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

Citations of this work

Alexander of Aphrodisias on the Principle of Non-Contradiction: The Argument "from Signification".Inna Kupreeva - 2023 - In M. Mouzala (ed) Ancient Greek Dialectic and Its Reception, W. de Gruyter, 2023. Berlin: W. de Gruyter. pp. 287-330.
Zeno Beach.Jacob Rosen - 2020 - Phronesis 65 (4):467-500.
Locke's Aristotelian theory of quantity.Anat Schechtman - 2023 - Philosophy and Phenomenological Research 107 (2):337-356.

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