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The Music Of Pythagoras
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Book Synopsis The Music of Pythagoras by : Kitty Ferguson
Download or read book The Music of Pythagoras written by Kitty Ferguson and published by Bloomsbury Publishing USA. This book was released on 2011-01-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Pythagoras written by Kitty Ferguson and published by Icon Books. This book was released on 2011 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The enthralling story of Pythagoras and the Pythagoreans, whose insight 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 in this eye-opening new book, Pythagoras had much the same idea - but 2,500 years earlier. Though many know him only for the so-called Pythagorean theorem, in fact the pillars of our scientific tradition - the 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 and his ancient followers. Alongside the poignant human saga, Kitty Ferguson brilliantly evokes Pythagoras' ancient world, showing how his ideas spread in antiquity and in the Middle Ages, and chronicles the incredible influence he and his followers have had on extraordinary people - from Plato to Bertrand Russell - throughout the history of Western thought and science.
Download or read book Music by the Numbers written by Eli Maor and published by Princeton University Press. This book was released on 2020-03-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century.
Book Synopsis The Fifth Hammer by : Daniel Heller-Roazen
Download or read book The Fifth Hammer written by Daniel Heller-Roazen and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: How the ordering of the sensible world continues to suggest a reality that no notes or letters can fully transcribe. An ancient tradition holds that Pythagoras discovered the secrets of harmony within a forge when he came across five men hammering with five hammers, producing a wondrous sound. Four of the five hammers stood in a marvelous set of proportions, harmonizing; but there was also a fifth hammer. Pythagoras saw and heard it, but he could not measure it; nor could he understand its discordant sound. Pythagoras therefore discarded it. What was this hammer, such that Pythagoras chose so decidedly to reject it? Since antiquity, "harmony" has been a name for more than a theory of musical sounds; it has offered a paradigm for the scientific understanding of the natural world. Nature, through harmony, has been transcribed in the ideal signs of mathematics. But, time and again, the transcription has run up against one fundamental limit: something in nature resists being written down, transcribed in a stable set of ideal elements. A fifth hammer, obstinately, continues to sound. In eight chapters, linked together as are the tones of a single scale, The Fifth Hammer explores the sounds and echoes of that troubling percussion as they make themselves felt on the most varied of attempts to understand and represent the natural world. From music to metaphysics, aesthetics to astronomy, and from Plato and Boethius to Kepler, Leibniz, and Kant, this book explores the ways in which the ordering of the sensible world has continued to suggest a reality that no notes or letters can fully transcribe.
Book Synopsis Music and Mathematics by : John Fauvel
Download or read book Music and Mathematics written by John Fauvel and published by Oxford University Press, USA. This book was released on 2006 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: From ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This work links these two subjects in a manner that is suitable for students of both subjects, as well as the general reader with an interest in music.
Book Synopsis The Pythagorean Plato by : Ernest G. McClain
Download or read book The Pythagorean Plato written by Ernest G. McClain and published by Nicolas-Hays. This book was released on 1977 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pythagoras and the Early Pythagoreans by : Leonid Zhmud
Download or read book Pythagoras and the Early Pythagoreans written by Leonid Zhmud and published by Oxford University Press. This book was released on 2012-05-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Pythagoras (c. 570 - c. 495 BC), arguably the most influential thinker among the Presocratics, emerges in ancient tradition as a wise teacher, an outstanding mathematician, an influential politician, and as a religious and ethical reformer. He claimed to possess supernatural powers and was the kind of personality who attracted legends. In contrast to his controversial and elusive nature, the early Pythagoreans, such as the doctors Democedes and Alcmaeon, the Olympic victors Milon and Iccus, the botanist Menestor, the natural philosopher Hippon, and the mathematicians Hippasus and Theodorus, all appear in our sources as 'rational' as they can possibly be. It was this 'normality' that ensured the continued existence of Pythagoreanism as a philosophical and scientific school till c. 350 BC. This volume offers a comprehensive study of Pythagoras and the early Pythagoreans through an analysis of the many representations of the Teacher and his followers, allowing the representations to complement and critique each other. Relying predominantly on sources dating back to before 300 BC, Zhmud portrays a more historical picture of Pythagoras, of the society founded by him, and of its religion than is known from the late antique biographies. In chapters devoted to mathematical and natural sciences cultivated by the Pythagoreans and to their philosophies, a critical distinction is made between the theories of individual figures and a generalized 'all-Pythagorean teaching', which is known from Aristotle.
Download or read book Pythagoras written by Christoph Riedweg and published by Cornell University Press. This book was released on 2011-11-11 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pythagoras, the Immortal Sage by : Raymond W. Bernard
Download or read book Pythagoras, the Immortal Sage written by Raymond W. Bernard and published by Health Research Books. This book was released on 1958 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one who has ever lived has contributed more to the progress of mankind than Pythagoras. Without question the wisest man who ever lived, he was the first Greek to be called by the name of philosopher.
Download or read book Pythagoras written by Thomas Stanley and published by Nicolas-Hays, Inc.. This book was released on 2010-05-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The timeless brilliance of this exhaustive survey of the best classical writers of antiquity on Pythagoras was first published in 1687 in Thomas Stanley’s massive tome, The History of Philosophy. It remains as contemporary today as it was over three hundred years ago. The text of the 1687 book has been reset and modernized to make it more accessible to the modern reader. Spelling has been regularized, obsolete words not found in a modern dictionary have been replaced, and contemporary conventions of punctuation have been used. Biographical sketches of Thomas Stanley and Pythagoras by Manly Palmer Hall, founder of the Philosophical Research Society, have been included, along with a profound overview of Pythagorean philosophy by Platonic scholar Dr. Henry L. Drake. The extensive Greek language references throughout the text have been corrected and contextualized, and reset in a modern Greek font. Each quotation has been verified with the source document in Greek. An extensive annotated appendix of these classical sources is included. A complete bibliography details all the reference works utilized, and a small Glossary defines a number of terms, especially those from musical theory, which may be unfamiliar to the non-technical reader.
Book Synopsis Pythagoras' Trousers by : Margaret Wertheim
Download or read book Pythagoras' Trousers written by Margaret Wertheim and published by W. W. Norton & Company. This book was released on 1997 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: An "immensely accessible tour (which tells) how the physics lab became another Vatican with a no-girls-allowed sign on its door" (Susan Faludi) this spirited look at the relationship between physics and religion argues that gender inequity in physics is a result of the religious origins of the enterprise.
Book Synopsis Pythagoras and the Pythagoreans by : Charles H. Kahn
Download or read book Pythagoras and the Pythagoreans written by Charles H. Kahn and published by Hackett Publishing. This book was released on 2001-09-30 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Brill's Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance by : Irene Caiazzo
Download or read book Brill's Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance written by Irene Caiazzo and published by BRILL. This book was released on 2021-11-22 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, the reader can have a synoptic view of the reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance, East and West, in a multicultural perspective. All the major themes of Pythagoreanism are addressed, from mathematics, number philosophy and metaphysics to ethics and religious thought.
Book Synopsis Pythagorean Women by : Sarah B. Pomeroy
Download or read book Pythagorean Women written by Sarah B. Pomeroy and published by JHU Press. This book was released on 2013-09 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis A History of Pythagoreanism by : Carl A. Huffman
Download or read book A History of Pythagoreanism written by Carl A. Huffman and published by Cambridge University Press. This book was released on 2014-04-24 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pythagoras and the Ratios by : Julie Ellis
Download or read book Pythagoras and the Ratios written by Julie Ellis and published by Triangle Interactive, Inc. . This book was released on 2021-11-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Julie Ellis and Phyllis Hornung Peacock team up once again to explore Pythagorean ratios in this humorous sequel to WHAT'S YOUR ANGLE, PYTHAGORAS? Pythagoras and his cousins want to win a music contest, but first they must figure out how to play their instruments in tune, something that's never been done before. While trying to fix the problem, Pythagoras makes an important discovery--notes that sound pleasant together have a certain mathematical relationship. When Pythagoras applies this ratio to his cousins' pipes and lyres, the result is music to the ears.
