Philosophy of mathematics : an anthology / edited by Dale Jacquette.
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| Other Authors: | |
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| Format: | Book |
| Language: | English |
| Published: |
Malden, Mass. :
Blackwell Publishers,
2002.
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| Series: | Blackwell philosophy anthologies ;
15. |
| Subjects: |
Table of Contents:
- Introduction: Mathematics and Philosophy of Mathematics / Dale Jacquette
- Pt. I. The Realm of Mathematics. 1. What is Mathematics About? / Michael Dummett. 2. Mathematical Explanation / Mark Steiner. 3. Frege versus Cantor and Dedekind: On the Concept of Number / William W. Tait. 4. The Present Situation in the Philosophy of Mathematics / Henry Mehlberg
- Pt. II. Ontology of Mathematics and the Nature and Knowledge of Mathematical Truth. 5. What Numbers Are / N. P. White. 6. Mathematical Truth / Paul Benacerraf. 7. Ontology and Mathematical Truth / Michael Jubien. 8. An Anti-realist Account of Mathematical Truth / Graham Priest. 9. What Mathematical Knowledge Could Be / Jerrold J. Katz. 10. The Philosophical Basis of Our Knowledge of Number / William Demopoulos
- Pt. III. Models and Methods of Mathematical Proof. 11. Mathematical Proof / G. H. Hardy. 12. What Does a Mathematical Proof Prove? / Imre Lakatos. 13. The Four-Color Problem / Kenneth Appel and Wolfgang Haken. 14. Knowledge of Proofs / Peter Pagin. 15. The Phenomenology of Mathematical Proof / Gian-Carlo Rota. 16. Mechanical Procedures and Mathematical Experience / Wilfried Sieg
- Pt. IV. Intuitionism. 17. Intuitionism and Formalism / L. E. J. Brouwer. 18. Mathematical Intuition / Charles Parsons. 19. Brouwerian Intuitionism / Michael Detlefsen. 20. A Problem of Intuitionism: The Apparent Possibility of Performing Infinitely Many Takes in a Finite Time / A. W. Moore. 21. A Pragmatic Analysis of Mathematical Realism and Intuitionism / Michel J. Blais
- Pt. V. Philosophical Foundations of Set Theory. 22. Sets and Numbers / Penelope Maddy. 23. Sets, Aggregates, and Numbers / Palle Yourgrau. 24. The Approaches to Set Theory / John Lake. 25. Where Do Sets Come From? / Harold T. Hodes. 26. Conceptual Schemes in Set Theory / Robert McNaughton. 27. What is Required of a Foundation for Mathematics? / John Mayberry.