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Mathematics and Reality
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Mathematics and Reality

Mary Leng

Abstract

This book offers a defence of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects. Perhaps the most pressing challenge to mathematical fictionalism is the indispensability argument for the truth of our mathematical theories (and therefore for the existence of the mathematical objects posited by those theories). According to this argument, if we have reason to believe anything, we have reason to believe that the claims of our best empirical theories are (at least approximately) true. But since claims whose truth would require the ex ... More

Keywords: mathematics, philosophy, realism, fictionalism, naturalism, indispensability, science, ontology, objects, truth

Bibliographic Information

Print publication date: 2010 Print ISBN-13: 9780199280797
Published to Oxford Scholarship Online: May 2010 DOI:10.1093/acprof:oso/9780199280797.001.0001

Authors

Affiliations are at time of print publication.

Mary Leng, author
University of Liverpool
Author Webpage