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The Mathematics of Plato's Academy: A New Reconstruction

The Mathematics of Plato's Academy: A New Reconstruction


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About the Book

Ancient sources tell us of Plato's zeal for mathematics, but the problem of interpreting many of the mathematical references in his Dialogues has perplexed later commentators. Part One of this book presents several new interpretations of the ideas of ratio in early Greek mathematics, and illustrates them in detailed discussions of several texts. Principally, it looks at the advanced mathematics curriculum described by Plato in Republic VII as part of the training of future guardians of the state, at early Greek and Egyptian calendars, at Euclid's Elements, and at the Sectio Canonis . Part Two discusses three questions: Just what do we know of Plato's Academy during his lifetime? From where do we get our text of Euclid's Elements ? What do we know of early Greek numerical practice? Part Three contrasts some of the evidence from early and late antiquity and then gives a historical account, starting in the seventeenth century, of the theory of continued fractions - today's version of the mathematics underlying the reconstruction. Full indexes and bibliography complete the book. This is a bok for mathematicians; historians of mathematics; classicists; and papyrologists.

Table of Contents:
Part One: INTERPRETATIONS The proposal; Anthyphairetic ratio theory; Elements II: The dimension of squares; Plato's mathematics curriculum in Republic VII; Elements IV, X, and XIII: The circumdiameter and side. Part Two: EVIDENCE The nature of our evidence; Numbers and fractions Part Three: LATER DEVELOPMENTS Later interpretations; Continued fractions


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Product Details
  • ISBN-13: 9780198539124
  • Publisher: Oxford University Press
  • Publisher Imprint: Clarendon Press
  • Height: 230 mm
  • Returnable: N
  • Weight: 798 gr
  • ISBN-10: 0198539126
  • Publisher Date: 03 Dec 1987
  • Binding: Paperback
  • Language: English
  • Sub Title: A New Reconstruction
  • Width: 150 mm


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