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(2015) Synthese 192 (9).

A discrete solution for the paradox of Achilles and the tortoise

Vincent Ardourel

pp. 2843-2861

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.

Publication details

DOI: 10.1007/s11229-015-0688-2

Full citation:

Ardourel, V. (2015). A discrete solution for the paradox of Achilles and the tortoise. Synthese 192 (9), pp. 2843-2861.

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