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The Metaphysics of the Pythagorean Theorem

The Metaphysics of the Pythagorean Theorem
Author: Robert Hahn
Publisher: State University of New York Press
Total Pages: 301
Release: 2017-05-01
Genre: Philosophy
ISBN: 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.


On Pythagoreanism

On Pythagoreanism
Author: Gabriele Cornelli
Publisher: Walter de Gruyter
Total Pages: 552
Release: 2013-10-29
Genre: Philosophy
ISBN: 3110318504

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The purpose of the conference “On Pythagoreanism”, held in Brasilia in 2011, was to bring together leading scholars from all over the world to define the status quaestionis for the ever-increasing interest and research on Pythagoreanism in the 21st century. The papers included in this volume exemplify the variety of topics and approaches now being used to understand the polyhedral image of one of the most fascinating and long-lasting intellectual phenomena in Western history. Cornelli’s paper opens the volume by charting the course of Pythagorean studies over the past two centuries. The remaining contributions range chronologically from Pythagoras and the early Pythagoreans of the archaic period (6th-5th centuries BCE) through the classical, hellenistic and late antique periods, to the eighteenth century. Thematically they treat the connections of Pythagoreanism with Orphism and religion, with mathematics, metaphysics and epistemology and with politics and the Pythagorean way of life.


Pythagoras

Pythagoras
Author: Kitty Ferguson
Publisher: Icon Books Ltd
Total Pages: 286
Release: 2011-03-03
Genre: Mathematics
ISBN: 1848312504

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This is the story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy and the arts. Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.


The Pythagorean Theorem

The Pythagorean Theorem
Author: Eli Maor
Publisher: Princeton University Press
Total Pages: 296
Release: 2019-11-19
Genre: Mathematics
ISBN: 0691199493

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An exploration of one of the most celebrated and well-known theorems in mathematics By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.


The Pythagorean Triangle

The Pythagorean Triangle
Author: Rev George Oliver
Publisher: Literary Licensing, LLC
Total Pages: 240
Release: 2014-03
Genre:
ISBN: 9781497874381

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This Is A New Release Of The Original 1922 Edition.


Pythagoras Revived

Pythagoras Revived
Author: Dominic J. O'Meara
Publisher: Oxford University Press
Total Pages: 268
Release: 1989
Genre: Philosophy
ISBN: 9780198239130

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The Pythagorean idea that number is the key to understanding reality inspired Neoplatonist philosophers in the fourth and fifth centuries to develop theories in physics and metaphysics based on mathematical models. The theories produced by this revived interest in Pythagoreanism were to becomeinfluential in medieval and early modern philosophy, and this book makes use of some newly-discovered evidence to examine for the first time the development of those theories.


Pythagoras

Pythagoras
Author: Alicia Klepeis
Publisher: Mitchell Lane
Total Pages: 67
Release: 2019-09-04
Genre: Juvenile Nonfiction
ISBN: 1545746095

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Mathematician. Philosopher. World traveler. Pythagoras was an intellgient and curious scholar and teacher. While he’s best known for the Pythagorrean theorem, he shared ideas about numbers, animals and many other areas of knwoledge with his students. Since none of his writingers were left behind, it’s not always easy for historians to know what’s true about Pythagoras and what may be legendary. What does seem apparent is that he was a vegetarian but not a trendy dresser. Some people saw him as godlike. Others felt he made false claims about things. No matter what, Pythagoras’s curiosity and willinngness to grapplw with complex issues have helped further the knowledge of mathemativs and philosophy for thousands of years.


Golden Verses of Pythagoras

Golden Verses of Pythagoras
Author: Pythagoras
Publisher:
Total Pages: 99
Release: 1998-10-01
Genre:
ISBN: 9781858102382

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Pythagoras, the Master

Pythagoras, the Master
Author: Carol Dunn
Publisher:
Total Pages: 146
Release: 2018
Genre: Philosophers
ISBN: 9781584209492

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Pythagoras was one of the great geniuses of the West and yet, apart from his famous Pythagorean theorem, he is virtually unknown. If we rely on modern scholars and academics we find that his long-forgotten legacy is misunderstood and even distorted, and is therefore almost nonexistent. This new and provocative work from Carol Dunn (author of Plato's Dialogues: Path to Initiation) accomplishes two main objectives. First, it shows that the early pioneers of modern physics, mainly Newton and Kepler, scientifically and mathematically confirm Pythagoras' discoveries of the sixth century bc--the heliocentric theory of our cosmos and the parallel theory regarding the Harmony of the Spheres. These are discoveries for which Pythagoras has received scant recognition by the Western philosophical tradition. Second, the author argues against the proposition that the heliocentric theory was initiated not by Pythagoras but instead by his student Philolaus, who lived in the fifth century bc, and whose astronomical theory, according to Dunn, is not based on science. Pythagoras, the Master is well researched and accessible, offering readers a firm basis to reexamine the importance of Pythagoras' work and whether he or Philolaus discovered these paradigm-changing astronomical theories two thousand years before Western science rediscovered them in the seventeenth century.