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
