A discrete solution for the paradox of Achilles and the tortoise

• Autores: Vincent Ardourel
• Localización: Synthese, ISSN-e 1573-0964, Vol. 192, Nº. 9, 2015, págs. 2843-2861
• Idioma: inglés
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• Resumen

  • 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