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Mathematical Anti-Realism and Modal Nothingism

Mathematical Anti-Realism and Modal Nothingism - Elements in the Philosophy of Mathematics

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Publisher's Synopsis

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.

About the Publisher

Cambridge University Press

Cambridge University Press dates from 1534 and is part of the University of Cambridge. We further the University's mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence.

Book information

ISBN: 9781009346016
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 510.1
DEWEY edition: 23
Language: English
Number of pages: 75
Weight: 146g
Height: 154mm
Width: 228mm
Spine width: 11mm