The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History / Edition 1

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Overview

The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: first as a description of the practices of Greek mathematics; second as a theory of the emergence of the deductive method; and third as a case-study for a general view on the history of science.
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Editorial Reviews

From the Publisher
"Reviel Netz has written a stimulating book about diagrams and mathematics, telling us facts that we all know, but hardly ever thought of." MAA Online

"...a novel work...Greek intellectual culture will be of interest to many classicists...Netz has made an important contribution to intellectual history and has asked a diverse set of questions whose answers, while difficult, will broaden our understanding of the development of deductive practices." Daryn Lehoux, University of Toronto

"Netz's book has made this reviewer look at Greek mathematics with new eyes, and it will certainly provoke further thought and discussion. Netz is to be thanked for a stimulating contribution to an important topic." Isis

"It's a first-contribution to intellectual history... also an enjoyable book....The Shaping of Deduction in Greek Mathematics will be of interest, not just to historians of mathematics, but to mathematicians and philosophers seeking to understand the aims and achievements of mathematics today." Philosophia Mathematica

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Product Details

  • ISBN-13: 9780521541206
  • Publisher: Cambridge University Press
  • Publication date: 9/18/2003
  • Series: Ideas in Context Series , #51
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 327
  • Sales rank: 1,305,336
  • Product dimensions: 5.98 (w) x 9.02 (h) x 0.79 (d)

Table of Contents

Preface
List of abbreviations
The Greek alphabet
Note on the figures
Introduction 1
A specimen of Greek mathematics 9
1 The lettered diagram 12
2 The pragmatics of letters 68
3 The mathematical lexicon 89
4 Formulae 127
5 The shaping of necessity 168
6 The shaping of generality 240
7 The historical setting 271
App The main Greek mathematicians cited in the book 313
Bibliography 316
Index 323
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