John P. Burgess

Gideon Rosen

Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. A Subject With No Object cuts through a host of technicalities that have obscured previous discussions of these projects, and presents clear, concise accounts, with minimal prerequisites, of a dozen strategies for nominalistic interpretation of mathematics, thus equipping the reader to evaluate each and to compare different ones. The authors also offer critical discussion, rare in the literature, of the aims and claims of nominalistic interpretation, suggesting that it is significant in a very different way from that usually assumed.

Strategies for Nominalistic Interpretation of Mathematics

A Subject With No Object

Joshua Cohen

Alex Byrne

Seana Valentine Shiffrin

Elizabeth Harman

The Norton Introduction to Philosophy (Second Edition)

Edited by a team of four leading philosophers, The Norton Introduction to Philosophy introduces students to contemporary perspectives on major philosophical issues and questions. This text features an impressive array of readings, including 25 specially-commissioned essays by prominent philosophers. A student-friendly presentation, a handy format, and a low price make The Norton Introduction to Philosophy as accessible and affordable as it is up-to-date.

The Norton Introduction to Philosophy

Gideon Rosen

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