The Mathematics Of Platos Academy

Author : D. H. Fowler
Publisher :
ISBN 13 : 9780198502586
Total Pages : 490 pages
Book Rating : 4.83/5 ( download)

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Download or read book The Mathematics of Plato's Academy written by D. H. Fowler and published by . This book was released on 1999 with total page 490 pages. 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.

Author : D. H. Fowler
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.90/5 ( download)

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Download or read book The Mathematics of Plato's Academy written by D. H. Fowler and published by Oxford University Press, USA. This book was released on 1987 with total page 442 pages. 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.

Author : Paul Kalligas
Publisher : Cambridge University Press
ISBN 13 : 1108426441
Total Pages : 447 pages
Book Rating : 4.42/5 ( download)

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Download or read book Plato's Academy written by Paul Kalligas and published by Cambridge University Press. This book was released on 2020-03-12 with total page 447 pages. 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.

Author : John Dillon
Publisher : Clarendon Press
ISBN 13 : 9780191519253
Total Pages : 262 pages
Book Rating : 4.51/5 ( download)

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Download or read book The Heirs of Plato written by John Dillon and published by Clarendon Press. This book was released on 2003-01-30 with total page 262 pages. 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.

Author : Iamblichus
Publisher : Red Wheel/Weiser
ISBN 13 : 9780933999725
Total Pages : 140 pages
Book Rating : 4.20/5 ( download)

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Download or read book The Theology of Arithmetic written by Iamblichus and published by Red Wheel/Weiser. This book was released on 1988-01-01 with total page 140 pages. 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.

Author : M. F. Burnyeat
Publisher : Cambridge University Press
ISBN 13 : 0521750725
Total Pages : 393 pages
Book Rating : 4.21/5 ( download)

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Download or read book Explorations in Ancient and Modern Philosophy written by M. F. Burnyeat and published by Cambridge University Press. This book was released on 2012-06-14 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.

Author : Kenneth Sylvan Guthrie
Publisher : Red Wheel/Weiser
ISBN 13 : 1609253949
Total Pages : 374 pages
Book Rating : 4.43/5 ( download)

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Download or read book The Pythagorean Sourcebook and Library written by Kenneth Sylvan Guthrie and published by Red Wheel/Weiser. This book was released on 1987-07-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology, the largest collection of Pythagorean writings ever to appear in English, contains the four ancient biographies of Pythagoras and over 25 Pythagorean and Neopythagorean writings from the Classical and Hellenistic periods. The material of this book is indispensable for anyone who wishes to understand the real spiritual roots of Western civilization.

Author : Sir Thomas Little Heath
Publisher :
ISBN 13 :
Total Pages : 470 pages
Book Rating : 4.74/5 ( download)

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Download or read book A History of Greek Mathematics written by Sir Thomas Little Heath and published by . This book was released on 1921 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Arne Hessenbruch
Publisher : Taylor & Francis
ISBN 13 : 9781884964299
Total Pages : 986 pages
Book Rating : 4.9X/5 ( download)

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Download or read book Reader's Guide to the History of Science written by Arne Hessenbruch and published by Taylor & Francis. This book was released on 2000 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.

Author : Julia Annas
Publisher : OUP Oxford
ISBN 13 : 019157922X
Total Pages : 128 pages
Book Rating : 4.26/5 ( download)

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Download or read book Plato: A Very Short Introduction written by Julia Annas and published by OUP Oxford. This book was released on 2003-02-13 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively and accessible introduction to Plato focuses on the philosophy and argument of his writings, drawing the reader into Plato's way of doing philosophy, and the general themes of his thinking. This is not a book to leave the reader standing in the outer court of introduction and background information, but leads directly into Plato's argument. It looks at Plato as a thinker grappling with philosophical problems in a variety of ways, rather than a philosopher with a fully worked-out system. It includes a brief account of Plato's life and the various interpretations that have been drawn from the sparse remains of information. It stresses the importance of the founding of the Academy and the conception of philosophy as a subject. Julia Annas discusses Plato's style of writing: his use of the dialogue form, his use of what we today call fiction, and his philosophical transformation of myths. She also looks at his discussions of love and philosophy, his attitude to women, and to homosexual love, explores Plato's claim that virtue is sufficient for happiness, and touches on his arguments for the immortality of the soul and his ideas about the nature of the universe. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.