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Cantor’s Absolute in Metaphysics and Mathematics
International Philosophical Quarterly 53 (2):161-188 (2013)
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.Other Versions
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Citations of this work
The negative theology of absolute infinity: Cantor, mathematics, and humility.Rico Gutschmidt & Merlin Carl - 2024 - International Journal for Philosophy of Religion 95 (3):233-256.
Cantorian Infinity and Philosophical Concepts of God.Joanna Van der Veen & Leon Horsten - 2013 - European Journal for Philosophy of Religion 5 (3):117--138.
Why is Cantor’s Absolute Inherently Inaccessible?Stathis Livadas - 2020 - Axiomathes 30 (5):549-576.
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