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Mathematical Anti-Realism and Modal Nothingism (Elements in the Philosophy of Mathematics) (in English)
Mark Balaguer
(Author)
·
Cambridge University Press
· Paperback
Mathematical Anti-Realism and Modal Nothingism (Elements in the Philosophy of Mathematics) (in English) - Balaguer, Mark
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Synopsis "Mathematical Anti-Realism and Modal Nothingism (Elements in the Philosophy of Mathematics) (in English)"
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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The book is written in English.
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