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

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

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