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This title in other formats:A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematicsby John P. Burgess
Synopses & ReviewsPublisher Comments: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. This book cuts through a host of technicalities that have obscured previous discussions of these projects, and presents clear, concise accounts 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. Review: "...the book is a striking tour de force, and readers on many different levels and with different interests will find it instructive and challenging."--The Journal of Symbolic Logic
Table of Contents Preface Part I: Philosophical and Technical Background A. Introduction; B. A Common Framework for Strategies Part II: Three Major Strategies A. A Geometric Strategy B. A Purely Modal Strategy C. A Mixed Modal Strategy Part III: Further Strategies and a Provisional Assessment A. Miscellaneous Strategies B. Strategies in the Literature C. Conclusion Bibliography Index What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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