Talk:Set theory/Draft

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Revision as of 02:34, 18 May 2010 by imported>Boris Tsirelson (some minor errors)
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 Definition Mathematical theory that models collections of (mathematical) objects and studies their properties. [d] [e]
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Nice work! Boris Tsirelson 18:22, 16 September 2009 (UTC)

Thanks! I only joined CZ because I thought the world needed a decent introductory account of set theory :-) Mark Wainwright 04:22, 9 May 2010 (UTC)
Are you sure the world needs nothing else? :-) Boris Tsirelson 07:57, 9 May 2010 (UTC)

Probably this article is approvable. For now I am not ready to approve it, because some finer points are beyond my competence. I understand the given text about that, but I have no other sources to be sure. Namely:

  • "An ingenious axiom of Goedel's, Limitation of Size";
  • "Montague proved in 1961 that ZF cannot be finitely axiomatised";
  • "NF ... is finitely axiomatisable";
  • "NFU, whose consistency is implied by that of simple type theory".

Boris Tsirelson 08:19, 18 May 2010 (UTC)

Also I observe some minor errors:

  • "difference X-Y or X\Y contains of all those" — either "consists of all" or "contains all", I guess;
  • "X∪Y ={x|P and Q}, X∩Y={x|P or Q}" — swap them.

Boris Tsirelson 08:34, 18 May 2010 (UTC)