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| Genre/Form: | Congresses Congrès |
|---|---|
| Material Type: | Conference publication, Internet resource |
| Document Type: | Book, Internet Resource |
| All Authors / Contributors: |
Matthias Schirn |
| ISBN: | 0198236549 9780198236542 |
| OCLC Number: | 37588507 |
| Notes: | Papers from a conference held in Munich from June 28 to July 4, 1993. |
| Description: | xii, 638 p. ; 24 cm. |
| Contents: | 1. What mathematical truth could not be, I / Paul Benacerraf -- 2. Is Platonism epistemologically bankrupt? / Bob Hale -- 3. Do we have a determinate conception of finiteness and natural number? / Hartry Field -- 4. Logical consequence : models and modality / Stewart Shapiro -- 5. Tarski's thesis and the ontology of mathematics / Charles Chihara -- 6. Naturalizing mathematical methodology / Penelope Maddy -- 7. Occam's razor and scientific method / John P. Burgess -- 8. Beyond definitionism, but not too far beyond / Geoffrey Hellman -- 9. Holistic mathematics / Michael D. Resnik -- 10. Finitism and intuitive knowledge / Charles Parsons -- 11. Hilbert's finitism and the notion of infinity / Karl-Georg Niebergall and Matthias Schirn -- 12. Constructive existence claims / Michael Detlefsen -- 13. On the harmless impredicativity of N(superscript =) ('Hume's Principle') / Crispin Wright -- 14. Neo-Fregeans : in bad company? / Michael Dummett -- 15. Response to Dummett / Crispin Wright -- 16. Die Grundlagen der Arithmetik, [actual symbol not reproducible] 82-3 / George Boolos and Richard G. Heck, Jr. -- 17. The finite and the infinite in Frege's Grundgesetze der Arithmetik / Richard G. Heck, Jr. -- 18. Zermelo's conception of set theory and reflection principles / W.W. Tait. -- 19. Structure and abstraction / Peter Simons -- 20. The limits of abstraction / Kit Fine. |
| Responsibility: | edited by Matthias Schirn. |
| More information: |
Abstract:
Representing the state of the art in the field of the philosophy of mathematics, this collection of 20 essays deals with fundamental issues, ranging from the nature of mathematical knowledge to sets and natural 'number'.
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