Foundations without Foundationalism (häftad)
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Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
300
Utgivningsdatum
2000-03-01
Upplaga
New e.
Förlag
OUP Oxford
Illustrationer
references, indexes
Dimensioner
237 x 160 x 20 mm
Vikt
430 g
Antal komponenter
1
Komponenter
49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam
ISBN
9780198250296

Foundations without Foundationalism

A Case for Second-Order Logic

av Stewart Shapiro
Häftad,  Engelska, 2000-03-01
674
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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
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Recensioner i media

Journal of Symbolic Logic Contains more on second-order logic than is readily available in any other textbook or survey. Philosophically, the book also contains many words of wisdom.

Övrig information

Stewart Shapiro is Professor of Philosophy at Ohio State University.

Innehållsförteckning

PART I: ORIENTATION; 1. TERMS AND QUESTIONS; 2. FOUNDATIONALISM AND FOUNDATIONS OF MATHEMATICS; PART II: LOGIC AND MATHEMATICS; 3. THEORY; 4. METATHEORY; 5. SECOND-ORDER LOGIC AND MATHEMATICS; 6. ADVANCED METATHEORY; PART III: HISTORY AND PHILOSOPHY; 7. THE HISTORICAL 'TRIUMPH' OF FIRST-ORDER LANGUAGES; 8. SECOND-ORDER LOGIC AND RULE-FOLLOWING; 9. THE COMPETITION; REFERENCES; INDEX

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