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

Authors
Shay Logan
Kansas State University
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.
Keywords Category Theory  Neologicism
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DOI 10.1093/philmat/nkw013
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References found in this work BETA

Frege’s Theorem.Richard Heck - 1999 - The Harvard Review of Philosophy 7 (1):56-73.
Speaking with Shadows: A Study of Neo-Logicism.Fraser MacBride - 2003 - British Journal for the Philosophy of Science 54 (1):103-163.

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Citations of this work BETA

Abstractionist Categories of Categories.Shay Allen Logan - 2015 - Review of Symbolic Logic 8 (4):705-721.

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