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

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  • Date Published: January 2005
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511035296

$ 76.00 USD ( )
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About the Authors
  • 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.

    • Brilliant investigation of a crucial and unexplored process
    • As interesting for students of cognitive science as for those of Greek mathematics
    • Should become the classic and definitive treatment of this phenomenon
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    Awards

    • Winner of the Runciman Award 2000

    Reviews & endorsements

    "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

    • Date Published: January 2005
    • format: Adobe eBook Reader
    • isbn: 9780511035296
    • contains: 2 tables
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Introduction: a specimen of Greek mathematics
    1. The lettered diagram
    2. The pragmatics of letters
    3. The mathematical lexicon
    4. Formulae
    5. The shaping of necessity
    6. The shaping of generality
    7. The historical setting
    Appendix: the main Greek mathematicians cited in the book.

  • Author

    Reviel Netz, Stanford University, California

    Awards

    • Winner of the Runciman Award 2000

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