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Mathematics without Numbers: Towards a Modal-Structural Interpretation (Clarendon Paperbacks) - Softcover
Synopsis
Hellman here presents a detailed interpretation of mathematics as the investigation of "structural possibilities," as opposed to absolute, Platonic objects. After treating the natural numbers and analysis, he extends the approach to set theory, where he demonstrates how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.
"synopsis" may belong to another edition of this title.
About the Author
Geoffrey Hellman is at University of Minnesota.
Review
"An exciting and intriguing book, rich in ideas and not short on technical ingenuity, that will doubtless repay careful study."--Philosophical Review
"A breath-taking blend of philosophy, mathematics, and logic....Rich, subtle, and insightful."--Nous
"Several important insights are woven together and brought to bear on the nature of mathematics in this signal contribution to the philosophy of the field."--Mathematical Reviews
"About this title" may belong to another edition of this title.
- PublisherClarendon Press
- Publication date1994
- ISBN 10 0198240341
- ISBN 13 9780198240341
- BindingPaperback
- LanguageEnglish
- Number of pages168
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Mathematics without Numbers: Towards a Modal-Structural Interpretation (Clarendon Paperbacks)
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Mathematics without Numbers: Towards a Modal-Structural Interpretation (Clarendon Paperbacks)
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Oxford University Press, United Kingdom, Oxford, 1993
ISBN 10: 0198240341
ISBN 13: 9780198240341
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Paperback. Condition: Very Good. Geoffrey Hellman presents a detailed interpretation of mathematics as the investigation of structural possibilities, as opposed to absolute, Platonic objects. After dealing with the natural numbers and analysis, he extends his approach to set theory, and shows how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Seller Inventory # GOR011172618
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