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Category Theory Videos The Topos of Music: Geometric Logic of Concepts, Theory, and Performance. Guerino Mazzola. From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory (Logic, Epistemology, and the Unity of Science) JeanPierre Marquis Categorical models for psychological consciousness. Sheaf theory  consciousness. I'm trying to learn category theory because it is relevant for homotopy type theory and other areas of mathematics. But also I may be able to use it to model parts of my philosophy. I am thinking that categories should be considered on three levels:
The composition of the arrows always seems to me underexplained. And that is where the different levels of equivalence become relevant. Also to be considered is whether an object should be thought of as an arrow to itself. Multiset is What, Set is How, List is Why. The reason that Set Theory works is that it is based on How, which is the level for all answers. Yoneda lemma and the Foursome
X (Xylophone) Yoneda embedding: What=Why defines "meaning". What about other five qualities of signs? Relate idA to consciousness, to constancy of attention, recurring attention. Significant=unencompassable. Covering=encompassing=Why. Categorification (making math explicit) vs. Decategorification (making math implicit) Algebraic combinatorics is the concrete flipside of the abstractness of category theory. But algebraic combinatorics comes with implicit interpretation whereas category theory comes with explicit notation.

CategoryTheoryNaujausi pakeitimai 
Puslapis paskutinį kartą pakeistas 2016 gruodžio 20 d., 21:22
