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On Concrete Universals: A Modern Treatment using Category Theory

Ellerman, David (2014) On Concrete Universals: A Modern Treatment using Category Theory. [Preprint]

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Abstract

Today it would be considered "bad Platonic metaphysics" to think that among all the concrete instances of a property there could be a universal instance so that all instances had the property by virtue of participating in that concrete universal. Yet there is a mathematical theory, category theory, dating from the mid-20th century that shows how to precisely model concrete universals within the "Platonic Heaven" of mathematics. This paper, written for the philosophical logician, develops this category-theoretic treatment of concrete universals along with a new concept to abstractly model the functions of a brain.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Ellerman, Daviddavid@ellerman.org
Keywords: concrete universals, category theory, set theoretic paradoxes, heteromorphisms, adjoint functors
Subjects: Specific Sciences > Cognitive Science
Specific Sciences > Mathematics
General Issues > Models and Idealization
General Issues > Realism/Anti-realism
Depositing User: David Ellerman
Date Deposited: 20 Oct 2014 15:38
Last Modified: 20 Oct 2014 15:38
Item ID: 11069
Subjects: Specific Sciences > Cognitive Science
Specific Sciences > Mathematics
General Issues > Models and Idealization
General Issues > Realism/Anti-realism
Date: 2014
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/11069

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