Cantor’s Absolute in Metaphysics and Mathematics

Kai Hauser · International Philosophical Quarterly · 2013

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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