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Author : Jon Solomon
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)
Download or read book Harmony in Ptolemy's Harmonics written by Jon Solomon and published by . This book was released on 1990 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jon Solomon
Publisher : BRILL
ISBN 13 : 9004351167
Total Pages : 231 pages
Book Rating : 4.0/5 (43 download)
Download or read book Ptolemy Harmonics written by Jon Solomon and published by BRILL. This book was released on 2018-07-17 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ptolemy's comprehensive treatises on astronomy and geography were influential for nearly two millennia. Equally influential was his treatise on harmonics, the ancient science which combined and brought to completion the study of philosophy and science. This volume offers a comprehensive English translation and commentary of Ptolemy's Harmonics. The treatise begins with Ptolemy's study of pitches and intervals, for which he extracts both an idealized musical scale and a new acoustical tool. After discussing modulation, he expands his horizons by applying musical intervals to the human soul and celestial bodies, ultimately describing a cosmic harmony. The English translation faithfully reproduces Ptolemy's style and includes all the charts surviving in the manuscript tradition. The commentary offers a full exegesis of the text, loci paralleli, and citations of modern scholarly sources.
Author : Andrew Barker
Publisher : Cambridge University Press
ISBN 13 : 9780521553728
Total Pages : 308 pages
Book Rating : 4.5/5 (537 download)
Download or read book Scientific Method in Ptolemy's Harmonics written by Andrew Barker and published by Cambridge University Press. This book was released on 2000 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The science called 'harmonics' was one of the major intellectual enterprises of Greek antiquity. Ptolemy's treatise seeks to invest it with new scientific rigour; its consistently sophisticated procedural self-awareness marks it as a key text in the history of science. This book is a sustained methodological exploration of Ptolemy's project. After an analysis of his explicit pronouncements on the science's aims and the methods appropriate to it, it examines Ptolemy's conduct of his investigation in detail, concluding that despite occasional uncertainties, the declared procedure is followed with remarkable fidelity. Ptolemy pursues tenaciously his novel objective of integrating closely the project's theoretical and empirical phases and shows astonishing mastery of the concept, the design and the conduct of controlled experimental tests. By opening up this neglected text to historians of science, the book aims to provide a point of departure for wider studies of Greek scientific method.
Author : Bruce Stephenson
Publisher : Princeton University Press
ISBN 13 : 1400863821
Total Pages : 273 pages
Book Rating : 4.4/5 (8 download)
Download or read book The Music of the Heavens written by Bruce Stephenson and published by Princeton University Press. This book was released on 2014-07-14 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Valued today for its development of the third law of planetary motion, Harmonice mundi (1619) was intended by Kepler to expand on ancient efforts to discern a Creator's plan for the planetary system--an arrangement thought to be based on harmonic relationships. Challenging critics who characterize Kepler's theories of harmonic astronomy as "mystical," Bruce Stephenson offers the first thorough technical analysis of the music the astronomer thought the heavens made, and the logic that led him to find musical patterns in his data. In so doing, Stephenson illuminates crucial aspects of Kepler's intellectual development, particularly his ways of classifying and drawing inferences. Beginning with a survey of similar theories associating music with the cyclic motions of planets, from Plato to Boethius, the author highlights Ptolemy's Harmonics, a source of inspiration for Kepler's later work. Turning to Kepler himself, Stephenson gives an account of his polyhedral theory, which explains the number and sizes of the planetary orbits in terms of the five regular poly-hedral. He then examines in detail an early theory that relates the planets' vel-ocities to a musical chord, and analyzes Kepler's unpublished commentary on Ptolemy's Harmonics. Devoting most of his attention to Book Five of Harmonice mundi, in which Kepler elaborated on the musical structure of the planetary system, Stephenson lays important groundwork for any further evaluation of Kepler's scientific thought. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Johannes Kepler
Publisher : American Philosophical Society
ISBN 13 : 9780871692092
Total Pages : 618 pages
Book Rating : 4.6/5 (92 download)
Download or read book The Harmony of the World written by Johannes Kepler and published by American Philosophical Society. This book was released on 1997 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors have presented and interpreted Johannes Kepler's Latin text to English readers by putting it into the kind of clear but earnest language they suppose Kepler would have used if he had been writing today.
Author : Jacqueline Feke
Publisher : Princeton University Press
ISBN 13 : 069121039X
Total Pages : 250 pages
Book Rating : 4.6/5 (912 download)
Download or read book Ptolemy's Philosophy written by Jacqueline Feke and published by Princeton University Press. This book was released on 2020-10-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stimulating intellectual history of Ptolemy's philosophy and his conception of a world in which mathematics reigns supreme The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology. In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda scattered among Ptolemy’s technical studies in the physical and mathematical sciences. She shows how he developed a philosophy that was radical and even subversive, appropriating ideas and turning them against the very philosophers from whom he drew influence. Feke reveals how Ptolemy’s unique system is at once a critique of prevailing philosophical trends and a conception of the world in which mathematics reigns supreme. A compelling work of scholarship, Ptolemy’s Philosophy demonstrates how Ptolemy situated mathematics at the very foundation of all philosophy—theoretical and practical—and advanced the mathematical way of life as the true path to human perfection.
Author : Andrew Barker
Publisher :
ISBN 13 : 9780511777462
Total Pages : 592 pages
Book Rating : 4.7/5 (774 download)
Download or read book Porphyry's Commentary on Ptolemy's Harmonics written by Andrew Barker and published by . This book was released on 2015 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Johannes Kepler
Publisher : Legare Street Press
ISBN 13 : 9781015402027
Total Pages : 0 pages
Book Rating : 4.4/5 (2 download)
Download or read book The Harmonies of the World written by Johannes Kepler and published by Legare Street Press. This book was released on 2022-10-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Joscelyn Godwin
Publisher : Simon and Schuster
ISBN 13 : 1620550954
Total Pages : 208 pages
Book Rating : 4.6/5 (25 download)
Download or read book Harmonies of Heaven and Earth written by Joscelyn Godwin and published by Simon and Schuster. This book was released on 1987-11-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Joscelyn Godwin explores music's effects on matter, living things, and human behavior. Turning to metaphysical accounts of the higher worlds and theories of celestial harmony, the author follows the path of musical inspiration on its descent to Earth, illuminating the archetypal currents that lie beneath Western musical history.
Author : Joscelyn Godwin
Publisher : Simon and Schuster
ISBN 13 : 1620550962
Total Pages : 512 pages
Book Rating : 4.6/5 (25 download)
Download or read book The Harmony of the Spheres written by Joscelyn Godwin and published by Simon and Schuster. This book was released on 1992-11-01 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor of Music at Colgate University and a widely respected musicologist, Godwin traces the history of the idea, held since ancient times, that the whole cosmos, with its circling planets and stars, is in some way a musical or harmonious entity. The author shows how this concept has continued to inspire philosophers, astronomers, and mystics from antiquity to the present day.
Author : Kitty Ferguson
Publisher : Icon Books Ltd
ISBN 13 : 1848312504
Total Pages : 286 pages
Book Rating : 4.8/5 (483 download)
Download or read book Pythagoras written by Kitty Ferguson and published by Icon Books Ltd. This book was released on 2011-03-03 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Kitty Ferguson
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802779638
Total Pages : 384 pages
Book Rating : 4.8/5 (27 download)
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.
Author : Johannes Kepler
Publisher :
ISBN 13 : 9781477519790
Total Pages : 106 pages
Book Rating : 4.5/5 (197 download)
Download or read book Harmonies of the World written by Johannes Kepler and published by . This book was released on 2012-05-23 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: As regards that which I prophesied two and twenty years ago (especially that the five regular solids are found between the celestial spheres), as regards that of which I was firmly persuaded in my own mind before I had seen Ptolemy's Harmonies, as regards that which I promised my friends in the title of this fifth book before I was sure of the thing itself, that which, sixteen years ago, in a published statement, I insisted must be investigated, for the sake of which I spent the best part of my life in astronomical speculations, visited Tycho Brahe, and took up residence at Prague: finally, as God the Best and Greatest, Who had inspired my mind and aroused my great desire, prolonged my life and strength of mind and furnished the other means through the liberality of the two Emperors and the nobles of this province of Austria-on-the-Anisana: after I had discharged my astronomical duties as much as sufficed, finally, I say, I brought it to light and found it to be truer than I had even hoped, and I discovered among the celestial movements the full nature of harmony, in its due measure, together with all its parts unfolded in Book III-not in that mode wherein I had conceived it in my mind (this is not last in my joy) but in a very different mode which is also very excellent and very perfect. There took place in this intervening time, wherein the very laborious reconstruction of the movements held me in suspense, an extraordinary augmentation of my desire and incentive for the job, a reading of the Harmonies of Ptolemy, which had been sent to me in manuscript by John George Herward, Chancellor of Bavaria, a very distinguished man and of a nature to advance philosophy and every type of learning. There, beyond my expectations and with the greatest wonder, I found approximately the whole third book given over to the same consideration of celestial harmony, fifteen hundred years ago.
Author : Rhonda Martens
Publisher : Princeton University Press
ISBN 13 : 1400831091
Total Pages : 216 pages
Book Rating : 4.4/5 (8 download)
Download or read book Kepler's Philosophy and the New Astronomy written by Rhonda Martens and published by Princeton University Press. This book was released on 2009-08-16 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Johannes Kepler contributed importantly to every field he addressed. He changed the face of astronomy by abandoning principles that had been in place for two millennia, made important discoveries in optics and mathematics, and was an uncommonly good philosopher. Generally, however, Kepler's philosophical ideas have been dismissed as irrelevant and even detrimental to his legacy of scientific accomplishment. Here, Rhonda Martens offers the first extended study of Kepler's philosophical views and shows how those views helped him construct and justify the new astronomy. Martens notes that since Kepler became a Copernican before any empirical evidence supported Copernicus over the entrenched Ptolemaic system, his initial reasons for preferring Copernicanism were not telescope observations but rather methodological and metaphysical commitments. Further, she shows that Kepler's metaphysics supported the strikingly modern view of astronomical method that led him to discover the three laws of planetary motion and to wed physics and astronomy--a key development in the scientific revolution. By tracing the evolution of Kepler's thought in his astronomical, metaphysical, and epistemological works, Martens explores the complex interplay between changes in his philosophical views and the status of his astronomical discoveries. She shows how Kepler's philosophy paved the way for the discovery of elliptical orbits and provided a defense of physical astronomy's methodological soundness. In doing so, Martens demonstrates how an empirical discipline was inspired and profoundly shaped by philosophical assumptions.
Author : Glen M. Cooper
Publisher : Routledge
ISBN 13 : 135193502X
Total Pages : 633 pages
Book Rating : 4.3/5 (519 download)
Download or read book Galen, De diebus decretoriis, from Greek into Arabic written by Glen M. Cooper and published by Routledge. This book was released on 2017-03-02 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the first edition of the Arabic translation, by Hunayn ibn Ishaq, of Galen's Critical Days (De diebus decretoriis), together with the first translation of the text into a modern language. The substantial introduction contextualizes the treatise within the Greek and Arabic traditions. Galen's Critical Days was a founding text of astrological medicine. In febrile illnesses, the critical days are the days on which an especially severe pattern of symptoms, a crisis, was likely to occur. The crisis was thought to expel the disease-producing substances from the body. If its precise timing were known, the physician could prepare the patient so that the crisis would be most beneficial. After identifying the critical days based on empirical data and showing how to use them in therapy, Galen explains the critical days via the moon's influence. In the historical introduction Glen Cooper discusses the translation of the Critical Days in Arabic, and adumbrates its possible significance in the intellectual debates and political rivalries among the 9th-century Baghdad elite. It is argued that Galen originally composed the Critical Days both to confound the Skeptics of his own day and to refute a purely mathematical, rationalist approach to science. These features made the text useful in the rivalries between Baghdad scholars. Al-Kindi (d.c. 866) famously propounded a mathematical approach to science akin to the latter. The scholar-bureaucrat responsible for funding this translation, Muhammad ibn Musa (d. 873), al-Kindi's nemesis, may have found the treatise useful in refuting that approach. The commentary and notes to the facing page translation address issues of translation, as well as important concepts.
Author : David Cochrane
Publisher :
ISBN 13 : 9780971695221
Total Pages : pages
Book Rating : 4.6/5 (952 download)
Download or read book Vibrational Astrology written by David Cochrane and published by . This book was released on 2021-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to Vibrational Astrology. The fundamental concepts of Vibrational Astrology have some overlap with the concepts in other systems of astrology, but also differ significantly from what students of astrology and professional astrologers may have learned in other astrological systems. Some of the topics covered in this book are: the way in which planets provide essential simple functions and what the function of each planet is, the effect of different astrological vibrations (harmonic aspects), the impact of planetary configurations such as Isotraps, the effect of zodiac signs, and the effect of astrological houses. This book provides a thorough grounding in the fundamentals of Vibrational Astrology. A careful reading of this provides the essential language and ideas that are used throughout all of the applications of Vibrational Astrology.
Author : Cousto
Publisher :
ISBN 13 : 9780940795204
Total Pages : 0 pages
Book Rating : 4.7/5 (952 download)
Download or read book The Cosmic Octave written by Cousto and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extraordinary book shows how specific musical tones and intervals are related to color, periods of time, the sun, the planets and all the natural cycles and rhythms we find in the universe around us. Cousto reveals how music is truly the language of the cosmos and of the natural world.
