Cantor’s Concept of Set in the Light of Plato’s Philebus

Review of Metaphysics 63 (4):783-805 (2010)
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Abstract

In explaining his concept of set Cantor intimates a connection with the metaphysical scheme put forward in Plato’s Philebus to determine the place of pleasure. We argue that these determinations capture key ideas of Cantorian set theory and, moreover, extend to intuitions which continue to play a central role in the modern mathematics of infinity.

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Citations of this work

On the Digital Ocean.Sarah Pourciau - 2022 - Critical Inquiry 48 (2):233-261.
Intuition and Its Object.Kai Hauser - 2015 - Axiomathes 25 (3):253-281.

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