Axiomathes 26 (1):41-61 (2016)

David Ellerman
University of Ljubljana
There 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 that parses an adjunction into two separate parts. 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
Keywords Category theory  Adjoint functors  Heteromorphism  Brain functors
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Reprint years 2016
DOI 10.1007/s10516-015-9278-7
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References found in this work BETA

The Iterative Conception of Set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.
Category Theory.Steve Awodey - 2010 - Oxford University Press.
Category Theory.S. Awodey - 2007 - Bulletin of Symbolic Logic 13 (3):371-372.

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Brain Functors: A Mathematical Model for Intentional Perception and Action.David Ellerman - 2016 - Brain: Broad Research in Artificial Intelligence and Neuroscience 7 (1):5-17.

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