Category Theory is a Contentful Theory

Philosophia Mathematica 23 (1):110-115 (2015)
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Abstract

Linnebo and Pettigrew present some objections to category theory as an autonomous foundation. They do a commendable job making clear several distinct senses of ‘autonomous’ as it occurs in the phrase ‘autonomous foundation’. Unfortunately, their paper seems to treat the ‘categorist’ perspective rather unfairly. Several infelicities of this sort were addressed by McLarty. In this note I address yet another apparent infelicity

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Shay Logan
Kansas State University

Citations of this work

Category theory.Jean-Pierre Marquis - 2008 - Stanford Encyclopedia of Philosophy.
Abstractionist categories of categories.Shay Allen Logan - 2015 - Review of Symbolic Logic 8 (4):705-721.

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References found in this work

Category theory as an autonomous foundation.Øystein Linnebo & Richard Pettigrew - 2011 - Philosophia Mathematica 19 (3):227-254.
General Theory of Natural Equivalences.Saunders MacLane & Samuel Eilenberg - 1945 - Transactions of the American Mathematical Society:231-294.
Functional Semantics of Algebraic Theories.F. William Lawvere - 1974 - Journal of Symbolic Logic 39 (2):340-341.

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