Another fun (and seemingly nonsensical) thing you can prove if you use the Axiom of Choice: http://en.wikipedia.org/wiki/Banach-Tarski_paradox http://en.wikipe

Another fun (and seemingly nonsensical) thing you can prove if you use the Axiom of Choice: http://en.wikipedia.org/wiki/Banach-Tarski_paradox http://en.wikipedia.org/wiki/Banach-Tarski_paradox