Phronesis 65 (4):467-500 (2020)
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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.
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Keywords | Aristotle Infinity |
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DOI | 10.1163/15685284-bja10031 |
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References found in this work BETA
Philosophy of Mathematics and Deductive Structure of Euclid 's "Elements".Ian Mueller - 1981 - Dover Publications.
Time, Creation, and the Continuum: Theories in Antiquity and the Early Middle Ages.Richard Sorabji - 1983 - University of Chicago Press.
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