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by BeetleB
1754 days ago
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> A point has no volume so no matter how many you add together you don't get something with a volume. You're on the right track. The Banach-Tarski paradox requires accepting that non-measurable sets[1] exist. A non-measurable set is a set with a an inspecifiable volume. Note: That's non-measurable - not 0. It means you have a quantity of something, whose volume is not 0, but it's also not any other number. Once I realized that the paradox requires it, all the WTF aspect went away. Of course - if you can accept quantities for which you cannot specify a volume, you can probably accept about anything. [1] https://en.wikipedia.org/wiki/Non-measurable_set |
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