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.
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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
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Mathematics without Numbers: Towards a Modal-Structural Interpretation.
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Oxford: Clarendon Press, 1989., 1989
ISBN 10: 0198249349
ISBN 13: 9780198249344
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Hardcover. Condition: Fine. Dust Jacket Condition: Fine. 1st Edition. ix, 1 leaf, 154 pp. Original cloth. Near Fine, in near fine dust jacket. In print in paperback only at US$109.99. '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' (Oxford University Press Web site). '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). Seller Inventory # 18397
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Mathematics Without Numbers: Towards a Modal-Structural Interpretation
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Oxford University Press, 1989
ISBN 10: 0198249349
ISBN 13: 9780198249344
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Mathematics Without Numbers Towards a Modal-Structural Interpretation
Published by
Oxford University Press, 1989
ISBN 10: 0198249349
ISBN 13: 9780198249344
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Mathematics Without Numbers: Towards a Modal-Structural Interpretation
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Oxford University Press, 1989
ISBN 10: 0198249349
ISBN 13: 9780198249344
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