Aaron Thomas-Bolduc
University of Calgary
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.
Keywords Georg Cantor  Set Theory  History of Mathematics  inconsitent multuplicities
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DOI 10.1515/slgr-2016-0008
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Cantorian Infinity and Philosophical Concepts of God.Joanna van der Veen & Leon Horsten - 2013 - European Journal for Philosophy of Religion 5 (3):117--138.
Idealist and Realist Elements in Cantor's Approach to Set Theory.I. Jane - 2010 - Philosophia Mathematica 18 (2):193-226.
The Burali-Forti Paradox.Irving M. Copi - 1958 - Philosophy of Science 25 (4):281-286.

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