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  1. The Price of Mathematical Scepticism.Paul Blain Levy - 2022 - Philosophia Mathematica 30 (3):283-305.
    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.
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  • The Pragmatist's Troubles with Bivalence and Counterfactuals.Sean Allen Hermanson - 2001 - Dialogue 40 (4):669-690.
    RésuméJe me demande ici si les conceptions pragmatiques de la vérité peuvent être réconciliées avec les intuitions ordinaires quant à la portée de la bivalence. Je soutiens que les pragmatistes sont conduits à accepter une distinction du genre «type / occurrence» entre les formes d'une investigation et ses instanciations particulières, sous peine de banaliser leur vérificationnisme. Néanmoins, même la conception révisée que j'examine échoue à sauver les approches épistémiques de la vérité de certaines conséquences peu plausibles.
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  • The Significance of Semantic Realism.Alexander Miller - 2003 - Synthese 136 (2):191-217.
    This paper is concerned with the relationship between the metaphysical doctrine of realism about the external world and semantic realism, as characterised by Michael Dummett. I argue that Dummett's conception of the relationship is flawed, and that Crispin Wright's account of the relationship, although designed to avoid the problems which beset Dummett's, nevertheless fails for similar reasons. I then aim to show that despite the fact that Dummett and Wright both fail to give a plausible account of the relationship between (...)
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  • The question of realism.Kit Fine - 2001 - Philosophers' Imprint 1:1-30.
    This paper distinguishes two kinds of realist issue -- the issue of whether the propositions of a given domain are factual and the issue of whether they are fundamental. It criticizes previous accounts of what these issues come to and suggests that they are to be understood in terms of a basic metaphysical concept of reality. This leaves open the question of how such issues are to be resolved; and it is argued that this may be done through consideration of (...)
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