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Banach-Tarski paradox: http://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox http://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox.
by pixcavator 18y ago
Banach-Tarski paradox: http://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox http://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox.
- jerf 18y agoWhich rests on the grossly-unphysical "Axiom of Choice". That doesn't disprove cousin_it's point. Though it's still an interesting link, if that's why you're posting it.
- d0mine 18y agoAlmost all people use mathematics where "Axiom of Choice" is set to be true. It is grossly-unusual to consider systems without that axiom. If you are not a mathematician chances are you've never encountered a system based on axioms without "Axiom of Choice" (for systems where it is applicable at all).
- pixcavator 18y agoI agree it's "grossly-unphysical", but you can do hardly any math without it. Now try to do physics (or computer science) without math.
- deleted 18y ago[deleted]