If There Were No Numbers, What Would You Think?

Thought: A Journal of Philosophy 3 (4):283-287 (2014)
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Abstract

Hartry Field has argued that mathematical realism is epistemologically problematic, because the realist is unable to explain the supposed reliability of our mathematical beliefs. In some of his discussions of this point, Field backs up his argument by saying that our purely mathematical beliefs do not ‘counterfactually depend on the facts’. I argue that counterfactual dependence is irrelevant in this context; it does nothing to bolster Field's argument

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Tom Donaldson
Simon Fraser University

Citations of this work

Debunking arguments.Daniel Z. Korman - 2019 - Philosophy Compass 14 (12):e12638.
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Coincidence Avoidance and Formulating the Access Problem.Sharon E. Berry - 2020 - Canadian Journal of Philosophy 50 (6):687 - 701.

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References found in this work

Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
The Myth of Morality.Richard Joyce - 2001 - New York: Cambridge University Press.
Realism, Mathematics, and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.

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