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The Mathematics of Plato's Academy

1999 Mathematics
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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 586/5 ( reviews)

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Book Synopsis The Mathematics of Plato's Academy by : D. H. Fowler

Download or read book The Mathematics of Plato's Academy written by D. H. Fowler. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This is an updated edition of a groundbreaking examination of early Greek mathematics. The author has revised parts of the text, updated the bibliography, and added a new Appendix where he takes a strong position in the continuing debate about the nature and range of classical mathematics. The first part presents several new interpretations of the idea of ratio in early Greek mathematics and illustrates these in detailed discussions of several texts. Part Two then focuses on the sources themselves and provides a critical look at our knowledge of Plato's Academy during his lifetime, at the source of our text of Euclid's Elements, and at our understanding of early Greek mathematics. The final part contrasts some of the evidence from early and late antiquity and then gives a historical account, beginning in the seventeenth century, of the modern theory of continued fractions, which underlies our reconstruction of early Greek mathematics.

The Mathematics of Plato's Academy

1987 History
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Release : 1987
Genre : History
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis The Mathematics of Plato's Academy by : D. H. Fowler

Download or read book The Mathematics of Plato's Academy written by D. H. Fowler. This book was released on 1987. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a reinterpretation of early Greek mathematics, one of the most tantalizing intellectual subjects of the last 2,000 years. The first part offers several new interpretations of the idea of ratio in early Greek mathematics and illustrates them in detailed discussion of several texts. Part Two discusses the historical context of the subject--what we know of Plato's academy during his lifetime, the origin of our text of Euclid's Elements, and what we know of early Greek numerical practice. The book finishes with an account of the theory of continued fractions and its history since the 17th century.

Plato's Academy

2020-03-12 History
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Release : 2020-03-12
Genre : History
Kind : eBook
Book Rating : 441/5 ( reviews)

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Book Synopsis Plato's Academy by : Paul Kalligas

Download or read book Plato's Academy written by Paul Kalligas. This book was released on 2020-03-12. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, interdisciplinary history of Plato's Academy, the most prominent philosophical school in antiquity, which lasted for about 300 years. Also includes the first complete annotated translation in English of Philodemus' History of the Academy, preserved on a papyrus from Herculaneum.

The Heirs of Plato

2003-01-30 Philosophy
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Release : 2003-01-30
Genre : Philosophy
Kind : eBook
Book Rating : 251/5 ( reviews)

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Book Synopsis The Heirs of Plato by : John Dillon

Download or read book The Heirs of Plato written by John Dillon. This book was released on 2003-01-30. Available in PDF, EPUB and Kindle. Book excerpt: The Heirs of Plato is the first book exclusively devoted to an in-depth study of the various directions in philosophy taken by Plato's followers in the first seventy years or so following his death in 347 BC. - the period generally known as 'The Old Academy'. Speusippus, Xenocrates, and Polemon, the three successive heads of the Academy in this period, though personally devoted to the memory of Plato, were independent philosophers in their own right, and felt free to develop his heritage in individual directions. This is also true of other personalities attached to the school, such as Philippus of Opus, Heraclides of Pontus, and Crantor of Soli. After an introductory chapter on the school itself, and a summary of Plato's philosophical heritage, John Dillon devotes a chapter to each of the school heads, and another to the other chief characters, exploring both what holds them together and what sets them apart. There is a final short chapter devoted to the turn away from dogmatism to scepticism under Arcesilaus in the 270s, and some reflections on the intellectual debt of Stoicism to the thought of Polemon, in particular. Dillon's clear and accessible book fills a significant gap in our understanding of Plato's immediate philosophical influence, and will be of great value to scholars and historians of ancient philosophy.

The Theology of Arithmetic

1988-01-01 Philosophy
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Release : 1988-01-01
Genre : Philosophy
Kind : eBook
Book Rating : 725/5 ( reviews)

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Book Synopsis The Theology of Arithmetic by : Iamblichus

Download or read book The Theology of Arithmetic written by Iamblichus. This book was released on 1988-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Attributed to Iamblichus (4th cent. AD), The Theology of Arithmetic is about the mystical, mathmatical and cosmological symbolism of the first ten numbers. Its is the longest work on number symbolism to survive from the ancient world, and Robin Waterfield's careful translation contains helpful footnotes, an extensive glossary, bibliography, and foreword by Keith Critchlow. Never before translated from ancient Greek, this important sourcework is indispensable for anyone intereted in Pythagorean though, Neoplatonism, or the symbolism of Numbers.

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