::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) | ::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) |