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Fauconnier: Proto Laukai

Gilles Fauconnier writes about mental spaces in his book Mappings in Thought and Language. I am trying to understand his mental spaces as Views. In particular, I want to define a CategoryTheory in which I could have composition of views and composition of Suppositions.

Here are some key terms in his work:

mental space = View Views are defined with regard to each other

space builder A move (indicated by a grammatical expression) that opens up a new space or shifts focus to an existing space. Examples:

in 1973
in that story
actually
in reality
in Josephine's opinion
Franz believes
Therese hopes
If it rains

names and descriptions set up new elements or point to existing elements. These elements are {{Suppositions}}

base space

tenses and moods determine what kind of space is in focus and its connection to the base space, its accessibility, and the location of counterparts used for identification

presuppositional constructions Certain elements may be explicitly noted as suppositions for the purpose of propagating them into other spaces. Grammatical constructions for this include definite descriptions, aspectuals, clefts and pseudo-clefts.

trans-spatial operators Spaces may be connected by the copula (be in English) and other copulative verbs such as become, remain. Generally, the function of be is to stand for a domain mapping F, so that if one space is another, then their elements are likewise mapped.

identification of elements by way of the Access Principle, also known as the Identification principle. A name or description in one space can be used to access a counterpart of that supposition in another space. If F(a) is identified by way of a, then we say that a is the trigger, and F(a) is the target.

focus, event, viewpoint, base are perhaps related to the foursome: why, how, what, whether. Viewpoint is perhaps a collection of spaces and hence an ambiguity given by a division of everything.

space collapser Just as there are space builders, there is also the collapsing of space. We may make various suppositions and then qualify it all - that's not the case anymore, that is what Ryoko thought, that is just a dream, or foolishness, or formalities. Truthfulness, however, requires that we be upfront about the space that we are operating in, so that we may be held accountable to the truth.

counterfactuals

optimization

access

projection

matching conditions

upward floating

Space building lets us consider two spaces - one in which we accept as given, and one from which we recognize as questionable, inspectable. How does this relate to the {{Twosome}}?

Skaitiniai

Razvan Diaconescu. Mathematical Foundations for Conceptual Blending Fauconnier, Goguen.