The philosophy of mathematical practice / ed. by Mancosu P. - Oxford; New York: Oxford University Press, 2008. - 447 p. - ISBN 978-0-19-929645-3  Место хранения:   035 | Объединенный институт истории, филологии и философии СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Biographies .................................................. viii Introduction ................................................ 1 1. Visualizing in Mathematics ................................. 22 2. Cognition of Structure ..................................... 43 3. Diagram-Based Geometric Practice ........................... 65 4. The Euclidean Diagram (1995) ............................... 80 5. Mathematical Explanation: Why it Matters .................. 134 6. Beyond Unification ........................................ 151 7. Purity as an Ideal of Proof ............................... 179 8. Reflections on the Purity of Method in Hilbert's Grundlagen der Geometrie .................................. 198 9. Mathematical Concepts and Definitions ..................... 256 10. Mathematical Concepts: Fruitfulncss and Naturalness ....... 276 11. Computers in Mathematical Inquiry ......................... 302 12. Understanding Proofs ...................................... 317 13. What Structuralism Achieves ............................... 354 14. 'There is No Ontology Here': Visual and Structural Geometry in Arithmetic .................................... 370 15. The Boundary Between Mathematics and Physics .............. 407 16. Mathematics and Physics: Strategies of Assimilation ....... 417 Index of Names ................................................ 441