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

Review of Symbolic Logic 8 (2):306-327 (2015)
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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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Michael Ernst
University of California, Irvine

Citations of this work

Maddy On The Multiverse.Claudio Ternullo - 2019 - In Deniz Sarikaya, Deborah Kant & Stefania Centrone (eds.), Reflections on the Foundations of Mathematics. Berlin: Springer Verlag. pp. 43-78.
The negative theology of absolute infinity: Cantor, mathematics, and humility.Rico Gutschmidt & Merlin Carl - forthcoming - International Journal for Philosophy of Religion:1-24.

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References found in this work

Axiomatizing a category of categories.Colin McLarty - 1991 - Journal of Symbolic Logic 56 (4):1243-1260.
Failure of cartesian closedness in NF.Colin McLarty - 1992 - Journal of Symbolic Logic 57 (2):555-556.
Books Received. [REVIEW]Colin Mclarty - 1997 - Studia Logica 59 (1):143-146.
Spanning graphs and the Axiom of Choice.Christian Delhommé & Marianne Morillon - 2006 - Reports on Mathematical Logic:165-180.

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