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gwern comments on Rationality quotes: June 2010 - Less Wrong
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It's more of a conceptual knife - pointing out that by the definition of continuity, segment X is made of void and 2 smaller segments, Y and Z; but Y and Z are themselves made of void (and 2 smaller segments), and so on.
(Any conceptual knife just illustrates how motion was supposed to be possible in a continuous framework: the matter in the knife fits into the voids of what it is moving into.)
Oh, so the "made of void" thing comes from the void that the knife fits into. That wasn't at all clear - it seemed like we were just talking about separating things into parts, not about the physical process of cutting.