Changes

{{cquote|'''Abstract.''' In this paper we show that the Axioms of Zermelo-Fraenkel set theory together with the Hahn-Banach theorem imply the existence of a non-Lebesgue measurable set. Our construction does not make any use of the Axiom of Choice.}}

{{cquote|'''Abstract.''' In this paper we show that the Axioms of Zermelo-Fraenkel set theory together with the Hahn-Banach theorem imply the existence of a non-Lebesgue measurable set. Our construction does not make any use of the Axiom of Choice.}}

:So the other direction of the claim is apparently wrong, and AndyJM was right to remove it. He was blocked for "removing information from articles" by the same user who also re-inserted the apparently wrong claim. This is exactly why I oppose this "Block first" approach: How can we improve this encyclopedia when we can get blocked and banned by whoever ''thinks'' we're wrong? I suggest an unblock. --[[User:AlanS|AlanS]] 18:38, 27 November 2008 (EST)

:So the other direction of the claim is apparently wrong, and AndyJM was right to remove it. He was blocked for "removing information from articles" by the same user who also re-inserted the apparently wrong claim. This is exactly why I oppose this "Block first" approach: How can we improve this encyclopedia when we can get blocked and banned by whoever ''thinks'' we're wrong? I suggest an unblock. --[[User:AlanS|AlanS]] 18:38, 27 November 2008 (EST)

:Oh, and it'd be ''awesome'' if anybody could unblock BRichtigen, who was blocked by the same user for questioning the assertion that the two concepts are equivalent. --[[User:AlanS|AlanS]] 18:44, 27 November 2008 (EST)

::Alan, the Axiom of Choice yields many strange behaviors in mathematics. That's why it is still questioned and debated. If the statement is not equivalent to AC (which I will have to look deeper into to believe), then the correct behavior is not to remove the statement altogether but to change it to an implication. Edits that whitewash the Axiom of Choice's questionable role in mathematics are the sort of behavior you see at Wikipedia, not here (see [[Conservapedia:Critical Thinking in Math]] for a guide to our positions). I am reinstating the fact, but will tentatively change it to just a consequence of AC instead of an equivalence. -[[User:Foxtrot|Foxtrot]] 18:50, 27 November 2008 (EST)