Aristotle's Actual Infinities

Oxford Studies in Ancient Philosophy 59 (2021)
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Abstract

Aristotle is said to have held that any kind of actual infinity is impossible. I argue that he was a finitist (or "potentialist") about _magnitude_, but not about _plurality_. He did not deny that there are, or can be, infinitely many things in actuality. If this is right, then it has implications for Aristotle's views about the metaphysics of parts and points.

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Jacob Rosen
University of Pittsburgh

References found in this work

Aristotelian Infinites.John M. Cooper - 2016 - Oxford Studies in Ancient Philosophy 51:161-206.
Aristotle on the infinite.Ursula Coope - 2012 - In Christopher Shields (ed.), Oxford Handbook of Aristotle. Oxford University Press. pp. 267.
Aristotelian infinity.Jaakko Hintikka - 1966 - Philosophical Review 75 (2):197-218.
Aristotelian Infinity.John Bowin - 2007 - Oxford Studies in Ancient Philosophy 32:233-250.
Aristotle, Zeno, and the Potential Infinite.David Bostock - 1973 - Proceedings of the Aristotelian Society 73:37 - 51.

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