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Topic: Matheology § 236
Replies: 5   Last Post: Apr 4, 2013 11:34 PM

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mueckenh@rz.fh-augsburg.de

Posts: 14,952
Registered: 1/29/05
Matheology § 236
Posted: Apr 4, 2013 3:26 AM
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Tarski?s theorem: (For all infinite sets X there exists a bijection of
X to X × X) ==> (Axiom of Choice). [...] Fréchet and Lebesgue refused
to present it. Fréchet wrote that an implication between two well
known propositions is not a new result. Lebesgue wrote that an
implication between two false propositions is of no interest.
[Jan Mycielski: "A System of Axioms of Set Theory for the
Rationalists", Notices of the AMS 53,2 (2006) 206-213]
http://www.ams.org/notices/200602/fea-mycielski.pdf

Regards, WM



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