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Author: Alberto A. Martinez
Publisher:
ISBN: 9780822962700
Category : Mathematics
Languages : en
Pages : 264
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Book Description
Martínez discusses various popular myths from the history of mathematics. Some stories are partly true, others are entirely false, but all show the power of invention in history. Martínez inspects a wealth of primary sources, in several languages, over a span of many centuries. By exploring disagreements and ambiguities in the history of the elements of mathematics, The Cult of Pythagoras dispels myths that obscure the actual origins of mathematical concepts. Chosen as a major selection by Scientific American Book Club (Library of Science(R))
Author: Alberto A. Martinez
Publisher:
ISBN: 9780822962700
Category : Mathematics
Languages : en
Pages : 264
Get Book Here
Book Description
Martínez discusses various popular myths from the history of mathematics. Some stories are partly true, others are entirely false, but all show the power of invention in history. Martínez inspects a wealth of primary sources, in several languages, over a span of many centuries. By exploring disagreements and ambiguities in the history of the elements of mathematics, The Cult of Pythagoras dispels myths that obscure the actual origins of mathematical concepts. Chosen as a major selection by Scientific American Book Club (Library of Science(R))
Author: Charles H. Kahn
Publisher: Hackett Publishing
ISBN: 1603846824
Category : Philosophy
Languages : en
Pages : 209
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Book Description
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.
Author: Christoph Riedweg
Publisher: Cornell University Press
ISBN: 0801464846
Category : Biography & Autobiography
Languages : en
Pages : 199
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Book Description
One of the most important mathematical theorems is named after Pythagoras of Samos, but this semi-mythical Greek sage has more to offer than formulas. He is said to have discovered the numerical nature of the basic consonances and transposed the musical proportions to the cosmos, postulating a "harmony of the spheres." He may have coined the words "cosmos" and "philosophy." He is also believed to have taught the doctrine of transmigration of souls and therefore to have advised a vegetarian diet. Ancient legends have Pythagoras conversing with dogs, bears, and bulls. A distinctly Pythagorean way of life, including detailed ritual regulations, was observed by his disciples, who were organized as a secret society. Later, Pythagorean and Platonic teachings became fused. In this Platonized form, Pythagoreanism has remained influential through medieval Christianity and the Renaissance down to the present. Christoph Riedweg's book is an engaging introduction to the fundamental contributions of Pythagoras to the establishment of European culture. To penetrate the intricate maze of lore and ascertain what history can tell us about the philosopher, Riedweg not only examines the written record but also considers Pythagoras within the cultural, intellectual, and spiritual context of his times. The result is a vivid overview of the life and teachings of a crucial Greek thinker and his most important followers.
Author: Kitty Ferguson
Publisher: Bloomsbury Publishing USA
ISBN: 0802779638
Category : Biography & Autobiography
Languages : en
Pages : 384
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Book Description
The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts. "Pythagoras's 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," wrote Arthur Koestler. Though most people know of him only for the famous Pythagorean Theorem (a2 +b2=c2), 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 sixth-century B.C. scholar. Born around 570 B.C. on the cultured Aegean island of Samos, Pythagoras (according to ancient tales) studied with the sage Thales nearby at Miletus, and with priests and scribes in Egypt and Babylon. Eventually he founded his own school at Croton in southern Italy, where he and his followers began to unravel the surprising deep truths concealed behind such ordinary tasks as tuning a lyre. While considering why some string lengths produced beautiful sounds and others discordant ones, they uncovered the ratios of musical harmony, and recognized that hidden behind the confusion and complexity of nature are patterns and orderly relationships. They had surprised the Creator at his drafting board and had glimpsed the mind of God! Some of them later would also find something darker in numbers and nature: irrationality, a revelation so unsettling and subversive that it may have contributed to the destruction of their brotherhood.
Author: Eli Maor
Publisher: Princeton University Press
ISBN: 0691196885
Category : Mathematics
Languages : en
Pages : 284
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Book Description
Frontmatter --Contents --List of Color Plates --Preface --Prologue: Cambridge, England, 1993 --1. Mesopotamia, 1800 BCE --Sidebar 1: Did the Egyptians Know It? --2. Pythagoras --3. Euclid's Elements --Sidebar 2: The Pythagorean Theorem in Art, Poetry, and Prose --4. Archimedes --5. Translators and Commentators, 500-1500 CE --6. François Viète Makes History --7. From the Infinite to the Infinitesimal --Sidebar 3: A Remarkable Formula by Euler --8. 371 Proofs, and Then Some --Sidebar 4: The Folding Bag --Sidebar 5: Einstein Meets Pythagoras --Sidebar 6: A Most Unusual Proof --9. A Theme and Variations --Sidebar 7: A Pythagorean Curiosity --Sidebar 8: A Case of Overuse --10. Strange Coordinates --11. Notation, Notation, Notation --12. From Flat Space to Curved Spacetime --Sidebar 9: A Case of Misuse --13. Prelude to Relativity --14. From Bern to Berlin, 1905-1915 --Sidebar 10: Four Pythagorean Brainteasers --15. But Is It Universal? --16. Afterthoughts --Epilogue: Samos, 2005 --Appendixes --Chronology --Bibliography --Illustrations Credits --Index.
Author: Carl A. Huffman
Publisher: Cambridge University Press
ISBN: 1139915983
Category : Philosophy
Languages : en
Pages : 659
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Book Description
This is a comprehensive, authoritative and innovative account of Pythagoras and Pythagoreanism, one of the most enigmatic and influential philosophies in the West. In twenty-one chapters covering a timespan from the sixth century BC to the seventeenth century AD, leading scholars construct a number of different images of Pythagoras and his community, assessing current scholarship and offering new answers to central problems. Chapters are devoted to the early Pythagoreans, and the full breadth of Pythagorean thought is explored including politics, religion, music theory, science, mathematics and magic. Separate chapters consider Pythagoreanism in Plato, Aristotle, the Peripatetics and the later Academic tradition, while others describe Pythagoreanism in the historical tradition, in Rome and in the pseudo-Pythagorean writings. The three great lives of Pythagoras by Diogenes Laertius, Porphyry and Iamblichus are also discussed in detail, as is the significance of Pythagoras for the Middle Ages and Renaissance.
Author: Sarah B. Pomeroy
Publisher: JHU Press
ISBN: 1421409569
Category : History
Languages : en
Pages : 197
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Book Description
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.
Author: W.S. Anglin
Publisher: Springer Science & Business Media
ISBN: 1461208033
Category : Science
Languages : en
Pages : 304
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Book Description
The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.
Author: M. Rigoglioso
Publisher: Springer
ISBN: 0230620914
Category : Religion
Languages : en
Pages : 280
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Book Description
Greek religion is filled with strange sexual artifacts - stories of mortal women's couplings with gods; rituals like the basilinna's "marriage" to Dionysus; beliefs in the impregnating power of snakes and deities; the unusual birth stories of Pythagoras, Plato, and Alexander; and more. In this provocative study, Marguerite Rigoglioso suggests such details are remnants of an early Greek cult of divine birth, not unlike that of Egypt. Scouring myth, legend, and history from a female-oriented perspective, she argues that many in the highest echelons of Greek civilization believed non-ordinary conception was the only means possible of bringing forth individuals who could serve as leaders, and that special cadres of virgin priestesses were dedicated to this practice. Her book adds a unique perspective to our understanding of antiquity, and has significant implications for the study of Christianity and other religions in which divine birth claims are central. The book's stunning insights provide fascinating reading for those interested in female-inclusive approaches to ancient religion.
Author: María José García Blanco
Publisher: Cambridge Scholars Publishing
ISBN: 1443889598
Category : Literary Criticism
Languages : en
Pages : 260
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Book Description
The contributions to this book offer a broad vision of the relationships that were established between Greek Philosophy and the Mystery Cults. The authors centre their attention on such thinkers as Plato, Aristotle, and the Stoic and the Neoplatonist philosophers, who used – and in some cases criticised – doctrinal elements from Mystery Cults, adapting them to their own thinking. Thus, the volume provides a new approach to some of the most renowned Greek philosophers, highlighting the influence that Mystery Cults, such as Orphism, Dionysianism, or the Eleusinian rites, had on the formation of fundamental aspects of their thinking. Given its interdisciplinary character, this book will appeal to a broad academic readership interested in the origin of Hellenic thinking and culture. It will be especially useful for those eager for a deeper approach to two fundamental domains that attract the attention of many Antiquity scholars: Greek philosophy and religion.
