Cantor’s Absolute in Metaphysics and Mathematics

International Philosophical Quarterly 53 (2):161-188 (2013)
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Abstract

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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00190365

DOI

10.5840/ipq201353219

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Citations of this work

The negative theology of absolute infinity: Cantor, mathematics, and humility.Rico Gutschmidt & Merlin Carl - forthcoming - International Journal for Philosophy of Religion:1-24.
Cantorian Infinity and Philosophical Concepts of God.Joanna Van der Veen & Leon Horsten - 2013 - European Journal for Philosophy of Religion 5 (3):117--138.
Intuition and Its Object.Kai Hauser - 2015 - Axiomathes 25 (3):253-281.

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