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nyan_sandwich comments on Explained: Gödel's theorem and the Banach-Tarski Paradox - Less Wrong Discussion
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Comments (40)
Godel's theorem seems well explained. The Banach-Tarski thing seems like a BS non-explanation:
It starts by asserting an incorrect theorem about spheres, then tries to prove by analogy to something that is totally different and breaks two of the restrictions that were put on the sphere (finite number of pieces, no gaps).
Therefore God.
IAWYC. I'm pretty sure there are gaps in Banach-Tarski's division of the sphere. The sets are rotated as wholes but they don't look closed or open.