[math-fun] The Axiom of Choice is Wrong

http://cornellmath.wordpress.com/2007/09/13/the-axiom-of-choice-is-wrong/ When discussing the validity of the <http://en.wikipedia.org/wiki/Axiom_of_choice>Axiom of Choice, the most common argument for not taking it as gospel is the <http://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox>Banach-Tarski paradox. Yet, this never particularly bothered me. The argument against the Axiom of Choice which really hit a chord I first heard at the Olivetti Club, our graduate colloquium. It's an extension of a basic logic puzzle, so let's review that one first. ... --- vice-chair http://ocjug.org/