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AlexMennen comments on Edward Nelson claims proof of inconsistency in Peano Arithmetic - Less Wrong
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It's acceleration that matters, not velocity (the initial velocity of all points is zero, or at least that's how I thought of it). However, your argument does generalize nicely to acceleration, and could possibly be the correct resolution.
Yes, stupid mistake of mine. Replace velocity by acceleration and position by velocity and the same argument works. The fallacy is in the vagrepunatr bs yvzvgf.