The Necessity of Mathematics

Noûs 52 (2018)
Authors
Juhani Yli-Vakkuri
University of Tartu
John Hawthorne
University of Southern California
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.
Keywords Mathematics  Modality  Counterfactuals  Metaphysical necessity
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Reprint years 2018
DOI 10.1111/nous.12268
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Demonstratives.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. Oxford University Press. pp. 481-563.
Remarks on Counterpossibles.Berit Brogaard & Joe Salerno - 2013 - Synthese 190 (4):639-660.
Impossible Worlds: A Modest Approach.Daniel Nolan - 1997 - Notre Dame Journal of Formal Logic 38 (4):535-572.

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