18 Unconventional Essays on the Nature of Mathematics

Reuben Hersh

330 pages, parution le 04/11/2005

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Résumé

This book collects some of the most interesting recent writings that are tackling, from various points of view, the problem of giving an accounting of the nature, purpose, and justification of real mathematical practice--mathematics as actually done by real live mathematicians. What is the nature of the objects being studied? What determines the directions and styles in which mathematics progresses (or, perhaps, degenerates)? What certifies its claim to certainty, or to a priori status, to independence of experience? Why is mathematics the same for all times and places, or is it really the same, or in what senses is it the same and in what senses different? Many of these writings were read at conferences in Europe and America under the heading of "history" or "cultural studies" as well as "philosophy." It is the editor's hope to help foster healthy interdisciplinary mutual aid in this young and fertile area.

Written for: Everyone interested in philosophy of science, from professional mathematicians to general readers

L'auteur - Reuben Hersh

Reuben Hersh is professor emeritus at the University of New Mexico, Albuquerque. He is the recipient (with Martin Davis) of the Chauvenet Prize and (with Edgar Lorch) the Ford Prize. Hersh is the author (with Philip J. Davis) of The Mathematical Experience and Descartes' Dream, which won the National Book Award in l983, and What is Mathematics, Really?

Sommaire

A Socratic Dialogue on Mathematics
"Introduction" to Filosofia e matematica
On Proof and Progress in Mathematics
The Informal Logic of Mathematical Proof
Philosophical Problems of Mathematics in the Light of Evolutionary Epistemology
Towards a Semiotics of Mathematics
Computers and the Sociology of Mathematical Proof
From GHH and Littlewood to XML and Maple: Changing Needs and Expectations in Mathematical Knowledge Management
Do Real Numbers Really Move? Language, Thought, and Gesture: The Embodied Cognitive Foundations of Mathematics
Does Mathematics Need a Philosophy?
How and Why Mathematics Is Unique as a Social Practice
The Pernicious Influence of Mathematics upon Philosophy
The Pernicious Influence of Mathematics on Science
What Is Philosophy of Mathematics Looking for?
Concepts and the Mangle of Practice Constructing Quaternions
Mathematics as Objective Knowledge and as Human Practice
The Locus of Mathematical Reality: An Anthropological Footnote
Inner Vision, Outer Truth

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Reuben Hersh
Parution	04/11/2005
Nb. de pages	330
Format	15,5 x 23,5
Couverture	Broché
Poids	505g
Intérieur	Noir et Blanc
EAN13	9780387257174
ISBN13	978-0-387-25717-4