How the continuum hypothesis could have been a fundamental axiom

Joel David Hamkins, “How the continuum hypothesis could have been a fundamental axiom,” Journal for the Philosophy of Mathematics (2024), DOI:10.36253/jpm-2936, arxiv:2407.02463.

How the continuum hypothesis could have been a fundamental axiom

Abstract. I describe a simple historical thought experiment showing how we might have come to view the continuum hypothesis as a fundamental axiom, one necessary for mathematics, indispensable even for calculus.

See also this talk I gave on the topic at the University of Oslo:

This entry was posted in Publications and tagged categoricity, CH, continuum hypothesis, hyperreal numbers, Leibniz, Newton, thought experiment by Joel David Hamkins. Bookmark the permalink.

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