Categories for the Neologicist

Philosophia Mathematica 25 (1):26-44 (2017)
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Abstract

Abstraction principles provide implicit definitions of mathematical objects. In this paper, an abstraction principle defining categories is proposed. It is unsatisfiable and inconsistent in the expected ways. Two restricted versions of the principle which are consistent are presented.

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10.1093/philmat/nkw013

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Shay Logan
Kansas State University

Citations of this work

Abstractionist categories of categories.Shay Allen Logan - 2015 - Review of Symbolic Logic 8 (4):705-721.
The Metametaphysics of Neo-Fregeanism.Matti Eklund - 2020 - In Ricki Bliss & James Miller (eds.), The Routledge Handbook of Metametaphysics. New York, NY: Routledge.

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References found in this work

The limits of abstraction.Kit Fine - 2002 - New York: Oxford University Press. Edited by Matthias Schirn.
Frege’s Theorem: An Introduction.Richard G. Heck - 1999 - The Harvard Review of Philosophy 7 (1):56-73.
General Theory of Natural Equivalences.Saunders MacLane & Samuel Eilenberg - 1945 - Transactions of the American Mathematical Society:231-294.
The Limits of Abstraction.Kit Fine - 2005 - Philosophical Studies 122 (3):367-395.

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