Cantor, God, and Inconsistent Multiplicities

Studies in Logic, Grammar and Rhetoric 44 (1):133-146 (2016)
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Abstract

The importance of Georg Cantor’s religious convictions is often neglected in discussions of his mathematics and metaphysics. Herein I argue, pace Jan ́e (1995), that due to the importance of Christianity to Cantor, he would have never thought of absolutely infinite collections/inconsistent multiplicities,as being merely potential, or as being purely mathematical entities. I begin by considering and rejecting two arguments due to Ignacio Jan ́e based on letters to Hilbert and the generating principles for ordinals, respectively, showing that my reading of Cantor is consistent with that evidence. I then argue that evidence from Cantor’s later writings shows that he was still very religious later in his career, and thus would not have given up on the reality of the absolute, as that would imply an imperfection on the part of God.

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Aaron Thomas-Bolduc
University of Calgary

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.
30 Spinoza and the Universal Set: A Proposal.Meir Buzaglo - 2024 - In Mirosław Szatkowski, Ontology of Divinity. Boston: De Gruyter. pp. 631-644.
Ontology of Divinity.Mirosław Szatkowski (ed.) - 2024 - Boston: De Gruyter.

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