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1. Zeno makes some assumptions and proves from them that it is impossible to move. 2. A quick experiment proves that you can move around anyway. 3. Therefore
by danbruc 4y ago
1. Zeno makes some assumptions and proves from them that it is impossible to move.
2. A quick experiment proves that you can move around anyway.
3. Therefore Zeno's reasoning must be wrong, either he assumed something false or his reasoning itself is flawed.
4. You say, Xeno's reasoning is fine, in the setting he describes it is indeed impossible to move, but Xeno has an unstated assumption - that space and time are indefinitely divisible - but in our universe, because our spacetime is not indefinitely divisible, Xeno's reasoning - which is fine if all assumptions are satisfied - just does not apply.
This is where the paradox falls apart for me. There's no reason to assume that there is always a halfway there.
5. All assumptions of Xeno's reasoning are satisfied in a hypothetical universe with Euclidean space - and classical mechanics is some sense represents such universe - and because Xeno's reasoning is fine in principle if all the assumptions are satisfied and the hypothetical universe satisfies by assumption, Xeno's reasoning applies in the hypothetical universe and therefore you can not move in the hypothetical universe.