A Discrete Solution for the Paradox of Achilles and the Tortoise

Ardourel, Vincent
(2015) Synthese : an international journal for epistemology, methodology and philosophy of science —

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  • Ardourel, VincentUCLouvain
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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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Ardourel, V. (2015). A Discrete Solution for the Paradox of Achilles and the Tortoise. Synthese : an international journal for epistemology, methodology and philosophy of science. https://doi.org/10.1007/s11229-015-0688-2