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

(Ideas in Context)
Reviel Netz

Cambridge University Press | 2003 | 352 páginas | pdf | 1,1 Mb

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Descrição: This book provides a way to understand a momentous development in human intellectual history: the phenomenon of deductive argument in classical Greek mathematics. The argument rests on a close description of the practices of Greek mathematics, principally the use of lettered diagrams and the regulated, formulaic use of language.

Índice:
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