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18 Unconventional Essays on the Nature of Mathematics 1st Edition by Reuben Hersh ISBN 0387257179 9780387257174

  • SKU: BELL-2008768
18 Unconventional Essays on the Nature of Mathematics 1st Edition by Reuben Hersh ISBN 0387257179 9780387257174
$ 35.00 $ 45.00 (-22%)

4.1

90 reviews

18 Unconventional Essays on the Nature of Mathematics 1st Edition by Reuben Hersh ISBN 0387257179 9780387257174 instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 1.53 MB
Pages: 346
Author: Reuben Hersh (Editor)
ISBN: 9780387257174, 9780387298313, 0387257179, 0387298312
Language: English
Year: 2005
Edition: 1

Product desciption

18 Unconventional Essays on the Nature of Mathematics 1st Edition by Reuben Hersh ISBN 0387257179 9780387257174 by Reuben Hersh (editor) 9780387257174, 9780387298313, 0387257179, 0387298312 instant download after payment.

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Product details:

ISBN 10: 0387257179 
ISBN 13: 9780387257174
Author: Reuben Hersh

This book comes from the Internet. Browsing the Web, I stumbled on philosophers, cognitive scientists, sociologists, computer scientists, even mathematicians!―saying original, provocative things about mathematics. And many of these people had probably never heard of each other! So I have collected them here. This way, they can read each other’s work. I also bring back a few provocative oldies that deserve publicity. The authors are philosophers, mathematicians, a cognitive scientist, an anthropologist, a computer scientist, and a couple of sociologists. (Among the mathematicians are two Fields Prize winners and two Steele Prize w- ners. ) None are historians, I regret to say, but there are two historically o- ented articles. These essays don’t share any common program or ideology. The standard for admission was: Nothing boring! Nothing trite, nothing tr- ial! Every essay is challenging, thought-provoking, and original. Back in the 1970s when I started writing about mathematics (instead of just doing mathematics), I had to complain about the literature. Philosophy of science was already well into its modern revival (largely stimulated by the book of Thomas Kuhn). But philosophy of mathematics still seemed to be mostly foundationist ping-pong, in the ancient style of Rudolf Carnap or Willard Van Ormond Quine. The great exception was Proofs and Refutations by Imre Lakatos. But that exciting book was still virtually unknown and unread, by either mathematicians or philosophers. (I wrote an article en- tled “Introducing Imre Lakatos” in the Mathematical Intelligencer in 1978.

18 Unconventional Essays on the Nature of Mathematics 1st Table of contents:

  1. A Socratic Dialogue on Mathematics

  2. “Introduction” to Filosofia e matematica

  3. On Proof and Progress in Mathematics

  4. The Informal Logic of Mathematical Proof

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

  6. Towards a Semiotics of Mathematics

  7. Computers and the Sociology of Mathematical Proof

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

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

  10. Does Mathematics Need a Philosophy?

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

  12. The Pernicious Influence of Mathematics upon Philosophy

  13. The Pernicious Influence of Mathematics on Science

  14. What Is Philosophy of Mathematics Looking for?

  15. Concepts and the Mangle of Practice Constructing Quaternions

  16. Mathematics as Objective Knowledge and as Human Practice

  17. The Locus of Mathematical Reality: An Anthropological Footnote

  18. Inner Vision, Outer Truth

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Tags: Reuben Hersh, Unconventional, Essays

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