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The Mathematics Of Platos Academy
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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 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.
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 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.
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.
Book Synopsis The Theology of Arithmetic by : Iamblichus
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.
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.
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 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Academy was a philosophical school established by Plato that safeguarded the continuity and the evolution of Platonism over a period of about 300 years. Its contribution to the development of Hellenistic philosophical and scientific thinking was decisive, but it also had a major impact on the formation of most of the other philosophical trends emerging during this period. This volume surveys the evidence for the historical and social setting in which the Academy operated, as well as the various shifts in the philosophical outlook of Platonism during its existence. Its contribution to the evolution of special sciences such as mathematics is also examined. The book further includes the first complete annotated translation in English of Philodemus' History of the Academy, preserved on a papyrus from Herculaneum. It thus offers a comprehensive picture of one of the most prominent and influential of all educational institutions in ancient Greece.
Book Synopsis Explorations in Ancient and Modern Philosophy by : M. F. Burnyeat
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.
Download or read book Plato written by Julia Annas and published by Sterling Publishing Company, Inc.. This book was released on 2009 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Julia Annas provides an incisive exploration of the many-sided and elusive genius whose wide-ranging, bold, and influential ideas continue to challenge, provoke, and inspire us today"--Page 4 of cover.
Book Synopsis The Pythagorean Sourcebook and Library by : Kenneth Sylvan Guthrie
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.
Download or read book The Great Philosopher written by Mary Gow and published by Enslow Publishing, LLC. This book was released on 2010-07-01 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Follows the life and teachings of the philosopher Plato, one of the world's greatest thinkers, who in his writings taught us to question what we think we know.
Book Synopsis A History of Greek Mathematics by : Thomas Little Heath
Download or read book A History of Greek Mathematics written by 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: I. From Thales to Euclid.--II. From Aristarchus to Diophantus.
Book Synopsis The Origins of the Platonic Academy of Florence by : Arthur M. Field
Download or read book The Origins of the Platonic Academy of Florence written by Arthur M. Field and published by Princeton University Press. This book was released on 2014-07-14 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Founded by Cosimo de' Medici in the early 1460s, the Platonic Academy shaped the literary and artistic culture of Florence in the later Renaissance and influenced science, religion, art, and literature throughout Europe in the early modern period. This major study of the Academy's beginnings presents a fresh view of the intellectual and cultural life of Florence from the Peace of Lodi of 1454 to the death of Cosimo a decade later. Challenging commonly held assumptions about the period, Arthur Field insists that the Academy was not a hothouse plant, grown and kept alive by the Medici in the splendid isolation of their villas and courts. Rather, Florentine intellectuals seized on the Platonic truths and propagated them in the heart of Florence, creating for the Medici and other Florentines a new ideology. Based largely on new or neglected manuscript sources, this book includes discussions of the earliest works by the head of the Academy, Marsilio Ficino, and the first public, Platonizing lectures of the humanist and poet Cristoforo Landino. The author also examines the contributions both of religious orders and of the Byzantines to the Neoplatonic revival. Originally published in 1988. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Reader's Guide to the History of Science by : Arne Hessenbruch
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.
Book Synopsis Plato and Pythagoreanism by : Phillip Sidney Horky
Download or read book Plato and Pythagoreanism written by Phillip Sidney Horky and published by Oxford University Press. This book was released on 2016 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Was Plato a Pythagorean? Plato's students and earliest critics thought so, but scholars since the nineteenth century have been more skeptical. With this probing study, Phillip Sidney Horky argues that a specific type of Pythagorean philosophy, called mathematical Pythagoreanism, exercised a decisive influence on fundamental aspects of Plato's philosophy. The progenitor of mathematical Pythagoreanism was the infamous Pythagorean heretic and political revolutionary Hippasus of Metapontum, a student of Pythagoras who is credited with experiments in harmonics that led to innovations in mathematics. The innovations of Hippasus and other mathematical Pythagoreans, including Empedocles of Agrigentum, Epicharmus of Syracuse, Philolaus of Croton, and Archytas of Tarentum, presented philosophers like Plato with novel ways to reconcile empirical knowledge with abstract mathematical theories. Plato and Pythagoreanism demonstrates how mathematical Pythagoreanism established many of the fundamental philosophical questions Plato dealt with in his central dialogues, including Cratylus, Phaedo, Republic, Timaeus, and Philebus. In the process, it also illuminates the historical significance of the mathematical Pythagoreans, a group whose influence on the development of philosophical and scientific methods has been obscured since late antiquity. The picture that results is one in which Plato inherits mathematical Pythagorean method only to transform it into a powerful philosophical argument about the essential relationships between the cosmos and the human being.
Book Synopsis The Parthenon and Liberal Education by : Geoff Lehman
Download or read book The Parthenon and Liberal Education written by Geoff Lehman and published by SUNY Press. This book was released on 2018-03-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the importance of the early history of Greek mathematics to education and civic life through a study of the Parthenon and dialogues of Plato.
Book Synopsis Thinking about Mathematics by : Stewart Shapiro
Download or read book Thinking about Mathematics written by Stewart Shapiro and published by OUP Oxford. This book was released on 2000-07-13 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.
Book Synopsis The King of Infinite Space by : David Berlinski
Download or read book The King of Infinite Space written by David Berlinski and published by Basic Books. This book was released on 2014-04-08 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid's axiomatic system, a method of proof still taught in classrooms around the world. Euclid's use of elemental logic—and the mathematical statements he and others built from it—have dramatically expanded the frontiers of human knowledge. The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.
