AL-Mukhatabat (2014)

Authors
David Ellerman
University of Ljubljana
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 concrete universal  category theory  heteromorphisms
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References found in this work BETA

The Development of Logic.William Calvert Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press.
Mathematical Logic.W. V. Quine - 1940 - Cambridge: Harvard University Press.
Logic Matters.Peter Thomas Geach - 1972 - Berkeley, CA, USA: Blackwell.
The Iterative Conception of Set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.

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