Mac Lane set theory | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-02-18

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Zermelo_set_theory


00:00:24 1 The axioms of Zermelo set theory
00:03:13 2 Connection with standard set theory
00:07:01 3 Mac Lane set theory
00:07:37 4 The aim of Zermelo's paper
00:08:41 5 The axiom of separation
00:12:32 6 Cantor's theorem
00:12:58 7 See also
00:13:21 8 References
00:13:52 See also



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SUMMARY
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Zermelo set theory (sometimes denoted by Z-), as set out in an important paper in 1908 by Ernst Zermelo, is the ancestor of modern set theory.  It bears certain differences from its descendants, which are not always understood, and are frequently misquoted.  This article sets out the original axioms, with the original text (translated into English) and original numbering.