This article is an expanded version of `An elementary theory of the category of sets', Proceedings of the National Academy of Science of the U.S.A 52, 1506-1511, with commentary by Colin McLarty and the author.
Keywords: Category of sets, axiom of choice, mathematical logic and foundations
2000 MSC: 18B05, 00A30, 03A05
Reprints in Theory and Applications of Categories, No. 11 (2005) pp. 1-35
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