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Mathematical Anti-Realism and Modal Nothingism

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Part of Elements in the Philosophy of Mathematics

  • Date Published: January 2023
  • availability: Available
  • format: Paperback
  • isbn: 9781009346016

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  • This Element defends mathematical anti-realism against an underappreciated problem with that view-a problem having to do with modal truthmaking. Part I develops mathematical anti-realism, it defends that view against a number of well-known objections, and it raises a less widely discussed objection to anti-realism-an objection based on the fact that (a) mathematical anti-realists need to commit to the truth of certain kinds of modal claims, and (b) it's not clear that the truth of these modal claims is compatible with mathematical anti-realism. Part II considers various strategies that anti-realists might pursue in trying to solve this modal-truth problem with their view, it argues that there's only one viable view that anti-realists can endorse in order to solve the modal-truth problem, and it argues that the view in question-which is here called modal nothingism-is true.

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    Product details

    • Date Published: January 2023
    • format: Paperback
    • isbn: 9781009346016
    • length: 75 pages
    • dimensions: 228 x 151 x 6 mm
    • weight: 0.15kg
    • availability: Available
  • Table of Contents

    1. Introduction
    2. What is mathematical anti-realism?
    3. Mathematical error theory defended
    4. Paraphrase nominalism and deflationary-truth nominalism revisited
    5. Modal semantics and modal truthmaking
    6. Possible worlds
    7. Modal primitivism
    8. Modal nothingism to the rescue
    References.

  • Author

    Mark Balaguer, California State University

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