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18 unconventional essays on the nature of mathematics

Author: Reuben Hersh
Publisher: New York : Springer, ©2006.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Springer e-books
Database:WorldCat
Summary:
"This new collection of essays edited by Reuben Hersh contains frank facts and opinions from leading mathematicians, philosophers, sociologists, cognitive scientists, and even an anthropologist. Each essay provides a challenging and thought-provoking look at recent advances in the philosophy of mathematics, demonstrating the possibilities of thinking fresh, sticking close to actual practice, and fearlessly letting  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
18 unconventional essays on the nature of mathematics.
New York : Springer, ©2006
(DLC) 2005925514
(OCoLC)62273823
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Reuben Hersh
ISBN: 9780387257174 0387257179 0387298312 9780387298313
OCLC Number: 65195336
Description: 1 online resource (xxi, 326 pages) : illustrations
Contents: A Socratic dialogue on mathematics / Alfréde Rényi --
"Introduction" to Filosofia e matematica / Carlo Cellucci --
On proof and progress in mathematics / William P. Thurston --
The informal logic of mathematical proof / Andrew Aberdein --
Philosophical problems of mathematics in the light of evolutionary epistemology / Yehuda Rav --
Towards a semiotics of mathematics / Brian Rotman --
Computers and the sociology of mathematical proof / Donald MacKenzie --
From G.H.H. and Littlewood to XML and Maple: changing needs and expectations in mathematical knowledge management / Terry Stanway --
Do real numbers really move? Language, thought, and gesture: the embodied cognitive foundations of mathematics / Rafael Núñez --
Does mathematics need a philosophy? / William Timothy Gowers --
How and why mathematics is unique as a social practice / Jody Azzouni --
The pernicious influence of mathematics upon philosophy / Gian-Carlo Rota --
The pernicious influence of mathematics on science / Jack Schwartz --
What is philosophy of mathematics looking for? / Alfonso C. Ávila del Palacio --
Concepts and the mangle of practice constructing quaternions / Andrew Pickering --
Mathematics as objective knowledge and as human practice / Eduard Glas --
The locus of mathematical reality: an anthropological footnote / Leslie A. White --
Inner vision, outer truth / Reuben Hersh.
Other Titles: Eighteen unconventional essays on the nature of mathematics
Responsibility: Reuben Hersh, editor.
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Abstract:

Includes writings that tackle the problem of giving an account of the nature, purpose, and justification of mathematics as actually done by real live mathematicians. This book is suitable for  Read more...

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From the reviews: "This is not a book about foundations or formal logic. It is ... about the philosophy of mathematics, but perhaps more about the human practice of mathematics. ... This is a Read more...

 
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