Quote:
Originally Posted by pdurrant
Can you explain the Banach–Tarski paradox?
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Doesn't it only works with mathematical spheres, not "real" physical ones? On a purely mathematical level, the sphere is infinitely dense -- divide infinity by two, and you still have infinity (two infinities now) -- so why
wouldn't you have twice as much mass to work with?
But isn't it rather a stretch to go from there to "one == infinity"?