Mathematical Anti-Realism and Modal Nothingism

Mark Balaguer (California State University)

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English

Cambridge University Press
05 January 2023

Mathematics & Sciences; Philosophy of mathematics

Series: Elements in the Philosophy of Mathematics

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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.

By: Mark Balaguer (California State University)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 228mm, Width: 151mm, Spine: 6mm
Weight: 150g
ISBN: 9781009346016
ISBN 10: 1009346016
Series: Elements in the Philosophy of Mathematics
Pages: 75
Publication Date: 05 January 2023
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active