On Concrete Universals: A Modern Treatment Using Category Theory

20 Pages Posted: 12 May 2014

Date Written: May 10, 2014

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.

Keywords: category theory, cognitive science, brain, universals

Suggested Citation

Ellerman, David, On Concrete Universals: A Modern Treatment Using Category Theory (May 10, 2014). Available at SSRN: https://ssrn.com/abstract=2435439 or http://dx.doi.org/10.2139/ssrn.2435439

David Ellerman (Contact Author)

University of Ljubljana ( email )

School of Social Science
Ljubljana, CA
Slovenia

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

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