Experiencing mathematics : what do we do, when we do mathematics? Reuben Hersh

Format:

Book

Author/Creator:

Hersh, Reuben, 1927- author.

Series:

Miscellaneous Books, v. 83

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Physical Description:

1 online resource

Place of Publication:

Providence, Rhode Island American Mathematical Society [2014]

System Details:

Mode of access : World Wide Web

Contents:

1. Overture 2. The ideal mathematician (with Philip J. Davis) 3. Manifesto 4. Self-introduction 5. Chronology 6. Mathematics has a front and a back 7. Introduction to part 1 8. True facts about imaginary objects 9. Mathematical intuition (Poincaré, Polya, Dewey) 10. To establish new mathematics, we use our mental models and build on established mathematics 11. How mathematicians convince each other or "The kingdom of math is within you" 12. On the interdisciplinary study of mathematical practice, with a real live case study 13. Wings, not foundations! 14. Inner vision, outer truth 15. Mathematical practice as a scientific problem 16. Proving is convincing and explaining 17. Fresh breezes in the philosophy of mathematics 18. Definition of mathematics 19. Introduction to "18 unconventional essays on the nature of mathematics" 20. Introduction to part 2 21. Rhetoric and mathematics (with Philip J. Davis) 22. Math lingo vs. plain English: Double entendre 23. Independent thinking 24. The "origin" of geometry 25. The wedding 26. Mathematics and ethics 27. Ethics for mathematicians 28. Under-represented, then over-represented: A memoir of Jews in American mathematics 29. Paul Cohen and forcing in 1963 30. Introduction to part 3 31. Review of Not exactly ... in praise of vagueness by Kees van Deemter 32. Review of How mathematicians think by William Byers 33. Review of The mathematician's brain by David Ruelle 34. Review of Perfect rigor by Masha Gessen 35. Review of Letters to a young mathematician by Ian Stewart 36. Review of Number and numbers by Alain Badiou 37. An amusing elementary example

Notes:

Includes bibliographical references and index

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2013

Description based on print version record

Other Format:

Print version: Hersh, Reuben, 1927- Experiencing mathematics :

ISBN:

9781470414122

Access Restriction:

Restricted for use by site license