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>> No.16185754 [View]
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16185754

The axiom of choice is required for the Banach-Tarski paradox to be true. But because the Banach-Tarski paradox is absurd, does that not prove that the axiom of choice is not valid?

Because if the AoC is valid, then you can apparently decompose a ball into pieces and assemble them again into two identical balls. Obviously that's impossible.

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