Ellerman, David (2016) Brain functors: A mathematical model of intentional perception and action. [Preprint]

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Abstract

Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunctions being the primary lens. If adjunctions are so important in mathematics, then perhaps they will isolate concepts of some importance in the empirical sciences. But the applications of adjunctions have been hampered by an overly restrictive formulation that avoids heteromorphisms or hets. By reformulating an adjunction using hets, it is split into two parts, a left and a right semiadjunction. Semiadjunctions (essentially a formulation of universal mapping properties using hets) can then be recombined in a new way to define the notion of a brain functor that provides an abstract model of the intentionality of perception and action (as opposed to the passive reception of sense-data or the reflex generation of behavior).

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Item Type:	Preprint
Creators:	Creators Email ORCID Ellerman, David david@ellerman.org 0000-0002-5718-618X
Keywords:	category theory, adjunctions, heteromorphisms, intentionality
Subjects:	Specific Sciences > Complex Systems Specific Sciences > Cognitive Science Specific Sciences > Mathematics
Depositing User:	David Ellerman
Date Deposited:	22 Oct 2017 15:09
Last Modified:	22 Oct 2017 15:09
Item ID:	14045
Official URL:	https://www.edusoft.ro/brain/index.php/brain/artic...
Subjects:	Specific Sciences > Complex Systems Specific Sciences > Cognitive Science Specific Sciences > Mathematics
Date:	March 2016
URI:	https://philsci-archive.pitt.edu/id/eprint/14045

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