On Adjoint and Brain Functors

17 Pages Posted: 20 Jun 2015

Multiple version iconThere are 2 versions of this paper

Date Written: June 18, 2015


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 (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 the simplest possible mathematics and is focused on the interpretation and application of the mathematical concepts.

Keywords: adjoint functors, brain functors, mathematical cognitive science

Suggested Citation

Ellerman, David, On Adjoint and Brain Functors (June 18, 2015). Available at SSRN: https://ssrn.com/abstract=2620332 or http://dx.doi.org/10.2139/ssrn.2620332

David Ellerman (Contact Author)

University of Ljubljana ( email )

School of Social Science
Ljubljana, CA

HOME PAGE: http://www.ellerman.org

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