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Zeno's Dichotomy Paradox
(sh.itjust.works)
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this post was submitted on 05 Apr 2024
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Let's put it this way: you move your hand 1m in 1s. Looking at it like Zeno, there are infinite space-steps that total in 1m moved. And there are infinite time-steps that total in 1s. If there is no problem in having infinite space-steps covering a finite distance, what's the problem with having infinite time-steps covering a finite time?
It's more fundamentally philosophic than calculus, that's why I said it's unnecessary. You don't need to know you can sum infinite "infinitesimal" parts and get a finite quantity, or how to do it. It's just a simple reasoning to see there's no paradox (in the "it's impossible" sense) at all.