A discrete solution for the paradox of Achilles and the tortoise

Synthese 192 (9):2843-2861 (2015)

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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Vincent Ardourel
Centre National de la Recherche Scientifique

References found in this work

Process and Reality.Arthur E. Murphy - 1931 - Journal of Philosophical Studies 6 (21):102-106.
The Structure of Time.W. Newton-Smith - 1980 - Routledge & Kegan Paul.
The Principles of Mathematics. [REVIEW]E. N. - 1938 - Journal of Philosophy 35 (7):191-192.

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