4 ms·
> If you do not take the axiom of choice, it is simply false Nitpick: If you do not choose the axiom of choice, then Banach-Tarski is independent, not false. S
by jules 14y ago
> If you do not take the axiom of choice, it is simply false
Nitpick: If you do not choose the axiom of choice, then Banach-Tarski is independent, not false. So you can't prove that it's true and you can't prove that it's false.