The Necessity of Mathematics

Noûs 52 (2018)
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Abstract

Some have argued for a division of epistemic labor in which mathematicians supply truths and philosophers supply their necessity. We argue that this is wrong: mathematics is committed to its own necessity. Counterfactuals play a starring role.

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John Hawthorne
Australian Catholic University

Citations of this work

Counterpossibles.Alexander W. Kocurek - 2021 - Philosophy Compass 16 (11):e12787.
Epistemic Autonomy and Externalism.J. Adam Carter - 2020 - In Kirk Lougheed & Jonathan Matheson (eds.), Epistemic Autonomy. London: Routledge.
Are Counterpossibles Epistemic?Daniel Dohrn - 2021 - Pacific Philosophical Quarterly 102 (1):51-72.
How Can Necessary Facts Call for Explanation.Dan Baras - 2020 - Synthese 198 (12):11607-11624.
Counterfactual Logic and the Necessity of Mathematics.Samuel Z. Elgin - 2021 - Journal of Philosophical Logic 50 (1):97-115.

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References found in this work

Writing the Book of the World.Theodore Sider - 2011 - Oxford, England: Oxford University Press.
Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and Other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. Oxford University Press. pp. 481-563.
Modal Logic as Metaphysics.Timothy Williamson - 2013 - Oxford, England: Oxford University Press.

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