On Adjoint and Brain Functors

AbstractThere is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms (object-to-object morphisms between objects of different categories) that parses an adjunction into two separate parts (left and right representations of heteromorphisms). Then these separate parts can be recombined in a new way to define a cognate concept, the brain functor, to abstractly model the functions of perception and action of a brain. The treatment uses relatively simple category theory and is focused on the interpretation and application of the mathematical concepts .

• Publication year

  2015

• Venue

  Axiomathes

• Publication date

  2015-08-17

• Fields of study

  Mathematics, Philosophy

• Identifiers
  DOI 10.1007/S10516-015-9278-7arXiv 1508.04036
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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