The shaping of deduction in Greek mathematics
להגדלת הטקסט להקטנת הטקסט- ספר
The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.
כותר |
The shaping of deduction in Greek mathematics : a study in cognitive history / Reviel Netz. [electronic resource] |
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מהדורה |
1st ed. |
מוציא לאור |
Cambridge : Cambridge University Press |
שנה |
1999 |
הערות |
Title from publisher's bibliographic system (viewed on 05 Oct 2015). Includes bibliographical references (p. 316-322) and index. English |
הערת תוכן ותקציר |
Preliminaries Contents Preface Abbreviations The Greek alphabet Note on the figures Introduction A specimen of Greek mathematics CHAPTER 1 The lettered diagram CHAPTER 2 The pragmatics of letters CHAPTER 3 The mathematical lexicon CHAPTER 4 Formulae CHAPTER 5 The shaping of necessity CHAPTER 6 The shaping of generality CHAPTER 7 The historical setting APPENDIX The main Greek mathematicians cited in the book Bibliography Index Ideas in Context |
סדרה |
Ideas in context 51 |
היקף החומר |
1 online resource (xvii, 327 pages) : digital, PDF file(s). |
שפה |
אנגלית |
מספר מערכת |
997010702870905171 |
תצוגת MARC
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