Plato and Pythagoreanism

Plato and Pythagoreanism PDF

Author: Phillip Sidney Horky

Publisher: Oxford University Press

Published: 2016

Total Pages: 328

ISBN-13: 0190465700

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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.

How Plato and Pythagoras Can Save Your Life

How Plato and Pythagoras Can Save Your Life PDF

Author: Nicholas Kardaras

Publisher: Conari Press

Published: 2011-04-01

Total Pages: 258

ISBN-13: 1573244759

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University professor, psychotherapist and recovering former nightclub owner Dr. Nicholas Kardaras presents a mind blowing, reality rocking, and life changing approach to Greek philosophy. Having once owned celebrity-studded NY nightclubs where he had mingled with the likes of JFK, Jr., Uma Thurman and Tom Cruise, Kardaras would emerge from that glamorous-yet-self-destructive world to discover the powerful and transformative teachings of his ancient ancestors. To his amazement, he learned that ancient Greek philosophy, contrary to popular misconceptions, was not a dry and academic pursuit, but a vibrant and holistic transformative practice. In How Plato and Pythagoras Can Save You're your Life, Dr. Kardaras breathes new life into those ancient teachings as he incorporates some of the most cutting edge advances in the fields of quantum mechanics and consciousness research to validate the insights and wisdom of the ancient Greek sages. As he guides readers through an array of contemplative practices designed to help them live a more meaningful life, Kardaras warns the reader to be prepared because they just might also "catch a glimpse of that trippy realm called Ultimate Reality".

The Theology of Arithmetic

The Theology of Arithmetic PDF

Author: Iamblichus

Publisher: Red Wheel/Weiser

Published: 1988-01-01

Total Pages: 140

ISBN-13: 9780933999725

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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.

The Beautiful Shape of the Good

The Beautiful Shape of the Good PDF

Author: Mihaela C. Fistioc

Publisher: Psychology Press

Published: 2002

Total Pages: 190

ISBN-13: 9780415938693

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First Published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

The Metaphysics of the Pythagorean Theorem

The Metaphysics of the Pythagorean Theorem PDF

Author: Robert Hahn

Publisher: State University of New York Press

Published: 2017-05-01

Total Pages: 301

ISBN-13: 1438464916

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Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and back into which they return upon dissolution. He held that all appearances are only alterations of this basic unity and there can be no change in the cosmos. Such an account requires some fundamental geometric figure out of which appearances are structured. Robert Hahn argues that Thales came to the conclusion that it was the right triangle: by recombination and repackaging, all alterations can be explained from that figure. This idea is central to what the discovery of the Pythagorean theorem could have meant to Thales and Pythagoras in the sixth century BCE. With more than two hundred illustrations and figures, Hahn provides a series of geometric proofs for this lost narrative, tracing it from Thales to Pythagoras and the Pythagoreans who followed, and then finally to Plato's Timaeus. Uncovering the philosophical motivation behind the discovery of the theorem, Hahn's book will enrich the study of ancient philosophy and mathematics alike.

Pythagoras and the Pythagoreans

Pythagoras and the Pythagoreans PDF

Author: Charles H. Kahn

Publisher: Hackett Publishing

Published: 2001-09-30

Total Pages: 209

ISBN-13: 1603846824

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A fascinating portrait of the Pythagorean tradition, including a substantial account of the Neo-Pythagorean revival, and ending with Johannes Kepler on the threshold of modernism.

Pythagorean Women

Pythagorean Women PDF

Author: Sarah B. Pomeroy

Publisher: JHU Press

Published: 2013-09

Total Pages: 197

ISBN-13: 1421409569

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Cover -- Contents -- Acknowledgments -- Note on Abbreviations -- Chronology -- Introduction -- 1 Who Were the Pythagorean Women? -- 2 Wives, Mothers, Sisters, Daughters -- 3 Who Were the Neopythagorean Women Authors? -- 4 Introduction to the Prose Writings of Neopythagorean Women -- 5 The Letters and Treatises of Neopythagorean Women in the East -- 6 The Letters and Treatises of Neopythagorean Women in the West -- 7 The Neopythagorean Women as Philosophers -- Notes -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- R -- S -- T -- V -- W -- X -- Z.

The Musical Structure of Plato's Dialogues

The Musical Structure of Plato's Dialogues PDF

Author: J.B. Kennedy

Publisher: Routledge

Published: 2014-09-19

Total Pages: 306

ISBN-13: 1317547977

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J. B. Kennedy argues that Plato's dialogues have an unsuspected musical structure and use symbols to encode Pythagorean doctrines. The followers of Pythagoras famously thought that the cosmos had a hidden musical structure and that wise philosophers would be able to hear this harmony of the spheres. Kennedy shows that Plato gave his dialogues a similar, hidden musical structure. He divided each dialogue into twelve parts and inserted symbols at each twelfth to mark a musical note. These passages are relatively harmonious or dissonant, and so traverse the ups and downs of a known musical scale. Many of Plato's ancient followers insisted that Plato used symbols to conceal his own views within the dialogues, but modern scholars have denied this. Kennedy, an expert in Pythagorean mathematics and music theory, now shows that Plato's dialogues do contain a system of symbols. Scholars in the humanities, without knowledge of obsolete Greek mathematics, would not have been able to detect these musical patterns. This book begins with a concise and accessible introduction to Plato's symbolic schemes and the role of allegory in ancient times. The following chapters then annotate the musical symbols in two of Plato's most popular dialogues, the Symposium and Euthyphro, and show that Plato used the musical scale as an outline for structuring his narratives.