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Chance and the Continuum Hypothesis.

This paper presents and defends an argument that the continuum hypothesis is false, based on considerations about objective chance and an old theorem due to Banach and Kuratowski. More specifically, I argue that the probabilistic inductive methods standardly used in science presuppose that every pro...

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Published in:Philosophy & Phenomenological Research Vol. 103; no. 3; pp. 639 - 661
Format: Article
Published: Wiley-Blackwell Nov2021
Subjects:
Continuum hypothesis
Set theory
Generalized continuum hypothesis
Probabilistic number theory
Axioms
Online Access:View this record in EBSCOhost

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