Mathematical Anti-Realism And Modal Nothingism (Elements In The Philosophy Of Mathematics)

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.

• | Author: Mark Balaguer
• | Publisher: Cambridge University Press
• | Publication Date: Jan 05, 2023
• | Number of Pages: 86 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 1009346016
• | ISBN-13: 9781009346016