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In Metaphysics Theta 6, 1048b14-17, Aristotle treats the problem of what it is for the infinite to exist potentially, i. e., to be potentially actual. According to my interpretation, Aristotle argues that to exist potentially is for the infinite to have a potentiality which cannot be actualized in reality but only in thought, because it is a potentiality the process of whose actualization cannot be brought to an end.

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This page is a summary of: Potentiality and Actuality of the Infinite: A Misunderstood Passage in Aristotle’s Metaphysics (Θ.6, 1048b14-17), Phronesis, March 2017, Brill,
DOI: 10.1163/15685284-12341324.
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