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• W3183764035 abstract "This paper argues that, insofar as we doubt the bivalence of the Continuum Hypothesis or the truth of the Axiom of Choice, we should also doubt the consistency of third-order arithmetic, both the classical and intuitionistic versions. Underlying this argument is the following philosophical view. Mathematical belief springs from certain intuitions, each of which can be either accepted or doubted in its entirety, but not half-accepted. Therefore, our beliefs about reality, bivalence, choice and consistency should all be aligned." @default.
• W3183764035 created "2021-08-02" @default.
• W3183764035 creator A5041447634 @default.
• W3183764035 date "2022-06-30" @default.
• W3183764035 modified "2023-10-18" @default.
• W3183764035 title "The Price of Mathematical Scepticism" @default.
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• W3183764035 doi "https://doi.org/10.1093/philmat/nkac011" @default.
• W3183764035 hasPublicationYear "2022" @default.
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