Mathematical Anti-Realism and Modal Nothingism

di Mark Balaguer (Autore)

Cambridge University Press, 2023

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.

• Autore: Mark Balaguer
• Editore: Cambridge University Press
• Collana: Elements in the Philosophy of Mathematics
• Anno: 2023
• Rilegatura: Paperback / softback
• Pagine: 75 p.
• Dimensioni: 229 x 152 mm
• Peso: 138 gr.
• EAN: 9781009346016

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