The Necessity of Mathematics

Noûs 54 (3):549-577 (2020)
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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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Author Profiles

Juhani Yli-Vakkuri
Australian Catholic University
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.
How can necessary facts call for explanation.Dan Baras - 2020 - Synthese 198 (12):11607-11624.
Metaphysical Nihilism and Modal Logic.Ethan Brauer - 2022 - Philosophical Studies 179 (9):2751-2763.
Are Counterpossibles Epistemic?Daniel Dohrn - 2021 - Pacific Philosophical Quarterly 102 (1):51-72.

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References found in this work

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.
Counterfactuals.David Lewis - 1973 - Tijdschrift Voor Filosofie 36 (3):602-605.
Counterfactuals.David Lewis - 1973 - Foundations of Language 13 (1):145-151.
Williamson on Counterpossibles.Berto Francesco, David Ripley, Graham Priest & Rohan French - 2018 - Journal of Philosophical Logic 47 (4):693-713.
Modal science.Timothy Williamson - 2016 - Canadian Journal of Philosophy 46 (4-5):453-492.

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