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A Discrete Solution for the Paradox of Achilles and the Tortoise

Abstract : In this paper, I present a discrete solution for the paradox of Achilles and the tortoise. I argue that Achilles overtakes the tortoise after a finite number of steps of Zeno's argument if time is represented as discrete. I then answer two objections that could be made against this solution. First, I argue that the discrete solution is not an ad hoc solution. It is embedded in a discrete formulation of classical mechanics. Second, I show that the discrete solution cannot be falsified experimentally.
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https://hal.archives-ouvertes.fr/hal-01929811
Contributor : Vincent Ardourel <>
Submitted on : Wednesday, November 21, 2018 - 2:14:59 PM
Last modification on : Thursday, March 4, 2021 - 8:46:03 AM
Long-term archiving on: : Friday, February 22, 2019 - 2:39:44 PM

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  • HAL Id : hal-01929811, version 1

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Vincent Ardourel. A Discrete Solution for the Paradox of Achilles and the Tortoise. Synthese, Springer Verlag (Germany), 2015, 192 (9), pp.2843-286. ⟨hal-01929811⟩

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