew 7:21 Not= everyone who says to me, 'Lord, Lord,' will enter into the Kingdom of H= eaven; but he who does the will of my Father who is in heaven. 1491 = ; Whose is what to give?&= nbsp; Matthew 20:23 He said to them, "You= will indeed drink my cup, and be baptized with the baptism that I am ba= ptized with, but to sit on my right hand and on my left hand is not mine= to give; but it is for whom it has been prepared by my Father."2014 = ; 10 += 4 =3D 2 I ask my students, = What is 10+4? and they answer 14, and then I say, No, it is 2! Do you kn= ow why? Because I'm thinking about a clock. 10 o'clock plus 4 o'clock is= 2 o'clock on a clock. What the example shows is that meaning ultimately= depends on the context which we interpret. Any explanations that we wri= te may also be misinterpreted. Thus there is no way to explicitly assure= that somebody means what we mean. However, the context may indeed coinc= ide in all that is relevant to us, either explicitly or implicitly. That= 's why existentialism is important, because it's important for us that o= ur words and concepts be grounded in the questions relevant to our exist= ence. Gospel Math.1840 = ; Axiom schema of replacement &= nbsp; Wikipedia: Less formally, this axiom states that if the = domain of a definable function f is a set, and f(x) is a set for any x i= n that domain, then the range of f is a subclass of a set, subject to a = restriction needed to avoid paradoxes. I think this relates to the = idea that context allows us to "substitute variables" in different ways = and perhaps with different results, different meanings, thus yielding fl= exibility of interpretation.1169
		= Obeying
		<= p>Obeying = 59 Appreciate constraints <= span class=3D"mazi">582 = Obey God = ; Conversing with: God's wisdom Do good. Go to church. Chast= ity. Respect my parents.747 = Pulling structures together&nbs= p; Conversing with: totality I considered = how to pull together all the conceptual structures I found, in my overvi= ew. I likewise considered how the Beatitudes (and Maslow's hierarchy of= needs) served as a framework for the language of Narration.623 = Reinterpret the= system I used to think = that I should be generous to the government with my money and pay it wil= lingly and err on the side of paying more taxes. I wouldn't take the sta= ndard meal deductions because they seemed unrealistically large. But aft= er having such a hard time with my business and realizing that there is = nobody to care for me, I started to take them. I figured that this was t= he system's way of supporting me. 970<= /p> = Value my life = Conversing with: God's gift In China, after a convers= ation with Tong Zhu about the moral dilemmas of being a doctor, I realiz= ed that I was too precious to God to make a living as I had from a job t= hat I did not think contributed to society, coding for a health care sta= rt-up serving a regulatory mandate of dubious merit.776 = ; What does my unconscious allow? As a student, I used to think tha= t I might fall in love with any woman who I found irresistibly beautiful= and good. But then I realized that my unconscious thought otherwise. = My unconscious resisted me having any real feeling for a woman who was n= ot Lithuanian, or at least, didn't speak Lithuanian. I thought that if = a woman truly loved me, then she could readily learn Lithuanian and live= with me in Lithuania. Maybe that's true. But my unconscious mind thou= ght otherwise. So I took to heart my unconscious.<= a href=3D"http://t.co/ju1KSid#1592">1592 Listen to God 555 = Ask God a question &= nbsp; Conversing with: answer In 1985, at the Universi= ty of Chicago, I asked God, what kind of mathematics was important, and = I understood him to say: walks on trees made of the elements of the thre= esome, which I denoted at the time as I (individual action), C (communal= existence), U (universal thought), and I thought related to an infinite= binary tree, which would be the case if I, C, U refered to the edges. I= never quite knew what to make of that although I did prove a result abo= ut counting walks on trees and my thesis could be used to think further = about this. I asked God, why did I have feelings for a woman who was to= o young for me, and he said it was because I will marry her. Also, when= I prayed in the mornings, I would ask God a philosophical question and = , which were very intense and generally more helpful indirectly. Now I = mostly just listen to God, what does he have to say.712 = ; Ask God what I s= hould think over so as to understand? = 1999.08.18: I asked God which questions I should think ov= er so as to understand why good will makes way for good heart. He respo= nded: = What captures attention and guides it? What drops down upon reality and bounces away in random paths? What is wound in one direction, and lives through spinning in the op= posite direction? What falls as rain day and night until there sprout and grow plants = that will bear fruit? What like a ray reflects off of society and does not return? What by its turning (in the direction of winding) commands our atten= tion and then slips away to the side? That's all. Go work. I didn't know what to make of these, but I th= ought they all seemed to point to gyvas rupestis, Lithuanian for = living care, which demands continuous effort but is unconscious o= f it, and is almost the opposite of love. 1470 = ; Ask God what int= erests him? 1999.08.18: = In my personal work I want to do some investigations into a question th= at is of interest to God. I told him so and he responded: Why does Good= Will make way for Good Heart?1468 = Check with God = ; Conversing with: selflessness I check in with God ev= ery so often, including when I have doubts on how I may behave, what is = allowed or not, how not to be selfish.739 = Hear from God in a dream &= nbsp; Conversing with: God's perspective In drea= ms, I heard God say, "Those things are which show themselves to be" and = "This is the fundamental unit of information" (a tableaux of large and s= mall slashes)78= 7 = Hearing what is= needed of me I traveled= with my friend to his home in China. He arranged for me to stay there f= or an additional six weeks with his family. There was no way for me to d= irectly pay his family for food or anything as that would be inappropria= te. However, he took care of that for me. The one thing that he set stra= ight was that I would do my own laundry by hand because otherwise his mo= ther would have to do it. So we agreed on that and it seemed to work out= well.975 = Listen to God = Conversing with: God's wishes God told me, as I liste= ned to him, to investigate God's love in the ways of figuring things out= .713= = Work in tune with God &nbs= p; Conversing with: sensitiveness In China, I as= ked for God's help to write up together how to develop the "good will ex= ercises", which I did with full attention to God.748 = Write down what God says &= nbsp; Conversing with: God's wisdom's noteworthiness= I write down what God tells me each morning, including his answers = to my questions, and I realize that he (or even my unconscious) is of mu= ch more powerful intelligence than I am.780
		&= nbsp;A greater context in which everything can be r= einterpreted and get unexpected meaning

		= Conscientiousness
	=	Conscientiousness &= nbsp; The gap between Servant and Served, expressed i= n the six ways of Serving, comes together as Conscientiousness.1095 = ; Accepting our = parents' values I rememb= er as a child we had to weed our garden every so often. It wasn't especi= ally fun. And we weren't rewarded for it. It was just something that we = were supposed to do. But there was something nice about doing that work = conscientiously and feeling like part of the team, our family.1001 = ; Appreciate tha= t the situation may change Also, it's my position that laws are in flux and they may well change= in my favor as I get to them.1055 = ; Learning from = elders how to do things right I remember as a child our grandmother came from Chicago to visit. = She went outside to broom. I think that we said that we could broom. But= she made a point that we didn't know how to broom. Then she taught us h= ow to broom. By the way, in California we did not use brooms, we would c= lear the pavement by driving everything away with water from the hose.1043<= /p> = ; Making sure to= do enough to show that I am trying &n= bsp; When I started up a business in Lithuania I was very careful= to understand and fulfill all of the rules to the letter. But at a cert= ain point it became clear that for me to do the kind of business that I = wanted to do it would be practically impossible. In particular, in Lithu= ania I am expected, as a sole proprietor, to have a full set of books fo= r my business, including a cash book. And there were many other laws, su= ch as having to write letters to myself before each trip as to my busine= ss purpose, and so on. Whereas in the United States it would be enough t= o have a shoe box of receipts. ... So my thinking is that I do as much a= s I can of the paperwork and keep attentive to it even though it's not p= ossible for me to do absolutely all of what is required, so that I at le= ast am making a good faith effort. 1052 = Offer God a dea= l I was anxious and I to= ld God I was too anxious to work part-time on my philosophy and on the b= usiness too at that point in my life. I offered a deal with him to let m= e focus on the business and I would make the business model work for him= , too. Then I felt more at ease. 974<= /p> = ; Respect what o= ur elders respect Our pa= rents taught us to pick up money from the ground if we found it, even if= it was just a penny. That it was a matter of respect for money. It didn= 't matter if it was worth picking up or not. It was important to treat m= oney with respect.1049
		&nb= sp; Engage God

		= ; Not yet sorted
		Not yet sorted &nb= sp; I'm collecting and sorting ever more ways of figu= ring things out. Please send them to me at ms@ms.lt Thank you! Andrius= Kulikauskas75 = ; = ;Creative constraint Sometimes, as = my debts grew, I would wonder if I should have foresworn from ever going= into debt. But time and again I realized that the pressure of my debts= kept me from sitting still, from stagnating, and forced me to be enormo= usly creative in ways that I probably would not have been otherwise. I = thought of it as a creative constraint that opened up my thinking, just = as such constraints can in the creative arts.1107
		More ways Jesus figured things out
		<= span class=3D"dideli">More ways Jesus figured things out &nb= sp; 1238 Structures Jesus though= t in terms of a variety of structures including the division into four (= the parable of the sower, the tempations by the devil), the eightfold wa= y (the Beatitudes, the Lord's prayer), the threesome (the donkey's mills= tone around your neck). He drew (pictures? diagrams?) in the sand.1243 What is the nature of good? = I did a study of the Gospel of Matthew to see how Jesus variously u= ses the concept "good". He talks of: good heart, good God, good gift, g= ood quality, good person, good deed, good word, good news.1240 Content of Jesus's sayings <= /i> I considered Jesus's parables in Luke in terms of their content. I = think he had eight different things to say.1249
		Other ways: Math
		Othe= r ways: Math 819 = Alternatives to mathematical induction &= nbsp; Edward Cherlin: There are proofs that = depend on the algebraic or topological nature of other mathematical stru= ctures, where you can't do induction because the underlying sets are not well-ordered. This is the essence of category theory and much of model theory.812 = ; Epsilon induction&nbs= p; Wikipedia: In mathematics,-inductio= n (epsilon-induction) is a variant of transfinite induction, which can b= e used in set theory to prove that all sets satisfy a given property P[x= ]. If the truth of the property for x follows from its truth for all ele= ments of x, for every set x, then the property is true of all sets. ...= This principle, sometimes called the axiom of induction (in set theory)= , is equivalent to the axiom of regularity.1578 = ; Forcing (in set theory)<= /span> Wikipedia In the mathemat= ical discipline of set theory, forcing is a technique invented by Paul C= ohen for proving consistency and independence results. It was first used= , in 1962, to prove the independence of the continuum hypothesis and the= axiom of choice from Zermelo-Fraenkel set theory. Forcing was considera= bly reworked and simplified in the 1960s, and has proven to be an extrem= ely powerful technique both within set theory and in other areas of math= ematical logic such as recursion theory. ... Perhaps more clearly, the = method can be explained in terms of Boolean-valued models. In it, any st= atement is assigned a truth value from some infinite Boolean algebra, ra= ther than just a true/false value. Then an ultrafilter is picked in this= Boolean algebra, which assigns values true/false to statements of our t= heory. The point is that the resulting theory has a model which contains= this ultrafilter, which can be understood as a model obtained by extend= ing the old one with this ultrafilter. By picking a Boolean-valued model= in appropriate way, we can get a model that has the desired property. I= n it, only statements which must be true (are "forced" to be true) will = be true, in a sense (since it has this extension/minimality property).1159 Thought experiments in Computer Science &= nbsp; Wikipedia's list of thought experiments in Comp= uter science: Halting problem (limits of computability), Turing machine = (limits of computability), Two Generals' Problem, Dining Philosophers (c= omputer science)859 Thought experiments in Mathematics = Thought experiments in Mathematics: Balls and vase p= roblem (infinity and cardinality), Gabriel's Horn (infinity), Infinite m= onkey theorem (probability), Lottery paradox (probability), Sleeping bea= uty paradox (probability)857
		Other ways: Andrius
		Other ways: Andrius 929
		Other ways		=
	Other way= s 820 Miscellaneous science experiments &n= bsp; Wikipedia has 18 pages related to miscella= neous science experiments. 882 Other ways: Acting My fr= iend Rimas Morkunas is a wonderfully funny actor. I want to study books= by: Co= nstantin Stanislavski (Konstantinas Stanislavskis, An Actor Prepares, (<= a href=3D"http://www.sena.lt/main/catalogItem?category_slug=3Ddokumentin= e_literatura&slug=3Dstanislavskis_konstantinas-aktoriaus_saviruosa&id=3D= 41452">Aktoriaus saviruosa), Building a Character, Michail Chekhov, = Lee Strysberg, Namerovich Danchenko (or Danchenka), Merholdas about biom= echanics, Efroso theatre, Aristotle's poetics.869 = ; = ;An understanding heart to judge God's people, discern between good and = evil Solomon says, 1st Kings 3:= 7 I am but a little child. ... 3:9 Give your servant therefore an unders= tanding heart to judge your people, that I may discern between good and = evil; for who is able to judge this your great people?1690 Other ways: Bible characters = I study ways of figuring things out illustrated by characters in th= e Bible. (I consider God and Jesus separately).871 = ; Wa= rned in a dream, Joseph withdrew to Galilee = Matthew ... Being warned in a dream, he withdrew int= o the region of Galilee, 2:23 and came and lived in a city called Nazare= th1197 = ; Ask all the chief priests and scribe= s Matthew 2:4 Gathering = together all the chief priests and scribes of the people, he asked them = where the Christ would be born. 1183 = ; Ask others to bring word when they k= now Matthew 2:8 He sent = them to Bethlehem, and said, "Go and search diligently for the young chi= ld. When you have found him, bring me word, so that I also may come and = worship him."1= 186 = Be informed &n= bsp; Genesis 9:22 Ham, the father of Canaan, saw the = nakedness of his father, and told his two brothers outside.961 = Be instructed by God = ; Genesis 6:14 Make a ship of gopher wood= . You shall make rooms in the ship, and shall seal it inside and outside= with pitch. 6:15 This is how you shall make it. The length of the ship = will be three hundred cubits, its breadth fifty cubits, and its height t= hirty cubits. 6:16 You shall make a roof in the ship, and you shall fini= sh it to a cubit upward. You shall set the door of the ship in its side.= You shall make it with lower, second, and third levels.947 = ; Be warned in a dream&nbs= p; Matthew 2:12 Being warned in a dream t= hat they shouldn't return to Herod, they went back to their own country = another way.11= 89 = ; Become pregnant &nb= sp; Matthew 1:18 Now the birth of Jesus Christ = was like this; for after his mother, Mary, was engaged to Joseph, before= they came together, she was found pregnant by the Holy Spirit.1177 = ; Children are like parents Matthew 2:22 But when he heard th= at Archelaus was reigning over Judea in the place of his father, Herod, = he was afraid to go there.1196 = ; Joh= n calls Pharisees and Saducees the offspring of vipers &= nbsp; Matthew 3:7 But when he saw many of the = Pharisees and Sadducees coming for his baptism, he said to them, "You of= fspring of vipers, who warned you to flee from the wrath to come?1205 = ; Confession &nb= sp; Matthew 3:6 They were baptized by him in the Jord= an, confessing their sins.1201 = ; Contrasting ourselves with Jesus Matthew 3:11 I indeed bapt= ize you in water for repentance, but he who comes after me is mightier t= han I, whose shoes I am not worthy to carry. He will baptize you in the = Holy Spirit.12= 07 = Endow names with meaning&= nbsp; Genesis 5:28 Lamech lived one hundr= ed eighty-two years, and became the father of a son, 5:29 and he named h= im Noah, saying, "This same will comfort us in our work and in the toil = of our hands, because of the ground which Yahweh has cursed."941 = ; Follow a star = Matthew 2:9 They, having heard the king, went = their way; and behold, the star, which they saw in the east, went before= them, until it came and stood over where the young child was. 1188 = ; Hear from an angel in a dream Matthew 1:20 But when he thou= ght about these things, behold, an angel of the Lord appeared to him in = a dream, saying, "Joseph, son of David, don't be afraid to take to yours= elf Mary, your wife, for that which is conceived in her is of the Holy S= pirit. 1:21 She shall bring forth a son. You shall call his name Jesus, = for it is he who shall save his people from their sins."1191 = ; An= angel told Joseph to flee to Egypt &n= bsp; Matthew 2:13 Now when they had departed, behold, an angel of= the Lord appeared to Joseph in a dream, saying, "Arise and take the you= ng child and his mother, and flee into Egypt, and stay there until I tel= l you, for Herod will seek the young child to destroy him."1179 = ; An= gel told Joseph to return to Israel &n= bsp; Matthew 2:19 But when Herod was dead, behold, an angel of th= e Lord appeared in a dream to Joseph in Egypt, saying, 2:20 "Arise and t= ake the young child and his mother, and go into the land of Israel, for = those who sought the young child's life are dead."<= a href=3D"http://t.co/ju1KSid#1195">1195 = ; Inquire = Matthew 2:7 Then Herod secretly called the wise men,= and learned from them exactly what time the star appeared. 1185 = ; Jesus sorts out the good and the ba= d Matthew 3:12 His winno= wing fork is in his hand, and he will thoroughly cleanse his threshing f= loor. He will gather his wheat into the barn, but the chaff he will burn= up with unquenchable fire."1208 = ; Judge the tree by the fruit Matthew 3:7 But when he saw man= y of the Pharisees and Sadducees coming for his baptism, he said to them= , "You offspring of vipers, who warned you to flee from the wrath to com= e? 3:8 Therefore bring forth fruit worthy of repentance! 1204 = Look &nb= sp; Genesis 8:13 It happened in the six hundred first year,= in the first month, the first day of the month, the waters were dried u= p from the earth. Noah removed the covering of the ship, and looked. He = saw that the surface of the ground was dried. 955 = ; Not having sex &nbs= p; Matthew 1:24 Joseph arose from his sleep, an= d did as the angel of the Lord commanded him, and took his wife to himse= lf; 1:25 and didn't know her sexually until she had brought forth her fi= rstborn son.11= 82 = ; Not to shame = Matthew 1:19 Joseph, her husband, being a righ= teous man, and not willing to make her a public example, intended to put= her away secretly. 1178 = ; Receive unexpected guests and prese= nts Matthew 2:11 They ca= me into the house and saw the young child with Mary, his mother, and the= y fell down and worshiped him. Opening their treasures, they offered to = him gifts: gold, frankincense, and myrrh.1190 = See a star &nbs= p; Genesis 2:1 Now when Jesus was born in Bethlehem o= f Judea in the days of King Herod, behold, wise men from the east came t= o Jerusalem, saying, 2:2 "Where is he who is born King of the Jews? For = we saw his star in the east, and have come to worship him."831 = See and touch &n= bsp; John 20:24 But Thomas, one of the twelve, called= Didymus, wasn't with them when Jesus came. 20:25 The other disciples th= erefore said to him, "We have seen the Lord!" But he said to them, "Unle= ss I see in his hands the print of the nails, and put my hand into his s= ide, I will not believe." 20:26 After eight days again his disciples wer= e inside, and Thomas was with them. Jesus came, the doors being locked, = and stood in the midst, and said, "Peace be to you." 20:27 Then he said = to Thomas, "Reach here your finger, and see my hands. Reach here your ha= nd, and put it into my side. Don't be unbelieving, but believing." 20:28= Thomas answered him, "My Lord and my God!" 20:29 Jesus said to him, "Be= cause you have seen me, you have believed. Blessed are those who have no= t seen, and have believed."873 = ; See that one was mocked&= nbsp; Matthew 2:16 Then Herod, when he sa= w that he was mocked by the wise men, was exceedingly angry, and sent ou= t, and killed all the male children who were in Bethlehem and in all the= surrounding countryside, from two years old and under, according to the= exact time which he had learned from the wise men. 1193 = ; See what a star stands over Matthew 2:9 They, having heard t= he king, went their way; and behold, the star, which they saw in the eas= t, went before them, until it came and stood over where the young child = was. 1187<= /span> = Send out a probe &nbs= p; Genesis 8:6 It happened at the end of forty = days, that Noah opened the window of the ship which he had made, 8:7 and= he sent out a raven. It went back and forth, until the waters were drie= d up from the earth. 8:8 He sent out a dove from him, to see if the wate= rs were abated from the surface of the ground, 8:9 but the dove found no= place to rest her foot, and she returned to him into the ship; for the = waters were on the surface of the whole earth. He put out his hand, and = took her, and brought her to him into the ship. 8:10 He stayed yet anoth= er seven days; and again he sent the dove out of the ship. 8:11 The dove= came back to him at evening, and, behold, in her mouth was an olive lea= f plucked off. So Noah knew that the waters were abated from the earth. = 8:12 He stayed yet another seven days, and sent out the dove; and she di= dn't return to him any more.954 = ; The meaning behind a name Matthew 1:21 She shall bring for= th a son. You shall call his name Jesus, for it is he who shall save his= people from their sins."1180 = ; The writings of a prophet= Matthew 2:5... They said to him, = "In Bethlehem of Judea, for this is written through the prophet, 2:6 'Yo= u Bethlehem, land of Judah, are in no way least among the princes of Jud= ah: for out of you shall come forth a governor, who shall shepherd my pe= ople, Israel.'"1184 = ; What God is able to do&nb= sp; Matthew 3:9 Don't think to yourselves= , 'We have Abraham for our father,' for I tell you that God is able to r= aise up children to Abraham from these stones.1203 = ; What happens to those who don't giv= e fruit Matthew 3:10 "E= ven now the axe lies at the root of the trees. Therefore every tree that= doesn't bring forth good fruit is cut down, and cast into the fire. 1206 = ; What is at hand &nbs= p; Matthew 3:1 In those days, John the Baptizer= came, preaching in the wilderness of Judea, saying, 3:2 "Repent, for th= e Kingdom of Heaven is at hand!" 1199 = ; What is known is meant to be known an= d followed Moses and the= Jews. Deuteronomy 29:29 The secret things belong to Yahweh our God; bu= t the things that are revealed belong to us and to our children forever,= that we may do all the words of this law.1685 = ; What roles are appropriate for who?= Matthew 3:13 Then Jesus= came from Galilee to the Jordan to John, to be baptized by him. 3:14 Bu= t John would have hindered him, saying, "I need to be baptized by you, a= nd you come to me?"1209 = ; Who watches over us = Matthew 3:9 Don't think to yourselves, '= We have Abraham for our father,' for I tell you that God is able to rais= e up children to Abraham from these stones.1202 Other ways: Buddhism 926 = = Compassion for men of little virtue All these living beings, he= aring such a statement, must indeed realize the thought of the difficult= y of meeting a Buddha and cherish a longing and a thirst for him; thus t= hey will cultivate the roots of goodness. Therefore the Tathagata, thoug= h he does not in reality become extinct, yet announces his extinction. From the book Buddhist Thought Through Later Centuries.928 = Learning the difficulty of meeting a B= uddha If the Buddha abide= s long in the world, men of little virtue - who do not cultivate the roo= ts of goodness and are spiritually poor and mean, greedily attached to t= he five desires, and caught in the net of wrong reflection and false vie= ws - if they see the Tathagata constantly present and not extinct, will = become puffed up and lazy and unable to conceive the idea that it is dif= ficult to meet a Buddha, and be unable to develop a mind of reverence fo= r him. Therefore the Tathagata tactfully says: "Know, Bhikshus! The app= earance of a Buddha in the world is a rare occurence." Wherefore? In the= course of countless hundreds, thousands, myriads, koits of kalpas, some= men of little virtue may happen to see a Buddha, or none may see him. = For this reason I say: 'Bhikshus! A Tathagata may rarely be seen!' All t= hese living beings, hearing such a statement, must indeed realize the th= ought of the difficulty of meeting a Buddha and cherish a longing and a = thirst for him; thus they will cultivate the roots of goodness. Therefor= e the Tathagata, though he does not in reality become extinct, yet annou= nces his extinction. From the book Buddhist Thought Through Later Ce= nturies.927= Other ways: Business Wha= t ways of figuring things out are relevant for business?889 Other ways: Chess I play= ed a lot of chess in my youth. I want to share ways that I and others h= ave figured things out.996 = Assign values to chess pieces and add = them up We can gauge which p= layer has the material advantage by counting up and comparing the values= of their remaining pieces. The usual scale is: Queen 9, Rook 5, Bishop= or Knight 3, Pawn 1. This is not part of the rules, but simply a helpf= ul method. Computer chess programs may use more subtle scales. The mat= erial advantage is important because it reflects greater opportunities, = but also, because that relative advantage increases as pieces are traded= off, so that exchanges become threats in and of themselves. Material a= dvantage may be outweighted by the "initiative", which is to say, somebo= dy may fall victim to a mating attack even though they have more pieces.= Material advantage and initiative are like potential energy and kineti= c energy.997 Other ways: Creative Arts Natalie d'Arbeloff investigates artistically with her book ''Designing= With Natural Forms'', artistic investigations. See also: Experiments in Seeing.868 = ; Allusion = Wikipedia: "I don't use shamanism to refer to dea= th, but vice versa - through shamanism, I refer to the fatal character o= f the times we live in. But at the same time I also point out that the f= atal character of the present can be overcome in the future."1173 = ; Create an event score = ; Wikipedia: The term "score" is used in exa= ctly the sense that one uses the term to describe a music score: a serie= s of notes that allow anyone to perform the work, an idea linked both to= what Nam June Paik labeled the "do it yourself" approach and to what Ke= n Friedman termed "musicality." While much is made of the do it yourself= approach to art, it is vital to recognize that this idea emerges in mus= ic, and such important Fluxus artists as Paik, Higgins, or Corner began = as composers, bringing to art the idea that each person can create the w= ork by "doing it." This is what Friedman meant by musicality, extending = the idea more radically to conclude that anyone can create work of any k= ind from a score, acknowledging the composer as the originator of the wo= rk while realizing the work freely and even interpreting it in far diffe= rent ways from those the original composer might have done. Event scores= , such as George Brecht's "Drip Music", are essentially performance art = scripts that are usually only a few lines long and consist of descriptio= ns of actions to be performed rather than dialogue.1171 = ; Ring discussions &nbs= p; Wikipedia: Another aspect of Beuys' pedag= ogy included open "ring discussions," where Beuys and his students discu= ssed political and philosophical issues of the day, including the role o= f art, democracy, and the university in society. Some of Beuys' ideas es= poused in class discussion and in his art-making included free art educa= tion for all, the discovery of creativity in everyday life, and the beli= ef that "everyone [was] an artist."1172 Other ways: Dance Twenty= years or so ago I gave my sister a book on dance that was very philosop= hical. I think it had eight main concepts. The first was breathing.863 = Other ways: David Ellison-Bey I'm collecting ways that my friend David Ellison-Bey has figured t= hings out. He leads the Moorish Cultural Workshop.= 922 = Living by principles = ; David Ellison-Bey, 2011.04.27: Living by prin= ciples has us see beyond the hype. Having principles and living by t= hem in practicing the best in you which has gotten you this far along, s= eeing beyond the hype.925 = Look at a person of great character David Ellison-Bey, 2011.04.27:= We can look at Mother Theresa, look at her life, how she dedicated h= er life. Did she have to fill out her income tax? Did she get anything = from the diocese, even? Did she have to account for it? Have a secretary= , financial secretary, recording secretary? But she was going around pic= king people off the street.924 = What have we not figured out?&n= bsp; David Ellison-Bey, 2011.04.27: ..= .and we still haven't figured out the money system out for the corruptio= n and greed for the materials of life that's beyond many in their lifeti= mes of work, sweat and blood, etc.923 Other ways: God I'm coll= ecting ways that God figures things out as evident from passages in the = Bible. I'm also considering them from what I myself know of God persona= lly and through my philosophy, for example, God's headlong nature, and h= is interest in love. 800<= /p> = Appreciate human nature&n= bsp; Genesis Yahweh said in his heart, "I= will not again curse the ground any more for man's sake, because the im= agination of man's heart is evil from his youth; neither will I ever aga= in strike everything living, as I have done. 8:22 While the earth remain= s, seed time and harvest, and cold and heat, and summer and winter, and = day and night shall not cease."957 = ; Assign a purpose &n= bsp; Genesis 1:11 God said, "Let the earth yiel= d grass, herbs yielding seed, and fruit trees bearing fruit after their = kind, with its seed in it, on the earth"; and it was so. 1:12 The earth = yielded grass, herbs yielding seed after their kind, and trees bearing f= ruit, with its seed in it, after their kind; and God saw that it was goo= d.1122 = ; Assign a role = ; Genesis 1:14 God said, "Let there be lights i= n the expanse of sky to divide the day from the night; and let them be f= or signs, and for seasons, and for days and years; 1:15 and let them be = for lights in the expanse of sky to give light on the earth"; and it was= so. 1:16 God made the two great lights: the greater light to rule the d= ay, and the lesser light to rule the night. He also made the stars. 1:17= God set them in the expanse of sky to give light to the earth, 1:18 and= to rule over the day and over the night, and to divide the light from t= he darkness. 1= 123 = Be thorough &n= bsp; Genesis 7:20 The waters prevailed fifteen cubits= upward, and the mountains were covered. 7:21 All flesh died that moved = on the earth, including birds, livestock, animals, every creeping thing = that creeps on the earth, and every man. 7:22 All in whose nostrils was = the breath of the spirit of life, of all that was on the dry land, died.= 7:23 Every living thing was destroyed that was on the surface of the gr= ound, including man, livestock, creeping things, and birds of the sky. T= hey were destroyed from the earth. Only Noah was left, and those who wer= e with him in the ship. 7:24 The waters prevailed on the earth one hundr= ed fifty days.9= 53 = ; Bless with purpose = Genesis 1:22 God blessed them, saying, "= Be fruitful, and multiply, and fill the waters in the seas, and let bird= s multiply on the earth."1125 = ; Command = Genesis 1:3 God said, "Let there be light," and ther= e was light.11= 19 = ; God= created the earth and seas <= /i> 1:9 God said, "Let the waters under the sky be gathered together to = one place, and let the dry land appear"; and it was so. 1121 = ; God= created the sky between the waters above and below &nbs= p; 1:6 God said, "Let there be an expanse in th= e middle of the waters, and let it divide the waters from the waters."1120<= /p> = ; Consider all possibilities&nbs= p; God's mind is unlimited. Thus God con= siders all possibilities, sensible or not. We are all thoughts in God's= mind, like variations on a chess board, which may not be played (as Jes= us, the winning variant, was played), yet are all relevant for winning t= he game.1219 = ; Counting the generations= Matthew 1:17 So all the generation= s from Abraham to David are fourteen generations; from David to the exil= e to Babylon fourteen generations; and from the carrying away to Babylon= to the Christ, fourteen generations.1176 = ; Divide one thing from out of another= thing Genesis: God divi= ded the light from the darkness. 1:5 God called the light "day," and the= darkness he called "night." There was evening and there was morning, on= e day.1113= = ; Div= ide the earth from the sea Genesis 1:9 God said, "Let the waters under the sky be gathered toget= her to one place, and let the dry land appear"; and it was so.1115 = ; Div= ide with an expanse Gene= sis 1:6 God said, "Let there be an expanse in the middle of the waters, = and let it divide the waters from the waters." 1:7 God made the expanse,= and divided the waters which were under the expanse from the waters whi= ch were above the expanse; and it was so. 1:8 God called the expanse "sk= y." There was evening and there was morning, a second day.1114 = ; Dividing everything into perspectives= God thinks by dividing ever= ything into perspectives. These divisions accord with his days of creat= ion in Genesis. A day for God is an event, and that event is a division= of everything.1217 = Ensure the survival of the species Genesis 6:20 Of the birds= after their kind, of the livestock after their kind, of every creeping = thing of the ground after its kind, two of every sort shall come to you,= to keep them alive.949 = ; Explain = ; Genesis 1:27 God created man in his own image. In G= od's image he created him; male and female he created them. 1:28 God ble= ssed them. God said to them, "Be fruitful, multiply, fill the earth, and= subdue it. Have dominion over the fish of the sea, over the birds of th= e sky, and over every living thing that moves on the earth." 1:29 God sa= id, "Behold, I have given you every herb yielding seed, which is on the = surface of all the earth, and every tree, which bears fruit yielding see= d. It will be your food. 1:30 To every animal of the earth, and to every= bird of the sky, and to everything that creeps on the earth, in which t= here is life, I have given every green herb for food"; and it was so.1131 = Favor &nb= sp; Genesis 6:8 But Noah found favor in Yahweh's eyes.945 = ; Fill with life &nbs= p; Genesis 1:20 God said, "Let the waters swarm= with swarms of living creatures, and let birds fly above the earth in t= he open expanse of sky." 1:21 God created the large sea creatures, and e= very living creature that moves, with which the waters swarmed, after th= eir kind, and every winged bird after its kind. God saw that it was good= .1124 = ; Finish work &n= bsp; Genesis 2:1 The heavens and the earth were finis= hed, and all their vast array. 2:2 On the seventh day God finished his w= ork which he had made;1133 = ; Genealogy &nbs= p; Matthew 1:1 The book of the genealogy of Jesus Chr= ist, the son of David, the son of Abraham. 1:2 Abraham became the father= of Isaac. Isaac became the father of Jacob. ... Matthan became the fath= er of Jacob. 1:16 Jacob became the father of Joseph, the husband of Mary= , from whom was born Jesus, who is called Christ.1175 = ; Give dominion over = Genesis 1:26 God said, "Let us make man = in our image, after our likeness: and let them have dominion over the fi= sh of the sea, and over the birds of the sky, and over the livestock, an= d over all the earth, and over every creeping thing that creeps on the e= arth." 1:27 God created man in his own image. In God's image he created = him; male and female he created them. 1130 = ; Give names to things = ; Genesis 1:5 God called the light "day,"= and the darkness he called "night."1116 = ; Nam= e the earth and seas Gen= esis 1:10 God called the dry land "earth," and the gathering together of= the waters he called "seas."1118 = ; Nam= e the sky Genesis 1:8 Go= d called the expanse "sky."1117 = ; God rejoices in both multiplying and = destroying Deuteronomy 2= 8:63 It shall happen that as Yahweh rejoiced over you to do you good, an= d to multiply you, so Yahweh will rejoice over you to cause you to peris= h, and to destroy you; and you shall be plucked from off the land where = you go in to possess it. 1686 = ; Headlong &nbs= p; God does as God thinks. They are the same. Thus God is = headlong. God may ask, would God be even if God wasn't? and the experim= ent proceeds directly.1218 &= nbsp; Judge a person's heart &= nbsp; God instructed Samuel to anoint Jesse's s= on David. God said he chooses not as humans do, not on outward appearan= ce, but on the heart. Even so, David was handsome. Samuel I 16:6 It ha= ppened, when they had come, that he looked at Eliab, and said, "Surely Y= ahweh's anointed is before him." 16:7 But Yahweh said to Samuel, "Don't = look on his face, or on the height of his stature; because I have reject= ed him: for I see not as man sees; for man looks at the outward appearan= ce, but Yahweh looks at the heart." 16:8 Then Jesse called Abinadab, and= made him pass before Samuel. He said, "Neither has Yahweh chosen this o= ne." 16:9 Then Jesse made Shammah to pass by. He said, "Neither has Yahw= eh chosen this one." 16:10 Jesse made seven of his sons to pass before S= amuel. Samuel said to Jesse, "Yahweh has not chosen these." 16:11 Samuel= said to Jesse, "Are all your children here?" He said, "There remains ye= t the youngest, and behold, he is keeping the sheep." Samuel said to Jes= se, "Send and get him; for we will not sit down until he comes here." 16= :12 He sent, and brought him in. Now he was ruddy, and withal of a beaut= iful face, and goodly to look on. Yahweh said, "Arise, anoint him; for t= his is he."21 = ; Make according to kind&n= bsp; Genesis 1:21 God created the large s= ea creatures, and every living creature that moves, with which the water= s swarmed, after their kind, and every winged bird after its kind. ... 1= :25 God made the animals of the earth after their kind, and the livestoc= k after their kind, and everything that creeps on the ground after its k= ind. = 1126 = ; Make in God's own image&= nbsp; Genesis 1:26 God said, "Let us make= man in our image, after our likeness: and let them have dominion over t= he fish of the sea, and over the birds of the sky, and over the livestoc= k, and over all the earth, and over every creeping thing that creeps on = the earth." 1:27 God created man in his own image. In God's image he cre= ated him; male and female he created them. 1128 = Make provision = ; Genesis 6:21 Take with you of all food that i= s eaten, and gather it to yourself; and it will be for food for you, and= for them.948 = Observe the thoughts of people's hear= ts Genesis 6:5 Yahweh sa= w that the wickedness of man was great in the earth, and that every imag= ination of the thoughts of his heart was only evil continually. 943 = Provide for the ecosystem&= nbsp; Genesis 7:1 Yahweh said to Noah, "C= ome with all of your household into the ship, for I have seen your right= eousness before me in this generation. 7:2 You shall take seven pairs of= every clean animal with you, the male and his female. Of the animals th= at are not clean, take two, the male and his female. 7:3 Also of the bir= ds of the sky, seven and seven, male and female, to keep seed alive on t= he surface of all the earth."951 = Remember = Genesis 8:1 God remembered Noah, all the animals, an= d all the livestock that were with him in the ship; and God made a wind = to pass over the earth. The waters subsided. 952 = Remember my covenant with a token= Genesis 9:8 God spoke to No= ah and to his sons with him, saying, 9:9 "As for me, behold, I establish= my covenant with you, and with your offspring after you, 9:10 and with = every living creature that is with you: the birds, the livestock, and ev= ery animal of the earth with you, of all that go out of the ship, even e= very animal of the earth. 9:11 I will establish my covenant with you: al= l flesh will not be cut off any more by the waters of the flood, neither= will there ever again be a flood to destroy the earth." 9:12 God said, = "This is the token of the covenant which I make between me and you and e= very living creature that is with you, for perpetual generations: 9:13 I= set my rainbow in the cloud, and it will be for a sign of a covenant be= tween me and the earth. 9:14 It will happen, when I bring a cloud over t= he earth, that the rainbow will be seen in the cloud, 9:15 and I will re= member my covenant, which is between me and you and every living creatur= e of all flesh, and the waters will no more become a flood to destroy al= l flesh. 9:16 The rainbow will be in the cloud. I will look at it, that = I may remember the everlasting covenant between God and every living cre= ature of all flesh that is on the earth." 9:17 God said to Noah, "This i= s the token of the covenant which I have established between me and all = flesh that is on the earth."960 = ; Removing himself &n= bsp; God thinks as he creates, and he creates by remo= ving himself, thereby considering whether he would be even if he was not= .1216 = ; Repeat what is important= Genesis 1:26 God said, "Let us mak= e man in our image, after our likeness: and let them have dominion over = the fish of the sea, and over the birds of the sky, and over the livesto= ck, and over all the earth, and over every creeping thing that creeps on= the earth." 1:27 God created man in his own image. In God's image he cr= eated him; male and female he created them. 1129 = ; Rest &nb= sp; Genesis: and he rested on the seventh day from all his = work which he had made. 2:3 God blessed the seventh day, and made it hol= y, because he rested in it from all his work which he had created and ma= de.1134 = See corruption = ; Genesis 6:11 The earth was corrupt before God= , and the earth was filled with violence. 6:12 God saw the earth, and sa= w that it was corrupt, for all flesh had corrupted their way on the eart= h.946 = ; See everything &nbs= p; Genesis 1:31 God saw everything that he had = made, and, behold, it was very good. 1132 = See righteousness &nb= sp; Genesis 7:1 Yahweh said to Noah, "Come with= all of your household into the ship, for I have seen your righteousness= before me in this generation."950 = ; See what God created = ; Genesis 1:1 In the beginning God create= d the heavens and the earth. 1:2 Now the earth was formless and empty. D= arkness was on the surface of the deep. God's Spirit was hovering over t= he surface of the waters. 1:3 God said, "Let there be light," and there = was light. 1:4 God saw the light, and saw that it was good. 1112 = ; Self-collaborate &n= bsp; Note the use of the plural "us". Genesis = 1:26 God said, "Let us make man in our image, after our likeness: and le= t them have dominion... 1127 = Smell the pleasant aroma&= nbsp; Genesis 8:20 Noah built an altar to= Yahweh, and took of every clean animal, and of every clean bird, and of= fered burnt offerings on the altar. 8:21 Yahweh smelled the pleasant aro= ma. Yahweh said in his heart, "I will not again curse the ground any mor= e for man's sake, because the imagination of man's heart is evil from hi= s youth; neither will I ever again strike everything living, as I have d= one. 8:22 While the earth remains, seed time and harvest, and cold and h= eat, and summer and winter, and day and night shall not cease."956 = Solildarity with similarity God has solidarity with man becau= se God made man in his own image. Genesis 9:6 Whoever sheds man's blood= , his blood will be shed by man, for God made man in his own image.959 = Sorrow and regret &nb= sp; Genesis 6:6 Yahweh was sorry that he had ma= de man on the earth, and it grieved him in his heart. 6:7 Yahweh said, "= I will destroy man whom I have created from the surface of the ground; m= an, along with animals, creeping things, and birds of the sky; for I am = sorry that I have made them."944 = ; Truth of the heart and truth of the w= orld God thinks the truth of= the heart, but God allows for the truth of the world. God sees how we = relate them. Which one do we choose?1214 = ; Unfolding perspective &nb= sp; God thinks by unfolding his perspective, as= in my video summary, "I Wish to Know", generating I, then You, then Oth= er.1215 = ; What fulfilled a prophecy Matthew 1:22 Now all this has hap= pened, that it might be fulfilled which was spoken by the Lord through t= he prophet, saying, 1:23 "Behold, the virgin shall be with child, and sh= all bring forth a son. They shall call his name Immanuel"; = which is, being interpreted, "God with us."1181 = ; Fu= lfilled: He will be called a Nazarene = Matthew ... Being warned in a dream, he withdrew into the = region of Galilee, 2:23 and came and lived in a city called Nazareth; th= at it might be fulfilled which was spoken through the prophets: "He will= be called a Nazarene."1198 = ; Fu= lfilled: Out of Egypt I called my son = Matthew 2:14 He arose and took the young child and his mot= her by night, and departed into Egypt, 2:15 and was there until the deat= h of Herod; that it might be fulfilled which was spoken by the Lord thro= ugh the prophet, saying, "Out of Egypt I called my son."1192 = ; Isa= iah prophesied John the Baptist = Matthew 3:3 For this is he who was spoken of by Isaiah the proph= et, saying, "The voice of one crying in the wilderness, make ready the w= ay of the Lord. Make his paths straight."1200 = ; Je= remiah's prophecy fulfilled <= /i> Matthew 2:17 Then that which was spoken by Jeremiah the prophet was = fulfilled, saying, 2:18 "A voice was heard in Ramah, lamentation, weepin= g and great mourning, Rachel weeping for her children; she wouldn't be c= omforted, because they are no more."1194 = What is compatible &n= bsp; Genesis 6:1 It happened, when men began to= multiply on the surface of the ground, and daughters were born to them,= 6:2 that God's sons saw that men's daughters were beautiful, and they t= ook for themselves wives of all that they chose. 6:3 Yahweh said, "My Sp= irit will not strive with man forever, because he also is flesh; yet wil= l his days be one hundred twenty years." 942 = ; Who is God's beloved Son= Matthew 3:17 Behold, a voice out o= f the heavens said, "This is my beloved Son, with whom I am well pleased= ."1213 = ; Who pleases &= nbsp; Matthew 3:17 Behold, a voice out of the heavens= said, "This is my beloved Son, with whom I am well pleased."1212 Other ways: History 865 = Analyze Theories of Hi= story Wikipedia lists so= me 300 theories of history. I can analyze each theory to see what "way = of figuring things out" each presumes.896 = Historical method = ; Wikipedia: The historical method com= prises the techniques and guidelines by which historians use primary sou= rces and other evidence to research and then to write histories in the f= orm of accounts of the past. The question of the nature, and even the po= ssibility, of a sound historical method is raised in the philosophy of h= istory as a question of epistemology.897 = Historiography&n= bsp; Wikipedia has hundreds of pages rela= ted to historiography: Historiography is the study of historians and = their work. It is writing about rather than of history. Historiography i= s meta-level analysis of descriptions of the past. The analysis usually = focuses on the narrative, interpretations, worldview, use of evidence, o= r method of presentation of other historians. There is also a journ= al Histo= rical Methods: A Journal of Quantitative and Interdisciplinary History.898 = ; Cognitive preference for having an orientat= ion in time The cognitiv= e interest of human beings in having an orientation in time is one of fi= ve factors in J=C3=B6rn R=C3=BCsen's "disciplinary matrix" of historiogr= aphy.1308<= /span> = ; Empirical research methods = Empirical research methods are one of fi= ve factors in J=C3=B6rn R=C3=BCsen's "disciplinary matrix" of historiogr= aphy.1310<= /span> = ; Forms of representation &nb= sp; Forms of representation are one of five fac= tors in J=C3=B6rn R=C3=BCsen's "disciplinary matrix" of historiography.<= span class=3D"mazi">1311= = ; J=C3=B6rn R=C3=BCsen's disciplinary matrix<= /a> J=C3=B6rn R=C3=BCsen's "= disciplinary matrix" of historiography relates five factors: the cogniti= ve interest of human beings in having an orientation in time; theories o= r "leading views" concerning the experiences of the past; empirical rese= arch methods; forms of representation; the function of offering orientat= ion to society. See: "J=C3=B6rn R=C3=BCsen's Theory of Historiography b= etween Modernism and Rhetoric of Inquiry" by Alan Megill, Vol. 33, No. 1= , Feb., 1994, History and Theory. Also: Istorika. Istorikos darb=C5=B3 rink= tin=C4=97 compiled by Zenonas Norkus.1307 = ; Leading views concerning the experiences of= the past Theories or "l= eading views" concerning the experiences of the past is one of five fact= ors in J=C3=B6rn R=C3=BCsen's "disciplinary matrix" of historiography.1309<= /p> = ; Loanwords &nb= sp; Loanwords (words borrowed by one language from another = language) are studied as evidence that a concept (such as "books") trave= led from one culture to another. Zigmas Zinkevicius studied Lithuanian = words in this way.1314 = ; National psyche &nb= sp; When I think of the behavior of the Russian natio= n, especially its brutally domineering attitude towards Lithuania and ot= her neighboring countries, then I wonder, where did that come from? And = so I trace it back to the Mongol occupation of the Russian principalitie= s, which was remembered as very brutal. I imagine that the subsequent h= istory of the Russian nation as a whole is a reaction to that traumatic = experience, much as an adult's behavior can sometimes be explained as a = reaction to childhood experiences. It seems that feelings of national s= olidarity can carry down attitudes for centuries, long beyond the source= of those attitudes is relevant. I think the Serbian nation similarly e= xperienced were traumatized by the Turks. I think the Spanish nation wa= s traumatized by the Moors, and attributed its victory to Catholicism, a= nd thus pursued with zeal the Inquisition and missionary work in the New= World. The American South, Black American and even the urban North of = the United States deal with trauma of slavery and the end of the plantat= ion culture. National psyche is the mindset that is attributed to a nat= ion rather than to the individuals of the nation. The latter would be t= he ethnic character or cultural influences on people. The Wikipedia art= icle on National Psychology confuses these.1313 = ; Offering orientation to society&= nbsp; The function of offering orientatio= n to society is one of five factors in J=C3=B6rn R=C3=BCsen's "disciplin= ary matrix" of historiography.1312 = ; Semiotic algebra of symbols&nb= sp; Semiotics is the study of symbols and= can be used to study history, for example, who reacted to whom, who cho= se to use who's symbols, and who chose to use different or opposed symbo= ls, and who chose to join symbols of various origins.1315 Other ways: Humor 864 Other ways: Law I'm coll= ecting legal theories for ways of figuring things out. I have the books= "The Theory of Rules" by Karl N. Llewellyn, "The Legal Analyst" by Ward= Farnsworth, "Truth, Error, and Criminal Law: An Essay in Legal Epistemo= logy" by Larry Laudan, and "Thinking Like a Laywer: An Introduction to L= egal Reasoning" by Kenneth J Vandevelde. =C3=80=C3=88=C3=86=C3=8B=C3=8B= =C3=81=C3=8B=C3=90=C3=81=C3=98822 Other ways: Medicine I t= hink there may be clients or sponsors interested that I collect ways of = figuring things out in medicine, nutrition, etc.833 Other ways: Music 870 Other ways: Philosophy = 1138 = ; Acknowledge ruptures = Wikipedia: The idea, here, is that a = truth's invariance makes it genuinely indiscernible: because a truth is = everywhere and always the case, it passes unnoticed unless there is a ru= pture in the laws of being and appearance, during which the truth in que= stion becomes, but only for a passing moment, discernible. Such a ruptur= e is what Badiou calls an event, according to a theory originally worked= out in Being and Event and fleshed out in important ways in Logics of W= orlds. 114= 7 = ; Amend the truth = ; Wikipedia about Badiou: While such knowled= ge is produced in the process of being faithful to a truth event, it sho= uld be noted that, for Badiou, knowledge, in the figure of the encyclope= dia, always remains fragile, subject to what may yet be produced as fait= hful subjects of the event produce further knowledge. 1151 = ; Analyze examples from literature<= /span> Wikipedia about Badiou: H= e develops these ideas with examples from the prose of Samuel Beckett an= d the poetry of St=C3=83=C6=92=C3=82=C2=A9phane Mallarm=C3=83=C6=92=C3=82= =C2=A9 and Fernando Pessoa (who he argues has developed a body of work t= hat philosophy is currently incapable of incorporating), among others. <= /i>1157 = ; Apply concepts external to one's meth= od Wikipedia: Conseq= uently, philosophy is, according to Badiou, a thinking of the compossibi= lity of the several truth procedures, whether ..., or whether this is un= dertaken through the more traditionally philosophical work of addressing= categories like truth or the subject (concepts that are, as concepts, e= xternal to the individual truth procedures, though they are functionally= operative in the truth procedures themselves). 1140 = ; Arrange concepts to spark a new insig= ht Wikipedia about Badio= u: His view of the link between philosophy and art is tied into the m= otif of pedagogy, which he claims functions so as to "arrange the forms = of knowledge in a way that some truth may come to pierce a hole in them"= . 1156= = ; Combine different methods&= nbsp; Wikipedia: Consequently, philoso= phy is, according to Badiou, a thinking of the compossibility of the sev= eral truth procedures, whether this is undertaken through the investigat= ion of the intersections between distinct truth procedures (the intersec= tion of art and love in the novel, for instance), or whether this is und= ertaken through the more traditionally philosophical work of addressing = categories like truth or the subject (concepts that are, as concepts, ex= ternal to the individual truth procedures, though they are functionally = operative in the truth procedures themselves).<= a href=3D"http://t.co/ju1KSid#1137">1137 = ; Consider methods as methods (or not)<= /a> Wikipedia: Truth, for= Badiou, is a specifically philosophical category. While philosophy's se= veral conditions are, on their own terms, "truth procedures" (i.e., they= produce truths as they are pursued), it is only philosophy that can spe= ak of the several truth procedures as truth procedures. (The lover, for = instance, does not think of her love as a question of truth, but simply = and rightly as a question of love. Only the philosopher sees in the true= lover's love the unfolding of a truth.)1145 = ; Consider what a concept denies Wikipedia: In Handbook of I= naesthetics Badiou coins the phrase "inaesthetic" to refer to a concept = of artistic creation that denies "the reflection/object relation". React= ing against the idea of mimesis, or poetic reflection of "nature", Badio= u claims that art is "immanent" and "singular". 1153 = ; Distance oneself with theoretical ter= minology Wikipedia: F= or Badiou, when philosophy addresses the four truth procedures in a genu= inely philosophical manner, rather than through a suturing abandonment o= f philosophy as such, it speaks of them with a theoretical terminology t= hat marks its philosophical character: inaesthetics rather than art; met= apolitics rather than politics; ontology rather than science; etc.1141<= /p> = ; Distinguish what is and what seems Wikipedia: The idea, he= re, is that a truth's invariance makes it genuinely indiscernible: becau= se a truth is everywhere and always the case, it passes unnoticed unless= there is a rupture in the laws of being and appearance, during which th= e truth in question becomes, but only for a passing moment, discernible.= 1146 = ; Embrace competing notions&= nbsp; Wikipedia: Badiou at once embrac= es the traditional modernist notion that truths are genuinely invariant = (always and everywhere the case, eternal and unchanging) and the incisiv= ely postmodernist notion that truths are constructed through processes.<= /i>1144 = ; Faithfully anounce the truth Wikipedia about Badiou: The s= ubject who chances to witness such an event, if she is faithful to what = she has glimpsed, can then introduce the truth by naming it into worldly= situations. According to a process or procedure that subsequently unfol= ds only if those who subject themselves to the glimpsed truth continue f= aithful in the work of announcing the truth in question, genuine knowled= ge is produced (knowledge often appears in Badiou's work under the title= of the "veridical"). 1150 = ; Found in one place only?&n= bsp; Wikipedia: Reacting against the i= dea of mimesis, or poetic reflection of "nature", Badiou claims that art= is "immanent" and "singular". It is immanent in the sense that its trut= h is given in its immediacy in a given work of art, and singular in that= its truth is found in art and art alone. 1155 = ; Intersect different methods Wikipedia: Consequently, philo= sophy is, according to Badiou, a thinking of the compossibility of the s= everal truth procedures, whether this is undertaken through the investig= ation of the intersections between distinct truth procedures (the inters= ection of art and love in the novel, for instance)...1139 = ; Mediated by other or self?= Wikipedia: Reacting against the= idea of mimesis, or poetic reflection of "nature", Badiou claims that a= rt is "immanent" and "singular". It is immanent in the sense that its tr= uth is given in its immediacy in a given work of art, and singular in th= at its truth is found in art and art alone. 1154 = ; Name the truth into the world Wikipedia about Badiou: The = subject who chances to witness such an event, if she is faithful to what= she has glimpsed, can then introduce the truth by naming it into worldl= y situations.1149 = ; Outstrip knowledge with faith Wikipedia: According to Badi= ou, truth procedures proceed to infinity, such that faith (fidelity) out= strips knowledge. (Badiou, following both Lacan and Heidegger, distances= truth from knowledge.)1152 = ; Reconcile = ; Wikipedia: The major propositions of Badiou's ph= ilosophy all find their basis in Being and Event, in which he continues = his attempt (which he began in Th=C3=83=C6=92=C3=86=E2=80=99=C3=83=E2=80= =9A=C3=82=C2=A9orie du sujet) to reconcile a notion of the subject with = ontology, and in particular post-structuralist and constructivist ontolo= gies.[9] A frequent criticism of post-structuralist work is that it proh= ibits, through its fixation on semiotics and language, any notion of a s= ubject. Badiou's work is, by his own admission,[10] an attempt to break = out of contemporary philosophy's fixation upon language, which he sees a= lmost as a straitjacket. ... two elements mark the thesis of Being and E= vent: the place of ontology, or 'the science of being qua being' (being = in itself), and the place of the event - which is seen as a rupture in b= eing - through which the subject finds realization and reconciliation wi= th truth. This situation of being and the rupture which characterizes th= e event are thought in terms of set theory, and specifically Zermelo-Fra= enkel set theory (with the axiom of choice) ...= 1158 = ; Uncouple concepts &nb= sp; Wikipedia: Badiou's theory of truth, exp= osited throughout his work, accomplishes this strange mixture by uncoupl= ing invariance and self-evidence (such that invariance does not imply se= lf-evidence), as well as by uncoupling constructedness from relativity (= such that constructedness does not lead to relativism).1143 = ; Witness unexpectedly = Wikipedia about Badiou: The subject w= ho chances to witness such an event, if she is faithful to what she has = glimpsed, can then introduce the truth by naming it into worldly situati= ons.1148 Other ways: poetry 1228 = ; Writing Tom Mandel: Writing is my primary tool for investigating the world.=* 1229* = ; Put forward= ideas Pamela McLean, Ap= ril 11, 2011: My hunch is that any ideas I might put forward on devel= oping educational systems would probably be 99% ignored and 1% ridiculed= - but I might have got the proportions wrong.<= a href=3D"http://t.co/ju1KSid#1276">1276 = ; Agree on ar= eas for investigation Pa= mela McLean, April 11, 2011: They will agree on areas for investigati= on and will work collaboratively.1281 = ; Centering a= round the learner Pamela= McLean, April 11, 2011: All our courses will be learner centred.= 1279 = ; Collect res= ources Pamela McLean, Ap= ril 11, 2011: The resources that they collect and the original work t= hey produce will be shared using whatever is Dadamac's current system (a= t present that is through our standard spreadsheet structure - see Publi= shed Dadamac spreadsheets and docs - compiled 2011 for examples of the s= tructure).= 1282 = ; Create a po= rtfolio Pamela McLean, A= pril 11, 2011: Students will be based "within the Dadamac.net space".= They will create a collection of work, things they have written, practi= cal projects they have done, people they have learned from and so on. Ov= er the years,as they study (and help others to study) they will develop = evidence of work done, and a high trust network of fellow learners, tea= chers and collaborators.1286 = ; Don't share= an idea - show a prototype <= /i> Pamela McLean, April 11, 2011: The benefit of a prototype is that= people can see it and prod at it and give feedback of one kind and anot= her. The feedback may not be helpful and it may not be kind (although it= might be) and so it is tempting to keep the prototype hidden from publi= c view until it is reasonably robust and well tested. It may seem prefer= able to simply share "the idea" of the prototype - how it will work, wh= at it will look like, how useful it will be. However when people give fe= edback on an idea there are so many possible areas of complete misunders= tanding that the subsequent discussions may be fruitless. Even if the p= rototype is on the rickety side it is something definite to point to and= discuss - so it has advantages over an idea. ... So, here goes with my= prototype 21st century education system.1272 = ; Growth<= /span> Pamela McLean, April 11, 201= 1: Fortunately, because we are an online and emergent organisation we= don't need a big budget or a big launch - just a vision and gradual gro= wth.1294 = ; How things = will emerge and how I would like them to &nb= sp; Pamela McLean, April 11, 2011: I have some clear ide= as of how educational systems could emerge during the 21st century (and = how I would like them to). 1274 = ; Imagine the= outcome Pamela McLean, = April 11, 2011: My hunch is that any ideas I might put forward on dev= eloping educational systems would probably be 99% ignored and 1% ridicul= ed - but I might have got the proportions wrong.1277 = ; Invite othe= rs Pamela McLean, April = 11, 2011: You are welcome to join me.1297 = ; Look out fo= r bias Pamela McLean, Ap= ril 11, 2011: I appreciate that friends might support me - but as the= y are biased that probably wouldn't count.1273 = ; My hunch Pamela McLean, April 11, 2= 011: My hunch is that any ideas I might put forward on developing edu= cational systems would probably be 99% ignored and 1% ridiculed - but I = might have got the proportions wrong.1275 = ; Naming<= /span> Pamela McLean, April 11, 201= 1: In recognition of its roots in Dadamac - and because I like the s= ound of the word - I name it "The Dadamacadamy" (to pronounce it say "ac= adamy", say "macadamy" say "dada', then run those two together for "Dad= amacadamy").1295 = ; Network of = references Pamela McLean= , April 11, 2011: There will be no formal accreditation from Dadamac,= but there will be references, and evidence, and an increasing network o= f clients and other employers ready to pay for the services of people wi= th a good Dadamac profile.1288 = ; Our needs Pamela McLean, April 11, = 2011: Fortunately, because we are an online and emergent organisation= we don't need a big budget or a big launch - just a vision and gradual = growth.129= 2 = ; People's in= terests Pamela McLean, A= pril 11, 2011: Faculties will emerge according to the interests of pe= ople who study with us and the research that we do.1289 = ; Produce ori= ginal work Pamela McLean= , April 11, 2011: The resources that they collect and the original wo= rk they produce will be shared using whatever is Dadamac's current syste= m (at present that is through our standard spreadsheet structure - see P= ublished Dadamac spreadsheets and docs - compiled 2011 for examples of t= he structure).1283 = ; Related stu= dies Pamela McLean, Apri= l 11, 2011: If they do related studies (for example with our friends = at http:peoples-uni.org) they will add that to their profile. 1287 = ; Share as sp= readsheets Pamela McLean= , April 11, 2011: The resources that they collect and the original wo= rk they produce will be shared using whatever is Dadamac's current syste= m (at present that is through our standard spreadsheet structure - see P= ublished Dadamac spreadsheets and docs - compiled 2011 for examples of t= he structure).1284 = ; Share throu= gh an online system Pame= la McLean, April 11, 2011: The resources that they collect and the or= iginal work they produce will be shared using whatever is Dadamac's curr= ent system (at present that is through our standard spreadsheet structur= e - see Published Dadamac spreadsheets and docs - compiled 2011 for exam= ples of the structure).1285 = ; Studying in= small online special interest groups = Pamela McLean, April 11, 2011: Students will normally = study in small online Special Interest Groups.<= a href=3D"http://t.co/ju1KSid#1280">1280 = ; Vision<= /span> Pamela McLean, April 11, 201= 1: Fortunately, because we are an online and emergent organisation we= don't need a big budget or a big launch - just a vision and gradual gro= wth.1293 = ; What I have= been doing Pamela McLea= n, April 11, 2011: I'm already studying there, and teaching, and doin= g research.1296 = ; What is for= tunate Pamela McLean, Ap= ril 11, 2011: Fortunately, because we are an online and emergent orga= nisation we don't need a big budget or a big launch - just a vision and = gradual growth.1291 = ; What is lik= ely based on how things currently are = Pamela McLean, April 11, 2011: Given our current areas = of activity it seems likely that studies related to health, development,= education, social-processes on the Internet, and ecology will come to t= he fore.12= 90 Thought experiments = Wikipedia lists miscellaneous thought experiments: Buttered cat par= adox, Braitenberg vehicles (robotics, neural control and sensing systems= ) (some have actually been built), Doomsday argument (anthropic principl= e), Dyson sphere, The Lady, or the Tiger? (human nature), The Planiverse= 846<= /p> = Levinthal's paradox Wi= kipedia: Levinthal's paradox is a thought experiment, also constituti= ng a self-reference in the theory of protein folding. In 1969, Cyrus Lev= inthal noted that, because of the very large number of degrees of freedo= m in an unfolded polypeptide chain, the molecule has an astronomical num= ber of possible conformations.... Therefore if a protein were to attain = its correctly folded configuration by sequentially sampling all the poss= ible conformations, it would require a time longer than the age of the u= niverse to arrive at its correct native conformation. This is true even = if conformations are sampled at rapid (nanosecond or picosecond) rates. = The "paradox" is that most small proteins fold spontaneously on a millis= econd or even microsecond time scale. This paradox is central to computa= tional approaches to protein structure prediction.858 Thought experiments in Philosophy &= nbsp; Wikipedia lists thought experiments: Artificial brai= n, Avicenna's Floating Man, Bellum omnium contra omnes, Big Book (ethics= ), Brain-in-a-vat (epistemology, philosophy of mind), Brainstorm machine= , Buridan's ass, Changing places (reflexive monism, philosophy of mind),= China brain (physicalism, philosophy of mind), Chinese room (philosophy= of mind, artificial intelligence, cognitive science), Coherence (philos= ophical gambling strategy), Condillac's Statue (epistemology), Gettier p= roblem (epistemology), Ḥayy ibn Yaqẓ=C3=A2n (epistemology), = Hilary Putnam's Twin Earth thought experiment in the philosophy of langu= age and philosophy of mind, How many men? (taxation as theft), Inverted = spectrum, Kavka's toxin puzzle, Mary's room (philosophy of mind), Molyne= ux's Problem (admittedly, this oscillated between empirical and a-priori= assessment), Newcomb's paradox, Original position (politics), Philosoph= ical zombie (philosophy of mind, artificial intelligence, cognitive scie= nce), Plank of Carneades, Prisoner's Dilemma, Ship of Theseus, The (conc= ept of identity), Simulated reality (philosophy, computer science, cogni= tive science), Social contract theories, Survival lottery, The (ethics),= Swamp man (personal identity, philosophy of mind), Shoemaker's "Time Wi= thout Change" (metaphysics), Ticking time bomb scenario (ethics), Telepo= rt (metaphysics), Trolley problem (ethics), The Violinist (ethics), Util= ity monster (ethics), Zeno's paradoxes (classical Greek problems of the = infinite)834 = Plato's Cave Plato co= nsiders an elaborate scenario where people sit in a cave and view projec= tions which they purport to be real. (He invented movies for the purpose= of this scenario!) A person ventures outside the cave and discovers th= e real world, then goes back to the others and tries to tell them of it,= but they deride him.836
		Other ways: Physics
		Other ways: Physics 862 = ; Classifying &= nbsp; 1031 = ; = Ehrenfest classification of phase transitions &nbs= p; Wikipedia: Paul Ehrenfest classified phase tran= sitions based on the behavior of the thermodynamic free energy as a func= tion of other thermodynamic variables. Under this scheme, phase transiti= ons were labeled by the lowest derivative of the free energy that is dis= continuous at the transition. First-order phase transitions exhibit a di= scontinuity in the first derivative of the free energy with respect to s= ome thermodynamic variable.[1] The various solid/liquid/gas transitions = are classified as first-order transitions because they involve a discont= inuous change in density, which is the first derivative of the free ener= gy with respect to chemical potential. Second-order phase transitions ar= e continuous in the first derivative (the order parameter, which is the = first derivative of the free energy with respect to the external field, = is continuous across the transition) but exhibit discontinuity in a seco= nd derivative of the free energy.[1] These include the ferromagnetic pha= se transition in materials such as iron, where the magnetization, which = is the first derivative of the free energy with the applied magnetic fie= ld strength, increases continuously from zero as the temperature is lowe= red below the Curie temperature. The magnetic susceptibility, the second= derivative of the free energy with the field, changes discontinuously. = Under the Ehrenfest classification scheme, there could in principle be t= hird, fourth, and higher-order phase transitions.1032 = ; = Modern classification of phase transitions &= nbsp; Wikipedia: In the modern classification scheme, ph= ase transitions are divided into two broad categories, named similarly t= o the Ehrenfest classes: First-order phase transitions are those that involve a latent he= at. During such a transition, a system either absorbs or releases a fixe= d (and typically large) amount of energy. During this process, the tempe= rature of the system will stay constant as heat is added: the system is = in a "mixed-phase regime" in which some parts of the system have complet= ed the transition and others have not. Familiar examples are the melting= of ice or the boiling of water (the water does not instantly turn into = vapor, but forms a turbulent mixture of water and vapor bubbles). Second-order phase transitions are also called continuous phase tran= sitions. They are characterized by a divergent susceptibility, an infini= te correlation length, and a power-law decay of correlations near critic= ality. Examples of second-order phase transitions are the ferromagnetic = transition, superconductor and the superfluid transition. Lev Landau gav= e a phenomenological theory of second order phase transitions. Several transitions are known as the infinite-order phase transition= s. They are continuous but break no symmetries. The most famous example = is the Kosterlitz-Thouless transition in the two-dimensional XY model. M= any quantum phase transitions in two-dimensional electron gases belong t= o this class. The liquid-glass transition is observed in many polymers and other l= iquids that can be supercooled far below the melting point of the crysta= lline phase. This is atypical in several respects. It is not a transitio= n between thermodynamic ground states: it is widely believed that the tr= ue ground state is always crystalline. Glass is a quenched disorder stat= e, and its entropy, density, and so on, depend on the thermal history. T= herefore, the glass transition is primarily a dynamic phenomenon: on coo= ling a liquid, internal degrees of freedom successively fall out of equi= librium. However, there is a longstanding debate whether there is an und= erlying second-order phase transition in the hypothetical limit of infin= itely long relaxation times. 1033 = ; Noting a case that a classificati= on does not account for = Wikipedia: Though useful, Ehrenfest's classification has been found t= o be an inaccurate method of classifying phase transitions, for it does = not take into account the case where a derivative of free energy diverge= s (which is only possible in the thermodynamic limit). For instance, in = the ferromagnetic transition, the heat capacity diverges to infinity.1034 Thought experiments in Physics &nbs= p; Wikipedia lists thought experiments in Physics: Galileo'= s ship (classical relativity principle) 1632, Galileo's Leaning Tower of= Pisa experiment (rebuttal of Aristotelian Gravity), GHZ experiment (qua= ntum mechanics), Heisenberg's microscope (quantum mechanics), Kepler's D= ream (change of point of view as support for the Copernican hypothesis),= Ladder paradox (special relativity), Laplace's demon, Maxwell's demon (= thermodynamics) 1871, Monkey and the Hunter, The (gravitation), Moving m= agnet and conductor problem, Newton's cannonball (Newton's laws of motio= n), Popper's experiment (quantum mechanics), Quantum pseudo telepathy (q= uantum mechanics), Quantum suicide (quantum mechanics), Schr=C3=B6dinger= 's cat (quantum mechanics), Sticky bead argument (general relativity), R= enninger negative-result experiment (quantum mechanics), Twin paradox (s= pecial relativity), Wheeler's delayed choice experiment (quantum mechani= cs), Wigner's friend (quantum mechanics)856 = EPR pa= radox Wikipedia: The = original paper describes what happens to "two systems I and II, which we= permit to interact ...", and, after some time, "we suppose that there i= s no longer any interaction between the two parts." In the words of Kuma= r (2009), it has "Two particles, A and B, [which] interact briefly and t= hen move off in opposite directions." According to Heisenberg's uncertai= nty principle, it is impossible to measure both the momentum and the pos= ition of particle B, say, exactly. However, it is possible to measure th= e exact position of particle A and the exact momentum of particle B. By = calculation, therefore, with the exact position of particle A known, the= exact position of particle B can be known.844 = Bell's spaceship paradox (special relativity) &nb= sp; Wikipedia: In Bell's version of the thou= ght experiment, two spaceships, which are initially at rest in some comm= on inertial reference frame, are connected by a taut string. At time zer= o in the common inertial frame, both spaceships start to accelerate, in = such a way that they remain a fixed distance apart as viewed from the or= iginal rest frame. Question: Does the string break (i.e. does the distan= ce between the two spaceships increase in the reference frame of either = spaceship)?= 838 = B= rownian ratchet Wikipedi= a: Richard Feynman's "perpetual motion" machine that does not violate= the second law and does no work at thermal equilibrium839 = Bu= cket argument Wikipedia:= Argues that space is absolute, not relational. Isaac Newton's rotat= ing bucket argument (also known as "Newton's bucket") was designed to de= monstrate that true rotational motion cannot be defined as the relative = rotation of the body with respect to the immediately surrounding bodies.= It is one of five arguments from the "properties, causes, and effects" = of true motion and rest that support his contention that, in general, tr= ue motion and rest cannot be defined as special instances of motion or r= est relative to other bodies, but instead can be defined only by referen= ce to absolute space. Newton discusses a bucket filled with water hung b= y a cord. If the cord is twisted up tightly on itself and then the bucke= t is released, it begins to spin rapidly, not only with respect to the e= xperimenter, but also in relation to the water it contains. Although the= relative motion at this stage is the greatest, the surface of the water= remains flat, indicating that the parts of the water have no tendency t= o recede from the axis of relative motion, despite proximity to the pail= . Eventually, as the cord continues to unwind, the surface of the water = assumes a concave shape as it acquires the motion of the bucket spinning= relative to the experimenter. This concave shape shows that the water i= s rotating, despite the fact that the water is at rest relative to the p= ail. In other words, it is not the relative motion of the pail and water= that causes concavity of the water, contrary to the idea that motions c= an only be relative, and that there is no absolute motion.840 = Double-slit experiment <= /i> Wikipedia: The double-slit experiment or Thomas Young's experimen= t involves particle beams or coherent waves passing through two closely-= spaced slits, after which in many circumstances they are found to interf= ere with each other. In quantum mechanics the double-slit experiment dem= onstrates the inseparability of the wave and particle natures of light a= nd other quantum particles (wave–particle duality).841 = Ein= stein's box Wikipedia: <= i>Einstein considers a box (called Einstein's box; see figure) containin= g electromagnetic radiation and a clock which controls the opening of a = shutter which covers a hole made in one of the walls of the box. The shu= tter uncovers the hole for a time Δt which can be chosen arbitraril= y. During the opening, we are to suppose that a photon, from among those= inside the box, escapes through the hole. In this way a wave of limited= spatial extension has been created, following the explanation given abo= ve. In order to challenge the indeterminacy relation between time and en= ergy, it is necessary to find a way to determine with adequate precision= the energy that the photon has brought with it. At this point, Einstein= turns to his celebrated relation between mass and energy of special rel= ativity: E =3D mc2. From this it follows that knowledge of the mass of a= n object provides a precise indication about its energy. The argument is= therefore very simple: if one weighs the box before and after the openi= ng of the shutter and if a certain amount of energy has escaped from the= box, the box will be lighter.... Bohr showed that, in order for Einstei= n's experiment to function, the box would have to be suspended on a spri= ng in the middle of a gravitational field. ... = 843 = Elitzur-Vaidman bomb-tester &= nbsp; Wikipedia: Consider a collection of bombs, some of which= are duds. Suppose these bombs carry a certain perfect property: usable = bombs have a photon-triggered sensor which will absorb a photon and deto= nate. Dud bombs have a malfunctioning sensor which will not interfere wi= th any photons.[4] The problem is how to separate at least some of the u= sable bombs from the duds. A solution is for the sorter to use a mode o= f observation known as counterfactual measurement, which relies on prope= rties of quantum mechanics842 = = Feynman sprinkler Wikipe= dia: The question of which way an inverse sprinkler would turn (so, w= ith the sprinkler sucking the water in rather than pumping it out) was t= he subject of an intense and remarkably long-lived debate.845 = Galileo: combine masses, large and small = Galileo describes in Discorsi e dimostrazioni = matematiche (1628) (literally, 'Mathematical Discourses and Demonstratio= ns') a thought experiment that refutes Aristotle's theory: If then we take two bodies whose natural speeds = are different, it is clear that on uniting the two, the more rapid one w= ill be partly retarded by the slower, and the slower will be somewhat ha= stened by the swifter. Do you not agree with me in this opinion? Simplicio. You are unquestionably right. Salviati. But if this is true, and if a large stone moves with = a speed of, say, eight while a smaller moves with a speed of four, then = when they are united, the system will move with a speed less than eight;= but the two stones when tied together make a stone larger than that whi= ch before moved with a speed of eight. Hence the heavier body moves with= less speed than the lighter; an effect which is contrary to your suppos= ition. Thus you see how, from your assumption that the heavier body move= s more rapidly than ' the lighter one, I infer that the heavier body mov= es more slowly. 835

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Philosophical portrait of Jesus

BY: Andrius Kulikauskas

How did Jesus figure things out?

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display: none; background-image: url("/stylesheets/images/spacer.gif?1235614780"); height: 100px; width: 200px; z-index: 9999; } .topBorder { padding-top: 8px; } .fullBorder { } input.submitButton { border: none; } /* AGENT PROFILE STYLES ------------------------------------------*/ tr.agSeparator { height: 8px; } td.agSeparator { background-repeat: repeat-y; background-image: url("/stylesheets/images/spacer.gif?1235614780"); font-size: 8px; } tr.agSmallSeparator { height: 4px; } td.agSmallSeparator { background-repeat: repeat-y; background-image: url("/stylesheets/images/spacer.gif?1235614780"); font-size: 4px; } tr.agTinySeparator { height: 2px; } td.agTinySeparator { background-repeat: repeat-y; background-image: url("/stylesheets/images/spacer.gif?1235614780"); font-size: 2px; } td.agSectionHeader { padding-top: 5px; padding-bottom: 5px; } span.agSectionHeader, span.agSectionHeader p { font-size: 19px; font-weight: bold; } td.agSubsectionHeader { padding-top: 5px; padding-bottom: 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relative; } div.agBarTextAlt { position:absolute; z-index: 1; width: 100%; padding-top: 4px; } span.agBarTextAlt, span.agBarTextAlt p { vertical-align: top; padding-left: 4px; font-weight: bold; font-size: 12px; } td.agWidth05 { width: 5%; } td.agWidth10 { width: 10%; } td.agWidth15 { width: 15%; } td.agWidth20 { width: 20%; } td.agWidth25 { width: 25%; } td.agWidth30 { width: 30%; } td.agWidth35 { width: 35%; } td.agWidth40 { width: 40%; } td.agWidth45 { width: 45%; } td.agWidth50 { width: 50%; } td.agWidth55 { width: 55%; } td.agWidth60 { width: 60%; } td.agWidth65 { width: 65%; } td.agWidth70 { width: 70%; } td.agWidth75 { width: 75%; } td.agWidth80 { width: 80%; } td.agWidth85 { width: 85%; } td.agWidth90 { width: 90%; } td.agWidth95 { width: 95%; } td.agWidth00 { width: 100%; } td.agCell05 { width: 5%; } td.agCell10 { width: 10%; } td.agCell15 { width: 15%; } td.agCell20 { width: 20%; } td.agCell25 { width: 25%; } td.agCell30 { width: 30%; } td.agCell35 { width: 35%; } td.agCell40 { width: 40%; } td.agCell45 { width: 45%; } td.agCell50 { width: 50%; } td.agCell55 { width: 55%; } td.agCell60 { width: 60%; } td.agCell65 { width: 65%; } td.agCell70 { width: 70%; } td.agCell75 { width: 75%; } td.agCell80 { width: 80%; } td.agCell85 { width: 85%; } td.agCell90 { width: 90%; } td.agCell95 { width: 95%; } td.agCell00 { width: 100%; } span.agLabel, span.agLabel p { font-size: 14px; } span.agInputLabel, span.agInputLabel p { font-size: 14px; } span.agProfileLabel, span.agProfileLabel p { font-size: 16px; font-weight: bold; } span.agShareTitle, span.agShareTitle p { font-size: 12px; font-weight: bold; } span.agHomeLabel, span.agHomeLabel p { font-size: 14px; font-weight: bold; } span.agHomeTitle, span.agHomeTitle p { font-size: 19px; } td.agHomeTitle { border-top: 1px solid #4D4D4D; } a:link.agHomeTitle, a:link.agHomeTitle span, a:link.agHomeLabel, a:link.agHomeLabel span { color: #4D4D4D; text-decoration: none; font-weight: bold; } a:visited.agHomeTitle, a:visited.agHomeTitle span, a:visited.agHomeLabel, a:visited.agHomeLabel span { color: #4D4D4D; text-decoration: none; font-weight: bold; } a:hover.agHomeTitle, a:hover.agHomeTitle span, a:hover.agHomeLabel, a:hover.agHomeLabel span { color: #4D4D4D; text-decoration: underline; font-weight: bold; } a:active.agHomeTitle, a:active.agHomeTitle span, a:active.agHomeLabel, a:active.agHomeLabel span { color: #4D4D4D; text-decoration: none; font-weight: bold; } span.agTitleXS, span.agTitleXS p { font-size: 12px; font-weight: bold; } span.agTitleS, span.agTitleS p { font-size: 14px; font-weight: bold; } span.agTitleM, span.agTitleM p { font-size: 16px; font-weight: bold; } span.agTitleL, span.agTitleL p { font-size: 19px; font-weight: bold; } span.agTitleXL, span.agTitleXL p { font-size: 28px; font-weight: bold; } span.agTitleXXL, span.agTitleXXL p { font-size: 38px; font-weight: bold; } span.agTitleBBC, span.agTitleBBC p, a.agTitleBBC { font-size: 16px; font-weight: bold; } span.agContributeTitle, span.agContributeTitle p, a.agContributeTitle { font-size: 58px; font-weight: bold; color: #FFFFFF; } span.agContributeSubtitle, span.agContributeSubtitle p, a.agContributeSubtitle { font-size: 14px; font-weight: bold; color: #4D4D4D; } span.agContributeTimeLeftTitleL, span.agContributeTimeLeftTitleL p, a.agContributeTimeLeftTitleL { font-size: 58px; font-weight: bold; color: #FFFFFF; } span.agContributeTimeLeftSubtitleL, span.agContributeTimeLeftSubtitleL p, a.agContributeTimeLeftSubtitleL { font-size: 14px; font-weight: bold; color: #4D4D4D; } span.agContributeTimeLeftTitleS, span.agContributeTimeLeftTitleS p, a.agContributeTimeLeftTitleS { font-size: 28px; font-weight: bold; color: #FFFFFF; } span.agContributeTimeLeftSubtitleS, span.agContributeTimeLeftSubtitleS p, a.agContributeTimeLeftSubtitleS { font-size: 12px; font-weight: bold; color: #4D4D4D; } span.agHomeHeadline, span.agHomeHeadline p { font-size: 27px; font-weight: bold; color: #1AB8CE; } span.agHomeSubheadline, span.agHomeSubheadline p { font-size: 19px; } span.agTagline, span.agTagline p { font-size: 12px; font-weight: normal; } span.agTaglineL, span.agTaglineL p { font-size: 16px; font-weight: normal; } span.agHeadline, span.agHeadline p { font-size: 19px; font-weight: normal; } span.agLarge, span.agLarge p { font-size: 16px; font-weight: normal; } span.agText, span.agText p { font-size: 14px; font-weight: normal; } span.agDescription, span.agDescription p { font-size: 12px; font-weight: normal; } span.agTiny, span.agTiny p { font-size: 10px; font-weight: normal; } span.agMicro, span.agMicro p { font-size: 4px; font-weight: normal; } .agTag6 { font-size: 28px; } .agTag5 { font-size: 19px; } .agTag4 { font-size: 16px; } .agTag3 { font-size: 14px; } .agTag2 { font-size: 12px; } .agTag1 { font-size: 10px; } /* STATIC CONTENT STYLES ------------------------------------------*/ td.stCell { } span.stTitle, span.stTitle p { font-size: 16px; } span.stSection, span.stSection p { font-size: 16px; font-weight: bold; } span.stQuestion, span.stQuestion p { font-size: 14px; font-weight: bold; } span.stBody, span.stBody p { font-size: 14px; } span.stCompany, span.stCompany p { font-size: 14px; } span.stSmall, span.stSmall p { font-size: 12px; } td.stNewsletter { padding: 5px; background-color: #FFFFFF; } ------------cvhly7HsWSwjKHWKHzfLB1 Content-Disposition: inline; filename=igg.css Content-Type: text/css; charset=utf-8; name=igg.css Content-Location: http://www.indiegogo.com/stylesheets/igg.css?1312833292 Content-Transfer-Encoding: 8bit .blckBackground { background-color: #000000; } .whteBackground { background-color: #FFFFFF; } .backBackground { background-color: #303030; } .midlBackground { background-color: #4D4D4D; } .frntBackground { background-color: #E1DFDF; background-color: #E6E6E6; } html { overflow: -moz-scrollbars-vertical; overflow: scroll; } body { background-color: #FFFFFF; } /* SPRITE STYLES ------------------------------------------*/ #static { display: inline-block; padding: 0px; width: 430px; white-space: nowrap; } #static li {padding: 0px 8px; list-style: none; position: relative; display: inline;} #static, #static a {color: #FFFFFF; font-size: 12px; font-weight: bold;} #static li.first {padding-left: 0px;} #static li.last {padding-right: 0px;} #footer { padding: 0px 10px; height: 18px; } #footer li {padding: 0px 8px; list-style: none; position: relative; display: inline;} #footer, #footer a {color: #FFFFFF; font-size: 10px; font-weight: bold;} #footer li.first {padding-left: 0px;} #footer li.last {padding-right: 0px;} /* GENERAL STYLES ------------------------------------------*/ td { color: #4D4D4D; } span { color: #4D4D4D; } input, select, textarea { color: #4D4D4D; vertical-align: middle; margin: 1px 0px; padding: 5px; } input, select, textarea { -moz-border-radius: 3px; -webkit-border-radius: 3px; border-radius: 3px; border: none; } a:link, a:link span { color: #FF0057; text-decoration: none; } a:visited, a:visited span { color: #FF0057; text-decoration: none; } a:hover, a:hover span { color: #FF0057; text-decoration: underline; } a:active, a:active span { color: #FF0057; text-decoration: none; } a:link.inverse { text-decoration: underline; } a:visited.inverse { text-decoration: underline; } a:hover.inverse { text-decoration: none; } a:active.inverse { text-decoration: underline; } a:link.plain { color: #000000; text-decoration: none; } a:visited.plain { color: #000000; text-decoration: none; } a:hover.plain { color: #000000; text-decoration: none; } a:active.plain { color: #000000; text-decoration: none; } td.highlight { border: 1px solid #E2C822; background-color: #FFF9D7; padding: 5px; } span.highlight { border: 1px solid #E2C822; background-color: #FFF9D7; padding: 5px; } /* GLOBAL STYLES ------------------------------------------*/ .BLCK, a:link.BLCK, a:visited.BLCK, a:hover.BLCK, a:active.BLCK { color: #000000; } .WHTE, a:link.WHTE, a:visited.WHTE, a:hover.WHTE, a:active.WHTE { color: #FFFFFF; } .TITL, a:link.TITL, a:visited.TITL, a:hover.TITL, a:active.TITL { color: #303030; } .BACK, a:link.BACK, a:visited.BACK, a:hover.BACK, a:active.BACK { color: #303030; } .MIDL, a:link.MIDL, a:visited.MIDL, a:hover.MIDL, a:active.MIDL { color: #4D4D4D; } .FRNT, a:link.FRNT, a:visited.FRNT, a:hover.FRNT, a:active.FRNT { color: #E1DFDF; /* 225 223 223 */ color: #E6E6E6; /* 230 230 230 */ } .HDAC, a:link.HDAC, a:visited.HDAC, a:hover.HDAC, a:active.HDAC { color: #FF0057; font-weight: bold; font-size: 12px; } .HOME, a:link.HOME, a:visited.HOME, a:hover.HOME, a:active.HOME { color: #303030; } .PROJ, a:link.PROJ, a:visited.PROJ, a:hover.PROJ, a:active.PROJ { color: #FF0057; } .PEOP, a:link.PEOP, a:visited.PEOP, a:hover.PEOP, a:active.PEOP { color: #FF8000; } .RSRC, a:link.RSRC, a:visited.RSRC, a:hover.RSRC, a:active.RSRC { color: #1AB8CE; } .MYGG, a:link.MYGG, a:visited.MYGG, a:hover.MYGG, a:active.MYGG { color: #87C600; } .NONE, a:link.NONE, a:visited.NONE, a:hover.NONE, a:active.NONE { } .bgBLCK { background: #000000; } .bgWHTE { background: #FFFFFF; } .bgBACK { background: #303030; } .bgMIDL { background: #4D4D4D; } .bgFRNT { background: #E1DFDF; background: #E6E6E6; } .bgHOME { background: #303030; } .bgPROJ { background: #FF0057; } .bgPEOP { background: #FF8000; } .bgLtPEOP { background: #FFE5CB; } .bgRSRC { background: #1AB8CE; } .bgLtRSRC { background: #39D7E7; } .bgLtLtRSRC { background: #E6E6E6; } .bgMYGG { background: #B6DC66; } .bgLtMYGG { background: #E2F1C2; } .bgNONE { } div.transcom_shell { background-image: url("/stylesheets/images/transcom_bg.PNG?1238688937"); filter:alpha(opacity=75); -moz-opacity:.75; opacity:.75; position: absolute; width: 100%; height: 500%; z-index: 7; } div.transcom { position: absolute; top: 50px; width: 100%; z-index: 8; } table.transcom_box { margin-left: auto; margin-right: auto; width: 550px; border: 4px solid #00C6DD; background: #FFFFFF; } td.transcom_content { padding: 10px; text-align: center; vertical-align: middle; font-size: 19px; } td.transcom_button { padding: 10px; text-align: center; vertical-align: top; } .thickBorder { border: 4px solid #00C6DD; } div.overlay { filter:alpha(opacity=30); -moz-opacity:.30; opacity:.30; } div.transcom_error { text-align: left; padding: 5px; border: 2px solid #4D4D4D; background-color: #FFF9D7; } span.transcom_error { } div.errorExplanation { padding: 10px; margin-bottom: 10px; border: 2px dashed #FF0057; } div.errorExplanation h2 { margin-top: 0px; } /* SHELL STYLES ------------------------------------------*/ div.core { padding-top: 90px; padding-left: 0px; padding-bottom: 38px; padding-right: 0px; } /* FOOTER BOTTOM-ING STYLES ------------------------------------------*/ html, body { height: 100%; } #container { min-width: 1002px; min-height: 100%; position: relative; } #footer_container { position: absolute; bottom: 0px; width: 100%; } /* HEADER STYLES ------------------------------------------*/ div.headerEnvBar { width: 100%; height: 1em; background-color: #FF0000; color: white; text-align: center; } div.adminBar { width: 100%; height: 1.25em; background-color: #000000; color: white; text-align: center; } span.adminBar { padding-left: 2em; padding-right: 2em; } ul.adminBarLinks { color:white; } ul.adminBarLinks li { list-style: none; display: inline; padding-left: 1em; } ul.adminBarLinks li a { text-decoration: none; } ul.adminBarLinks li a:hover{ background-color: #222222; border-bottom-style: solid; border-color: #FF0057; } div.headerBackground { position: absolute; top: 0px; left: 0px; width: 100%; height: 90px; background-color: #000000; } div.header { position: relative; width: 960px; height: 0px; margin-left: auto; margin-right: auto; } div.headerLogo { position: absolute; top: 6px; left: -9px; } div.headerStaticLinksBackground { } div.headerStaticLinks { position: absolute; top: 39px; left: 240px; width: 400px; text-align; left; padding: 12px 18px 12px 18px; } div.headerMessages { position: absolute; top: 8px; left: 230px; width: 410px; z-index: 5; font-size: 14px; font-weight: bold; background-color: #E1DFDF; background-color: #E6E6E6; color: #000000; vertical-align: middle; padding: 5px; } div.headerSearch { position: absolute; top: 48px; left: 700px; } input.headerSearchInput { width: 180px; height: 14px; font-size: 12px; } input.homeSignupInput { width: 170px; height: 14px; color: #4D4D4D; font-size: 10px; background-color: #E6E6E6; } input.agentSignupInput { width: 200px; color: #4D4D4D; } input.projectReferralSourceDetailsInput { padding: 2px; font-size: 10px; width: 160px; color: #4D4D4D; } div.headerShortCutsBackground { } div.headerShortCuts { position: absolute; top: 5px; left: 610px; font-size: 14px; width: 329px; padding: 12px 18px 12px 18px; } input.headerShortCutsInput { width: 120px; height: 18px; font-size: 12px; color: #000000; background-color: #E1DFDF; background-color: #E6E6E6; margin-right: 5px; } td.headerShortCutsLoginLink { padding-bottom: 5px; text-align: right; } td.headerShortCutsSignupLink { padding-left: 30px; padding-bottom: 5px; } div.headerShortCutsLogin { position: absolute; z-index: 5; top: 35px; left: 515px; border: 1px solid #939292; padding: 5px; background-color: #000000; -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; } div.headerControls { position: absolute; top: 62px; left: 0px; font-size: 10px; width: 100%; padding: 12px 30px 12px 0px; } span.headerText { color: #939292; } div.homeBrowseProjects { background: url('/images/home_browse.PNG'); text-align: center; width: 274px; height: 16px; font-size: 16px; padding: 16px 0px; font-weight: bold; color: #FFFFFF; text-transform: uppercase; } a:link.homeBrowseProjects, a:visited.homeBrowseProjects, a:hover.homeBrowseProjects, a:active.homeBrowseProjects { text-decoration: none; } /* CONTENT STYLES ------------------------------------------*/ td.content1Q { width: 240px; } td.content2Q { width: 480px; } td.content3Q { width: 720px; } td.content4Q { width: 960px; } td.content1E { width: 120px; } td.content2E { width: 240px; } td.content3E { width: 360px; } td.content3E_RC { width: 338px; /* to account for 600px width media on the left and prevent shifting */ padding-left: 20px; } td.content4E { width: 480px; } td.content5E { width: 600px; } td.content5E_LC { width: 602px; /* to account for 600px width media on the left and prevent shifting */ } td.content6E { width: 720px; } td.content7E { width: 840px; } td.content8E { width: 960px; } .topBorder { border-top: 1px dashed #BBBBBB; } .bottomBorder { border-bottom: 1px dashed #BBBBBB; } .fullBorder { border: 1px dashed #BBBBBB; } .topSolidBorder { border-top: 1px solid #BBBBBB; } .fullSolidBorder { border: 1px solid #BBBBBB; } .topDarkSolidBorder { border-top: 1px solid #939292; } .fullBlackBorder { border: 1px dashed #000000; } .fullMYGGBorder { border: 1px dashed #B6DC66; } .fullThickFRNTBorder { border: 3px solid #E6E6E6; } .leftMediumFRNTBorder { border-left: 2px solid #E6E6E6; } .fullThickPEOPBorder { border: 3px solid #FF8000; } div.rounded, img.rounded { -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; position: relative; } div.roundedL { -moz-border-radius: 8px; -webkit-border-radius: 8px; border-radius: 8px; position: relative; } div.formContainer { -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; position: relative; border: none; background-color: #E6E6E6; padding: 20px; } div.formContainerPledge { -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; position: relative; border: none; background-color: #E7F4CC; padding: 20px; } div.formContainerSlim { -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; position: relative; border: none; background-color: #E6E6E6; padding: 15px; } div.rounded hr, div.formContainer hr, div.formContainerSlim hr, div.formContainerPledge hr { background-color: #FFFFFF; color: #FFFFFF; height: 2px; margin-top: 20px; margin-bottom: 20px; border: none; } div.roundedContainer { -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; position: relative; border: none; background-color: #E6E6E6; padding: 20px; } div.roundedContainerPartner { -moz-border-radius: 8px; -webkit-border-radius: 8px; border-radius: 8px; position: relative; border: none; background-color: #FFE5CB; padding: 15px; } div.roundedContainerTop { -moz-border-radius: 4px 4px 0px 0px; -webkit-border-radius: 4px 4px 0px 0px; border-radius: 4px 4px 0px 0px; position: relative; border: none; background-color: #E6E6E6; padding: 20px; } div.roundedContainerBottom { -moz-border-radius: 0px 0px 4px 4px; -webkit-border-radius: 0px 0px 4px 4px; border-radius: 0px 0px 4px 4px; position: relative; border: none; background-color: #E6E6E6; padding: 20px; } div.roundedContainerPricing { -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; position: relative; border: none; background-color: #CFE899; padding: 20px; } div.roundedContainerTopFeatures { -moz-border-radius: 4px 4px 0px 0px; -webkit-border-radius: 4px 4px 0px 0px; border-radius: 4px 4px 0px 0px; position: relative; border: none; background-color: #D1F1F5; padding: 10px; } div.roundedContainerBottomFeatures { -moz-border-radius: 0px 0px 4px 4px; -webkit-border-radius: 0px 0px 4px 4px; border-radius: 0px 0px 4px 4px; position: relative; border: none; background-color: #D1F1F5; padding: 10px; } .pageTitle { color: #1AB8CE; font-weight: bold; } td.windowShell { padding: 4px; } table.windowWithTitle { border-top: 1px dashed #000000; } table.windowWithOutTitle { border-top: 1px dashed #000000; } td.windowTitle { padding: 20px 10px 5px 0px; } span.windowTitle { font-size: 16px; font-weight: bold; color: #FFFFFF; color: #4D4D4D; } td.windowTitleText { padding-top: 18px; text-align: right; } td.windowBodyWithTitle { padding: 8px; } td.windowBodyWithoutTitle { padding: 0px 8px 8px 8px; } td.windowRow { padding-top: 8px; padding-bottom: 8px; padding-left: 5px; padding-right: 5px; } td.windowRowT { padding-bottom: 8px; border-bottom: 1px dashed #BBBBBB; padding-left: 5px; padding-right: 5px; } td.windowRowM { border-top: 1px dashed #BBBBBB; padding-top: 8px; padding-bottom: 8px; border-bottom: 1px dashed #BBBBBB; padding-left: 5px; padding-right: 5px; } td.windowRowB { border-top: 1px dashed #BBBBBB; padding-top: 8px; padding-left: 5px; padding-right: 5px; } td.windowRowL { border-right: 1px dashed #BBBBBB; padding-right: 10px; } td.windowRowR { border-left: 1px dashed #BBBBBB; padding-left: 10px; } td.windowFooter { } .inputField { width: 320px; } input.inputSearchField { width: 160px; } textarea.inputTextarea { width: 320px; } select.inputSelect { width: 326px; } select.inputSearchSelect { width: 166px; } div.fieldWithErrors input, div.fieldWithErrors textarea, div.fieldWithErrors select { border: 4px solid #FF0057; } .whiteButton { color: #000000; font-weight: normal; } input.whiteButton { background: none; } span.whiteButton { background: none; } div.whiteButton { background: #FFFFFF; background-image: -webkit-gradient(linear, left top, left bottom, from(#FFFFFF), to(#D8D8D8)); background-image: -moz-linear-gradient(top, #FFFFFF, #D8D8D8); -pie-background: linear-gradient(top, #FFFFFF, #D8D8D8); border: 1px solid #D0D0D0; } .blueButton { color: #000000; font-weight: normal; } input.blueButton { background: none; } span.blueButton { background: none; } div.blueButton { background: #E6E6E6; background-image: -webkit-gradient(linear, left top, left bottom, from(#E6E6E6), to(#39D7E7)); background-image: -moz-linear-gradient(top, #E6E6E6, #39D7E7); -pie-background: linear-gradient(top, #E6E6E6, #39D7E7); border: 1px solid #D0D0D0; } .greenButton { color: #FFFFFF; font-weight: normal; } input.greenButton { background: none; } span.greenButton { background: none; } div.greenButton { background: #87C600; } a.button:hover { text-decoration: none; } a:link span.whiteButton, a:visited span.whiteButton, a:hover span.whiteButton, a:active span.whiteButton { color: #000000; text-decoration: none; } a:link span.blueButton, a:visited span.blueButton, a:hover span.blueButton, a:active span.blueButton { color: #000000; text-decoration: none; } a:link span.greenButton, a:visited span.greenButton, a:hover span.greenButton, a:active span.greenButton { color: #000000; text-decoration: none; } .tinyButton { font-size: 10px; font-weight: normal; cursor: pointer; } input.tinyButton { margin: 0px; padding: 0px; } span.tinyButton { margin: 0px; padding: 0px; } div.tinyButton { -moz-border-radius: 2px; -webkit-border-radius: 2px; border-radius: 2px; position: relative; display: inline-block; margin: 0px 2px 0px 0px; padding: 1px 2px 1px 2px; } .smallButton { font-size: 10px; font-weight: bold; cursor: pointer; } input.smallButton { margin: 0px; padding: 0px; } span.smallButton { margin: 0px; padding: 0px; } div.smallButton { -moz-border-radius: 3px; -webkit-border-radius: 3px; border-radius: 3px; position: relative; display: inline-block; margin: 0px 5px 0px 0px; padding: 3px 10px 3px 10px; } .mediumFlatLeftButton { font-size: 11px; font-weight: bold; cursor: pointer; height: 14px; } input.mediumFlatLeftButton { margin: 0px; padding: 0px; } span.mediumFlatLeftButton { margin: 0px; padding: 0px; } div.mediumFlatLeftButton { -moz-border-radius: 0px 4px 4px 0px; -webkit-border-radius: 0px 4px 4px 0px; border-radius: 0px 4px 4px 0px; position: relative; display: inline-block; margin: 0px 5px 0px -5px; padding: 5px 10px 5px 10px; } .mediumButton { font-size: 12px; font-weight: bold; cursor: pointer; } input.mediumButton { margin: 0px; padding: 0px; } span.mediumButton { margin: 0px; padding: 0px; } div.mediumButton { -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; position: relative; display: inline-block; margin: 0px 5px 0px 0px; padding: 5px 10px 5px 10px; } .largeButton { font-size: 14px; font-weight: bold; cursor: pointer; } input.largeButton { margin: 0px; padding: 0px; } span.largeButton { margin: 0px; padding: 0px; } div.largeButton { -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; position: relative; display: inline-block; margin: 0px 5px 0px 0px; padding: 5px 10px 5px 10px; } .hugeButton { font-size: 16px; font-weight: bold; cursor: pointer; } input.hugeButton { } span.hugeButton { } div.hugeButton { -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; position: relative; display: inline-block; margin: 0px 5px 0px 0px; padding: 10px 15px 10px 15px; } .disabledButton { border: none; } td.pageHeader { padding-top: 15px; background: #EEEEEE; background: #E6E6E6; padding-bottom: 15px; } td.pageHeaderSystemNotice { padding-top: 0px; padding-bottom: 10px; background: #000000; } div.pageHeaderSystemNotice { padding: 5px; background: #FF8000; border: 2px solid #BBBBBB; } span.pageHeaderSystemNotice { font-size: 14px; } td.pageHeaderBAleft { background: #337DBC; } td.pageHeaderBAmiddle { background: url('/images/ba_bg.PNG'); } td.pageHeaderBAright { background: #B82E14; } td.pageEditHeader, td.pageDashboardHeader { padding-top: 15px; background: #EEEEEE; background: #E6E6E6; padding-bottom: 15px; } td.splashTop { background-image: url('/images/project_splash_top.PNG') !important; background-repeat: no-repeat !important; background-position: left bottom !important; } td.splashBottom { background-image: url('/images/project_splash_bottom.PNG') !important; background-repeat: no-repeat !important; background-position: left bottom !important; } td.pageTabs { padding-top: 5px; background: #EEEEEE; background: #E6E6E6; } td.pageEditTabs, td.pageDashboardTabs { padding-top: 5px; background: #EEEEEE; background: #E6E6E6; } td.pageContent { padding-top: 20px; padding-bottom: 20px; background: #FFFFFF; } td.pageEditContent, td.pageDashboardContent { padding-top: 20px; padding-bottom: 20px; background: #FFFFFF; } div.tabBorders { border-top: 1px solid #BBBBBB; border-right: 1px solid #BBBBBB; border-left: 1px solid #BBBBBB; } div.tabUp { -moz-border-radius: 4px 4px 0px 0px; -webkit-border-radius: 4px 4px 0px 0px; border-radius: 4px 4px 0px 0px; position: relative; vertical-align: middle; text-align: center; background: #FFFFFF; padding: 5px 0px 5px 0px; } a.tabUp { color: #76D4E2; text-decoration: none; } span.tabUp { font-size: 12px; font-weight: bold; } div.tabDn { -moz-border-radius: 4px 4px 0px 0px; -webkit-border-radius: 4px 4px 0px 0px; border-radius: 4px 4px 0px 0px; position: relative; vertical-align: middle; text-align: center; background: #76D4E2; padding: 5px 0px 5px 0px; } a.tabDn { color: #FFFFFF; text-decoration: none; } a.tabDn:hover { background: #FFFFFF; } span.tabDn { font-size: 12px; font-weight: bold; } div.searchUp { border-radius: 4px; -moz-border-radius: 4px; -webkit-border-radius: 4px; position: relative; vertical-align: middle; text-align: left; background: #1AB8CE; padding: 5px 10px 5px 10px; } a.searchUp { color: #FFFFFF; text-decoration: none; } span.searchUp { font-size: 19px; font-weight: bold; } div.searchDn { border-radius: 4px; -moz-border-radius: 4px; -webkit-border-radius: 4px; position: relative; vertical-align: middle; text-align: left; background: #E6E6E6; padding: 5px 10px 5px 10px; } a.searchDn { color: #8D8D8D; text-decoration: none; } a.searchDn:hover { color: #FFFFFF; background: #1AB8CE; } span.searchDn { font-size: 19px; font-weight: bold; } a.categorySelected { font-weight: bold; text-decoration: underline; } table.primTable { width: 0%; } tr.primTD { } td.primTD { } div.primContent { width: 200px; height: 200px; } table.thmbTable { width: 0%; } tr.thmbTD { } td.thmbTD { } div.thmbContent { width: 90px; height: 90px; } img.thmbImage { width: 90px; height: 90px; } table.mdiaTable { width: 0%; } tr.mdiaTD { } td.mdiaTD { } div.mdiaContent { } table.cubeTable { width: 0%; } tr.cubeTD { } td.cubeTD { } div.cubeContent { width: 50px; height: 50px; } div.popupFieldMessage { position: absolute; display: none; max-width: 300px; z-index: 5; border: 1px solid #4D4D4D; background-color: #E6E6E6; padding-left: 4px; padding-right: 4px; padding-top: 4px; padding-bottom: 4px; font-size: 10px; color: #000000; -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; } div.popupMessage { position: absolute; display: none; max-width: 600px; z-index: 5; border: 1px solid #4D4D4D; background-color: #E6E6E6; padding-left: 4px; padding-right: 4px; padding-top: 4px; padding-bottom: 4px; font-size: 10px; color: #000000; -moz-border-radius: 4px; -webkit-border-radius: 4px; border-radius: 4px; } div.overlayShell_prim { position: absolute; width: 198px; height: 198px; z-index: 5; background: transparent; padding: 0px 1px 0px 1px; top: 0px; } div.overlayBackground_prim { position: absolute; width: 198px; z-index: 5; background-color: #4D4D4D; filter:alpha(opacity=80); -moz-opacity:.80; opacity:.80; top: 173px; } div.overlayMessage_prim { position: absolute; width: 198px; z-index: 5; top: 173px; } div.overlayPadding_prim { line-height: 100%; padding-left: 8px; padding-right: 8px; padding-top: 8px; padding-bottom: 8px; } span.overlayMessage_prim { color: #FFFFFF; font-size: 16px; font-weight: bold; } a:link span.overlayMessage_prim, a:visited span.overlayMessage_prim, a:hover span.overlayMessage_prim, a:active span.overlayMessage_prim { color: #FFFFFF; text-decoration: none; } div.overlayRibbon_prim { position: absolute; width: 23px; height: 30px; z-index: 6; background: url('/images/projects_partner_ribbon.PNG'); top: 203px; right: 12px; } table.tinyTable { width: 0%; } tr.tinyTD { } td.tinyTD { } div.tinyContent { width: 25px; height: 25px; } td.projectCardShell { padding-bottom: 30px; width: 206px; } td.projectCardSpacer { width: 10%; } div.projectCardBackground { position: absolute; margin: 3px 3px 3px 3px; background-color: #FFFFFF; height: 350px; width: 200px; } div.projectCardBackground_FundingBar { position: absolute; margin: 3px 3px 3px 3px; background-color: #FFFFFF; height: 370px; width: 200px; } div.projectCardBackground_External { z-index: -1; } div.projectCardImage { position: absolute; padding: 3px 3px 0px 3px; } .projectCardWithFixedHeight { position: relative; height: 350px; width: 198px; } .projectCardWithFixedHeight_FundingBar { position: relative; height: 370px; width: 198px; } div.projectCardWithBorder { border: 4px solid #E1DFDF; border: 4px solid #C0C0C0; -moz-border-radius: 8px; -webkit-border-radius: 8px; border-radius: 8px; position: relative; } div.projectCardFundingBar { position: absolute; top: 342px; left: 6px; } div.projectCardLogo { position: absolute; top: 367px; left: 57px; } /* CATEGORY EDITING PAGE STYLES -----------------------------------------*/ div.category_block { margin-left: 18px; margin-bottom: 25px; } div.top_level { font-size: 24px; font-weight: bold; margin-bottom: 5px; } span.category { background: #E0E0E0; border-style: solid; border-color: #E0E0E0; border-radius: 8px; } div.child { margin-top: 15px; margin-bottom: 15px; } span.child { position: relative; left: 20px; padding: 3px; font-size: 16px; } div.add_a_child { font-size: 12px; position: relative; left: 20px; margin-top: 5px; } div.add_a_top_level { margin-left: 18px; font-size: 20px; font-weight: bold; margin-bottom: 5px; } /* CAREERS STYLES -----------------------------------------*/ div#pbigg_admin_left_sidebar { position: absolute; width: 200px; } div#pbigg_admin_list { padding-left: 0px; padding-top: 1px; padding-bottom: 30px; background: #E6E6E6; -moz-border-radius: 8px; -webkit-border-radius: 8px; border-radius: 8px; } div#pbigg_admin_list h3 { padding-left: 15px; padding-right: 15px; } div#pbigg_admin_list ul { list-style-type: none; margin: 0px; padding: 0px 15px 0px 15px; } div#pbigg_admin_list hr { width: 100%; color: #FFFFFF; background-color: #FFFFFF; height: 3px; border: none; margin-bottom: 19px; } div#pbigg_admin_right_column { position: relative; left: 245px; width: 705px; } div#pbigg_admin_right_column div.formContainer { padding-top: 1px; } div#pbigg_admin_right_column h1 { margin-top: 0.2em; } div#pbigg_admin_right_column h2 { margin-top: 0.4em; } div#preview_site { height: 30px; padding-left: 15px; padding-right: 15px; padding-top: 10px; } span#hiring_sign { position: absolute; top: -35px; left: 20px; } span#careers_pitch { font-size: 25px; color: #4D4D4D } div.pitch_section { padding-top: 0px; padding-bottom: 10px; margin-top: 0px; font-size: 17px; color: #4D4D4D; } div#careers_left_sidebar { position: absolute; width: 200px; } div#careers_right_column { position: relative; left: 220px; width: 725px; } div#careers_show_left_sidebar { position: absolute; width: 200px; } div#jobs_list { padding-left: 0px; padding-top: 1px; padding-bottom: 30px; background: #E6E6E6; -moz-border-radius: 8px; -webkit-border-radius: 8px; border-radius: 8px; } div#jobs_list h2 { padding-left: 15px; } div#jobs_list ul { list-style-type: none; margin: 0px; padding: 0px 15px 0px 15px; } div#jobs_list hr { width: 100%; color: #FFFFFF; background-color: #FFFFFF; height: 3px; border: none; margin-bottom: 19px; } div#stay_connected { height: 100px; padding-left: 0px; padding-top: 0px; padding-bottom: 30px; background: #FFFFFF; color: #333333; font-weight: bold; } div#share_buttons { padding-left: 3px; } div#stay_connected hr{ color: #CCCCCC; background-color: #CCCCCC; border: none; width: 100%; height: 1px; margin-top: 19px; margin-bottom: 19px; } div#pressbox { float: center; margin-top: 30px; text-align: center; } div#pressbox hr { width: 100%; } /* HOW IT WORKS STYLES ------------------------------------------*/ span.learn_more_section { font-size: 20px; font-weight: bold; } span.learn_more_content { font-size: 17px; color: #4D4D4D; } span.learn_more_card_name { font-size: 14px; color: #4D4D4D; } hr.learn_more_card { background-color: #4D4D4D; color: #4D4D4D; height: 1px; border: none; } span.learn_more_card_content { font-size: 12px; color: #4D4D4D; } span.learn_more_card_amount { font-size: 16px; font-weight: bold; color: #87C600; } span.learn_more_who_for p { font-size: 18px; color: #4D4D4D; } span.pricing_headline { font-size: 22px; font-weight: bold; color: #4D4D4D; } .pricing_top_border { border-top: 1px solid #4D4D4D; } span.pricing_section { font-size: 22px; font-weight: bold; color: #1AB8CE; } span.pricing_content { font-size: 16px; color: #4D4D4D; } span.features_section { font-size: 26px; font-weight: bold; color: #1AB8CE; } span.features_sectioncontent { font-size: 16px; color: #4D4D4D; } span.features_content { font-size: 14px; color: #4D4D4D; } span.features_subcontent { font-size: 11px; color: #4D4D4D; } span.features_subsection { font-size: 18px; font-weight: bold; color: #1AB8CE; } span.projects_partner_name { font-size: 32px; color: #1AB7CD; } span.projects_partner_since { font-size: 11px; font-weight: bold; color: #4D4D4D; } span.projects_partner_blurb { font-size: 11px; color: #4D4D4D; } span.projects_partner_count_headline { font-size: 11px; font-weight: bold; color: #4D4D4D; } span.projects_partner_count_number { font-size: 16px; font-weight: bold; color: #86C500; } span.projects_partner_sum_headline { font-size: 11px; font-weight: bold; color: #4D4D4D; } span.projects_partner_sum_number { font-size: 16px; font-weight: bold; color: #86C500; } /* WIDGET STYLES ------------------------------------------*/ div.widgetContent { padding: 2px; } /* AGENT PROFILE STYLES ------------------------------------------*/ .agCell { padding: 5px; } .agCell05 { padding: 5px; } .agCell10 { padding: 5px; } .agCell15 { padding: 5px; } .agCell20 { padding: 5px; } .agCell25 { padding: 5px; } .agCell30 { padding: 5px; } .agCell35 { padding: 5px; } .agCell40 { padding: 5px; } .agCell45 { padding: 5px; } .agCell50 { padding: 5px; } .agCell55 { padding: 5px; } .agCell60 { padding: 5px; } .agCell65 { padding: 5px; } .agCell70 { padding: 5px; } .agCell75 { padding: 5px; } .agCell80 { padding: 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= ------------cvhly7HsWSwjKHWKHzfLB1 Content-Disposition: inline; filename=hzkam7f595Y.htm Content-Type: text/html; charset=utf-8; name=hzkam7f595Y.htm Content-Location: http://www.youtube.com/embed/hzkam7f595Y Content-Transfer-Encoding: Quoted-Printable YouTube - Broadcast Yourself =

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Jei norite pamatyti da=C5=BEniausiai u=C5=BEduodamus kl= ausimus apie HTML5 vaizdo =C4=AFra=C5=A1=C4=85, spustel=C4=97kite.

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