Résumé
The Philosophy of Mathematics Today gives a panorama of the best current work in this lively field, through twenty essays specially written for this collection by leading figures. The topics include indeterminacy, logical consequence, mathematical methodology, abstraction, and both Hilbert's and Frege's foundational programmes. The collection will be an important source for research in the philosophy of mathematics for years to come.
Contributors Paul Benacerraf, George Boolos, John P. Burgess, Charles S. Chihara, Michael Detlefsen, Michael Dummett, Hartry Field, Kit Fine, Bob Hale, Richard G. Heck, Jnr., Geoffrey Hellman, Penelope Maddy, Karl-Georg Niebergall, Charles D. Parsons, Michael D. Resnik, Matthias Schirn, Stewart Shapiro, Peter Simons, W.W. Tait, Crispin Wright.
Contents
- Introduction
- Ontology, models, and indeterminacy
- What Mathematical Truth Could Not Be--1
- Is Platonism Epistemologically Bankrupt?
- Do We Have a Determinate Conception of Finiteness and Natural Number?
- Logical Consequence: Models and Modality
- Tarski's Thesis and the Ontology of Mathematics
- Mathematics, science, and method
- Naturalizing Mathematical Methodology
- Occam's Razor and Scientific Method
- Beyond Definitionism - But Not Too Far Beyond
- Holistic Mathematics
- Finitism and intuitionism
- Finitism and Intuitive Knowledge
- Hilbert's Finitism and the Notion of Infinity
- Constructive Existence Claims
- Frege and the foundations of arithmetic
- On the Harmless Impredicativity of N= (`Hume's Principle')
- Neo-Fregeans: In Bad Company?
- Response to Dummett
- Die Grundlagen der Arithmetik, 82-3
- The Finite and the Infinite in Frege's Grundgesetze der Arithmetik
- Sets, structure, and abstraction
- Zermelo's Conception of Set Theory and Reflection Principles
- Structure and Abstraction
- The Limits of Abstraction
- Index
L'auteur - Matthias Schirn
Professor of Philosophy, University of Munich,
Germany
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Oxford University Press |
| Auteur(s) | Matthias Schirn |
| Parution | 03/06/2003 |
| Nb. de pages | 650 |
| Format | 15,5 x 23,5 |
| Couverture | Broché |
| Poids | 915g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780199262625 |
| ISBN13 | 978-0-19-926262-5 |
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