Phronesis 65 (4):467-500 (2020)

Authors
Jacob Rosen
University of Pittsburgh
Abstract
On Zeno Beach there are infinitely many grains of sand, each half the size of the last. Supposing Aristotle denied the possibility of Zeno Beach, did he have a good argument for the denial? Three arguments, each of ancient origin, are examined: the beach would be infinitely large; the beach would be impossible to walk across; the beach would contain a part equal to the whole, whereas parts must be lesser. It is attempted to show that none of these arguments was Aristotle’s. Indeed, perhaps Aristotle’s finitism applied to magnitude only, not plurality.
Keywords Aristotle  Infinity
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DOI 10.1163/15685284-bja10031
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References found in this work BETA

Paradoxien des Unendlichen.Bernard Bolzano - 2012 - Felix Meiner Verlag.
Aristotle's Physics.W. D. Ross - 1936 - Mind 45 (179):378-383.
Aristotle's Actual Infinities.Jacob Rosen - 2021 - Oxford Studies in Ancient Philosophy 59.

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