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.
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.
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 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 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 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:
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.
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 193 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.
Download or read book Plato s Critique of Impure Reason written by D. C. Schindler and published by CUA Press. This book was released on 2008 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's Critique of Impure Reason offers a dramatic interpretation of the Republic, at the center of which lies a novel reading of the historical person of Socrates as the "real image" of the good
Download or read book Plato s Academy written by Aristophron and published by . This book was released on 1934 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plato s Meno written by Cristina Ionescu and published by Lexington Books. This book was released on 2007 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's Meno: An Interpretation/is a comprehensive study of the transitional dialogue dedicated to the investigation of virtue. Cristina Ionescu analyzes with approximately equal emphasis both the dramatic details and the logic of the arguments. By focusing on the interrelated themes that run through the text, Ionescu provides a comprehensive overview of the dialogue and a refreshing update of its argument. The theme of the Meno is the investigation of virtue with regard to both its essence and our possibility of acquiring it, whether we acquire virtue by nature, teaching, practice, or in some other way. As the nature of the theoretical investigation itself is made into a direct concern of the dialogue, and since the essence of virtue is closely associated with knowledge, the dialogue has both a moral and an epistemological dimension. The interwoven treatment of virtue and knowledge throughout the Meno enlarges the scope of interest to cover also several related themes: the immortality of the soul, the relationship between craft-like expertise and moral wisdom, the relationship between divine inspiration and virtue, the contrast between dialectical conversations and eristic disputes, and the importance of following appropriate methods in philosophical investigations. By examining these related ideas with clarity, Ionescu provides an invaluable guide to the dialogue. Plato's Meno: An Interpretation is an excellent book for readers of Plato at all levels: undergraduates, graduates, and specialists.
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.
Download or read book Restoring the Soul of the World written by David Fideler and published by Simon and Schuster. This book was released on 2014-11-20 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Humanity’s creative role within the living pattern of nature • Explores important scientific discoveries that reveal the self-organizing intelligence at the heart of nature • Examines the idea of a living cosmos from its roots in the earliest cultures, to its eclipse during the Scientific Revolution, to its return today • Reveals ways to reengage our creative partnership with nature and collaborate with nature’s intelligence For millennia the world was seen as a creative, interconnected web of life, constantly growing, developing, and restoring itself. But with the arrival of the Scientific Revolution in the 16th and 17th centuries, the world was viewed as a lifeless, clocklike mechanism, bound by the laws of classical physics. Intelligence was a trait ascribed solely to human beings, and thus humanity was viewed as superior to and separate from nature. Today new scientific discoveries are reviving the ancient philosophy of a living, interconnected cosmos, and humanity is learning from and collaborating with nature’s intelligence in new, life-enhancing ways, from ecological design to biomimicry. Drawing upon the most important scientific discoveries of recent times, David Fideler explores the self-organizing intelligence at the heart of nature and humanity’s place in the cosmic pattern. He examines the ancient vision of the living cosmos from its roots in the “world soul” of the Greeks and the alchemical tradition, to its eclipse during the Scientific Revolution, to its return today. He explains how the mechanistic worldview led to humanity’s profound sense of alienation, for if the universe only functioned as a machine, there was no longer any room for genuine creativity or spontaneity. He shows how this isn’t the case and how, even at the molecular level, natural systems engage in self-organization, self-preservation, and creative problem solving, mirroring the ancient idea of a creative intelligence that exists deep within the heart of nature. Revealing new connections between science, religion, and culture, Fideler explores how to reengage our creative partnership with nature and new ways to collaborate with nature’s intelligence.
Download or read book Mathematics for the Nonmathematician written by Morris Kline and published by Courier Corporation. This book was released on 2013-04-15 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
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 later scholars have been more skeptical. Plato and Pythagoreanism reconsiders this question by arguing that a specific type of Pythagorean philosophy, called "mathematical" Pythagoreanism, played a profound role in Plato's philosophy.
Download or read book All Things Natural written by Marsilio Ficino and published by Shepheard-Walwyn. This book was released on 2010-08-01 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marsilio Ficino, a leading scholar of the Italian Renaissance who translated all the works of Plato into Latin, examines Plato’s Timaeus, the most widely influential and hotly debated of the Platonic writings. Offering a probable account of the creation and nature of the cosmos, the discussion incorporates such questions as What is the function of arithmetic and geometry in the design of creation? What is the nature of mind, soul, matter, and time? and What is our place in the universe? To his main commentary Ficino adds an appendix, which amplifies and elucidates Plato’s meanings and reveals fascinating details about Ficino himself.
