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

Preview

PDF ConcreteUniversalsInCT.pdf - Accepted Version Download (189kB)

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Ellerman, David david@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.pitt.edu/id/eprint/11069

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item