The prospects of unlimited category theory: Doing what remains to be done

Review of Symbolic Logic 8 (2):306-327 (2015)

Authors
Michael Ernst
University of California, Irvine
Abstract
The big question at the end of Feferman is: Is it possible to find a foundation for unlimited category theory? I show that the answer is no by showing that unlimited category theory is inconsistent.
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DOI 10.1017/s1755020314000495
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References found in this work BETA

Axiomatizing a Category of Categories.Colin McLarty - 1991 - Journal of Symbolic Logic 56 (4):1243-1260.
Elementary Categories, Elementary Toposes.Colin Mclarty - 1997 - Studia Logica 59 (1):143-146.
Failure of Cartesian Closedness in NF.Colin McLarty - 1992 - Journal of Symbolic Logic 57 (2):555-556.
Spanning Graphs and the Axiom of Choice.Christian Delhommé & Marianne Morillon - 2006 - Reports on Mathematical Logic:165-180.

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Citations of this work BETA

Elaine Landry, Ed. Categories for the Working Philosopher.Neil Barton - forthcoming - Philosophia Mathematica:nkz020.

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