Aristotle, Zeno, and the Potential Infinite

Bibliographic Data

ID23156223
AuthorsDavid Bostock (corresponding author)
Year2006
Volume73
Pages116-127
Publication date2006-02-16
Peer ReviewedYes
Open AccessNo
TypeCHAPTER
VenueSpace, time, matter and form (SOURCE_BOOK)
PublisherOxford University PressOxford (PUBLISHER)
DOI10.1093/0199286868.003.0007
OpenAlexW2809690244
ISBN9780199286867
LanguageEN
Citations received7
References cited33

This essay argues that Aristotle misdescribes his own position when he sums it up as the claim that infinity can only be potential and never actual. He readily accepts that there are processes which are actually infinite, that is, never-ending. But he denies that there can ever be a time when an infinite process has been completed. This means that he has to find some fault with Zeno’s well-known argument of Achilles and the tortoise, which he does by introducing the idea that points do not exist until they are ‘actualized’. It is argued that this idea, though ingenious and certainly appropriate to the problem, does not work out in the end.

Calculus (dental) · Epistemology · Zeno's paradoxes · Classical Philosophy and Thought · Mathematics · Medicine · Philosophy

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