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Item Details
| Title:
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FOUNDATIONS WITHOUT FOUNDATIONALISM
A CASE FOR SECOND-ORDER LOGIC |
| By: |
Stewart Shapiro |
| Format: |
Paperback |
| List price:
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£36.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0198250290 |
| ISBN 13: |
9780198250296 |
| Publisher: |
OXFORD UNIVERSITY PRESS |
| Pub. date: |
1 November, 1999 |
| Pages: |
300 |
| Description: |
Stewart Shapiro presents a distinctive original view of the foundations of mathematics, arguing that second-order logic has a central role to play in laying these foundations. He gives an accessible account of second-order and higher-order logic, paying special attention to philosophical and historical issues. Foundations without Foundationalism is a key contribution both to philosophy of mathematics and to mathematical logic. 'In this excellent treatise Shapiro defends the use of second-order languages and logic as frameworks for mathematics. His coverage of the wide range of logical and philosophical . . . is thorough, clear, and persuasive.' Michael D. Resnik, History and Philosophy of Logic |
| Synopsis: |
Stewart Shapiro presents a distinctive and persuasive view of the foundations of mathematics, arguing controversially that second-order logic has a central role to play in laying these foundations. To support this contention, he first gives a detailed development of second-order and higher-order logic, in a way that will be accessible to graduate students. He then demonstrates that second-order notions are prevalent in mathematics as practised, and that higher-order logic is needed to codify many contemporary mathematical concepts. Throughout, he emphasizes philosophical and historical issues that the subject raises. Foundations without Foundationalism is a key contribution both to philosophy of mathematics and to mathematical logic. 'In this excellent treatise Shapiro defends the use of second-order languages and logic as framework for mathematics. His coverage of the wide range of logical and philosophical topics required for understanding the controversy over second-order logic is thorough, clear, and persuasive...Shapiro recognizes that it is unlikely that he has had the last word on these controversial philosophical subjects.Nevertheless, his book is certainly an excellent place to start work on them.' Michael D. Resnik, History and Philosophy of Logic |
| Publication: |
UK |
| Imprint: |
Oxford University Press |
| Returns: |
Non-returnable |
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