18 Unconventional Essays on the Nature of Mathematics

1. A Socratic Dialogue on Mathematics
Alfréd Rényi

2. “Introduction” to Filosofia e matematica
Carlo Cellucci

3. On Proof and Progress in Mathematics
William P. Thurston

4. The Informal Logic of Mathematical Proof
Andrew Aberdein

5. Philosophical Problems of Mathematics in the Light of Evolutionary Epistemology
Yehuda Rav

6. Towards a Semiotics of Mathematics
Brian Rotman

7. Computers and the Sociology of Mathematical Proof
Donald MacKenzie

8. From G.H.H. and Littlewood to XML and Maple: Changing Needs and Expectations in Mathematical Knowledge Management
Terry Stanway

9. Do Real Numbers Really Move? Language, Thought, and Gesture: The Embodied Cognitive Foundations of Mathematics
Rafael Núñez

10. Does Mathematics Need a Philosophy?
William Timothy Gowers

11. How and Why Mathematics Is Unique as a Social Practice
Jody Azzouni

12. The Pernicious Influence of Mathematics upon Philosophy
Gian-Carlo Rota

13. The Pernicious Influence of Mathematics on Science
Jack Schwartz

14. What Is Philosophy of Mathematics Looking for?
Alfonso C. Ávila Palacio

15. Concepts and the Mangle of Practice Constructing Quaternions
Andrew Pickering

16. Mathematics as Objective Knowledge and as Human Practice
Eduard Glas

17. The Locus of Mathematical Reality: An Anthropological Footnote
Leslie A. White

18. Inner Vision, Outer Truth
Reuben Hersh

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Keywords: MATHEMATICS / General MAT000000