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: The Axiom of Choice can also be used to "prove" absurdities, as explained by the entry here.--[[User:Aschlafly|Aschlafly]] 14:52, 2 August 2008 (EDT)
: The Axiom of Choice can also be used to "prove" absurdities, as explained by the entry here.--[[User:Aschlafly|Aschlafly]] 14:52, 2 August 2008 (EDT)
It is a wonderful thing in mathematics when an absurdity is proven - it expands the consciousness. Either the "absurdity" isn't as absurd as once thought (the Earth is a ball, not a plain; there are just as many whole numbers as there are fractions), or some axiom needs to be rethought, or you've made a mistake. Whatever, you can learn from it.--[[User:AMackenzie|AMackenzie]] 17:45, 2 August 2008 (EDT)
It is a wonderful thing in mathematics when an absurdity is proven - it expands the consciousness. Either the "absurdity" isn't as absurd as once thought (the Earth is a ball, not a plain; there are just as many whole numbers as there are fractions), or some axiom needs to be rethought, or you've made a mistake. Whatever, you can learn from it.--[[User:AMackenzie|AMackenzie]] 17:45, 2 August 2008 (EDT)
::Banach-Tarski isn't absurd; it's just counterintuitive. -[[User:CSGuy|CSGuy]] 22:21, 2 August 2008 (EDT)