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International Philosophical Quarterly

Volume 53, Issue 2, June 2013

Kai Hauser
Pages 161-188
DOI: 10.5840/ipq201353219

Cantor’s Absolute in Metaphysics and Mathematics

This paper explores the metaphysical roots of Cantor’s conception of absolute infinity in order to shed some light on two basic issues that also affect the mathematical theory of sets: the viability of Cantor’s distinction between sets and inconsistent multiplicities, and the intrinsic justification of strong axioms of infinity that are studied in contemporary set theory.

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