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A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics (Revised)

A Subject with No Object

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"A Subject with No Object" by John P. Burgess, Gideon Rosen is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

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 abstract entities, 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 hostof 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.

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Best For: Readers interested in the philosophical foundations of mathematics and nominalism
Focus: Exploring strategies for interpreting mathematics without assuming the existence of abstract mathematical objects
Covers: Philosophical issues related to the nature of numbers and mathematical objects, nominalistic interpretations, and the epistemology of mathematics
Why It Matters: Addresses the challenge of understanding mathematical knowledge without positing abstract entities, which is central to debates in philosophy of mathematics and metaphysics

"A Subject with No Object" by John P. Burgess, Gideon Rosen is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: John P. Burgess, Gideon Rosen

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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 abstract entities, 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 hostof 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.

AuthorJohn P. Burgess, Gideon Rosen
PublisherOxford University Press on Demand
Published1999
ISBN-139780198250128
BindingPaperback
Pages259
LanguageEnglish
SubjectsPhilosophy
TopicCore Mathematics

Format: Paperback

Length: 259 pages

Language: English

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