18 Unconventional Essays on the Nature of Mathematics

Edited by Reuben Hersh

in Springer Books from Springer

Date: 2006
ISBN: 978-0-387-29831-3
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Chapters in this book:

Ch 1 A Socratic Dialogue on Mathematics

Alfréd Rényi

Ch 2 “Introduction” to Filosofia e matematica

Carlo Cellucci

Ch 3 On Proof and Progress in Mathematics

William P. Thurston

Ch 4 The Informal Logic of Mathematical Proof

Andrew Aberdein

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

Yehuda Rav

Ch 6 Towards a Semiotics of Mathematics

Brian Rotman

Ch 7 Computers and the Sociology of Mathematical Proof

Donald MacKenzie

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

Terry Stanway

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

Rafael Núñez

Ch 10 Does Mathematics Need a Philosophy?

William Timothy Gowers

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

Jody Azzouni

Ch 12 The Pernicious Influence of Mathematics upon Philosophy

Gian-Carlo Rota

Ch 13 The Pernicious Influence of Mathematics on Science

Jack Schwartz

Ch 14 What Is Philosophy of Mathematics Looking for?

Alfonso C. del Ávila Palacio

Ch 15 Concepts and the Mangle of Practice Constructing Quaternions

Andrew Pickering

Ch 16 Mathematics as Objective Knowledge and as Human Practice

Eduard Glas

Ch 17 The Locus of Mathematical Reality: An Anthropological Footnote

Leslie A. White

Ch 18 Inner Vision, Outer Truth

Reuben Hersh

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DOI: 10.1007/0-387-29831-2

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