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Cover: 9780198250128 | A Subject with No Object | Gideon Rosen | Taschenbuch | Paperback
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A Subject with No Object
Strategies for Nominalistic Interpretation of Mathematics
Taschenbuch von Gideon Rosen
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
John Burgess is Professor of Philosophy and Gideon Rosen is Assistant Professor of Philosophy at Princeton University.
Inhaltsverzeichnis
  • 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

Details
Erscheinungsjahr: 1999
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780198250128
ISBN-10: 0198250126
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Rosen, Gideon
Hersteller: OUP Oxford
Maße: 216 x 140 x 17 mm
Von/Mit: Gideon Rosen
Erscheinungsdatum: 02.12.1999
Gewicht: 0,388 kg
Artikel-ID: 108640509
Über den Autor
John Burgess is Professor of Philosophy and Gideon Rosen is Assistant Professor of Philosophy at Princeton University.
Inhaltsverzeichnis
  • 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

Details
Erscheinungsjahr: 1999
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780198250128
ISBN-10: 0198250126
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Rosen, Gideon
Hersteller: OUP Oxford
Maße: 216 x 140 x 17 mm
Von/Mit: Gideon Rosen
Erscheinungsdatum: 02.12.1999
Gewicht: 0,388 kg
Artikel-ID: 108640509
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