Overview
Mary Leng offers a defense 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 existence of mathematical objects are indispensable in formulating our best empirical theories, it follows that we have good reason to believe in the mathematical objects posited by those mathematical theories used in empirical science, and therefore to believe that the mathematical theories utilized in empirical science are true. Previous responses to the indispensability argument have focussed on arguing that mathematical assumptions can be dispensed with in formulating our empirical theories. Leng, by contrast, offers an account of the role of mathematics in empirical science according to which the successful use of mathematics in formulating our empirical theories need not rely on the truth of the mathematics utilized.
Full Product Details
Author: Mary Leng (University of York)
Publisher: Oxford University Press
Imprint: Oxford University Press
Dimensions:
Width: 15.60cm
, Height: 1.60cm
, Length: 23.50cm
Weight: 0.420kg
ISBN: 9780199674688
ISBN 10: 019967468
Pages: 290
Publication Date: 21 March 2013
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Postgraduate, Research & Scholarly
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
Mathematics and Reality is to be recommended highly ... it presents a distinctive new version of fictionalism to throw into the contemporary mix that will repay close attention by all philosophers of mathematics. Alan Weir, British Journal for the Philosophy of Science this book has the potential to serve as a source of productive disagreement that would significantly advance the realism-anti-realism debate in mathematics. Jeffrey W. Rowland, Mind
this book has the potential to serve as a source of productive disagreement that would significantly advance the realism-anti-realism debate in mathematics. Jeffrey W. Rowland, Mind
`an original and valuable study ' The Philosophical Quarterly `as the most substantial work on nominalism to appear for a decade or so, it demands a prompt response from the antinominalist side if the issue is not to go by default, and as the earliest large-scale treatment of an important type of position, it is likely to be the point of departure in debates for years to come ... belongs on the shelf of every philosopher of mathematics. ' Philosophia Mathematica
Author Information
Mary Leng is Lecturer in Philosophy at the University of York. She previously held a research fellowship at St John's College, Cambridge (2002-2006), and visiting fellowships at the University of California at Irvine (2001) and the Peter Wall Institute for Advanced Study at the University of British Columbia (2003). Her primary research interests are in the Philosophy of Mathematics and Logic, and the Philosophy of Science. She is the co-editor (with Alexander Paseau and Michael Potter) of Mathematical Knowledge (Oxford: OUP, 2007).
