Download or read book The Pythagorean World written by Jane McDonnell and published by Springer. This book was released on 2016-11-17 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is mathematical. The ancient Pythagoreans stated that “everything is number”. However, while exploring the Pythagorean method, this book chooses to add a second principle of the universe: the mind. This work defends the proposition that mind and mathematical structure are the grounds of reality.
Download or read book The Pythagorean World written by Jane McDonnell and published by Palgrave Macmillan. This book was released on 2018-06-23 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is mathematical. The ancient Pythagoreans stated that “everything is number”. However, while exploring the Pythagorean method, this book chooses to add a second principle of the universe: the mind. This work defends the proposition that mind and mathematical structure are the grounds of reality.
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.
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.
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.
Download or read book Lore and Science in Ancient Pythagoreanism written by Walter Burkert and published by Harvard University Press. This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: For this first English edition of his distinguished study of Pythagoreanism, Weisheit und Wissenschajt: Studien zu Pythagoras, Philolaos, und Platon, Walter Burkert has carefully revised text and notes, taking account of additional literature on the subject which appeared between 1962 and 1969. By a thorough critical sifting of all the available evidence, the author lays a new foundation for the understanding of ancient Pythagoreanism and in particular of the relationship within it of "lore" and "science." He shows that in the twilight zone when the Greeks were discovering the rational interpretation of the world and quantitative natural science, Pythagoras represented not the origin of the new, but the survival or revival of ancient, pre-scientific lore or wisdom, based on superhuman authority and expressed in ritual obligation.
Download or read book The Metaphysics of the Pythagorean Theorem written by Robert Hahn and published by State University of New York Press. This book was released on 2017-05-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Pythagorean Knowledge from the Ancient to the Modern World written by Almut-Barbara Renger and published by Harrassowitz. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In both ancient tradition and modern research Pythagoreanism has been understood as a religious sect or as a philosophical and scientific community. Numerous attempts have been made to reconcile these pictures as well as to analyze them separately. The most recent scholarship compartmentalizes different facets of Pythagorean knowledge, but this offers no context for exploring their origins, development, and interdependence. This collection aims to reverse this trend, addressing connections between the different fields of Pythagorean knowledge, such as eschatology, metempsychosis, metaphysics, epistemology, arithmology and numerology, music, dietetics and medicine as well as politics. In particular, the contributions discuss how the Pythagorean way of life related to more doctrinal aspects of knowledge, such as Pythagorean religion and science. The volume explores the effects of this interdependence between different kinds of knowledge both within the Pythagorean corpus and in its later reception. Chapters cover historical periods from the Archaic Period (6th century BC) to Neoplatonism, Early Christianity, the European and Arabic Middle Ages, and the Renaissance through to the Early Modern Period (17th century AD). Contributions by E. Afonasin, L. Arcari, D. Baltzly, A. Barker, H. Bartos, A. Bernabe, J. Bremmer, L. Brisson, F. Casadesus, M. Catarzi, S. Chrysakopoulou, G. Cornelli, E. Cottrell, S. Galson, M. Giangiulio, T. Iremadze, A. Izdebska, C. L. Joost-Gaugier, S. Kouloumentas, B. La Sala, R. McKirahan, C. Montepaone, H.-P. Neumann, A. Palmer, A. Provenza, I. Ramelli, D. Robichaud, B. Roling, W. Schmidt-Biggemann, E. Spinelli, I. F. Viltanioti, and L. Zhmud.
Download or read book The Golden Verses of Pythagoras written by Pythagoras and published by . This book was released on 1732 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book The Mathematical Universe written by Joel L. Schiff and published by Springer Nature. This book was released on 2020-11-18 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: I first had a quick look, then I started reading it. I couldn't stop. -Gerard 't Hooft (Nobel Prize, in Physics 1999) This is a book about the mathematical nature of our Universe. Armed with no more than basic high school mathematics, Dr. Joel L. Schiff takes you on a foray through some of the most intriguing aspects of the world around us. Along the way, you will visit the bizarre world of subatomic particles, honey bees and ants, galaxies, black holes, infinity, and more. Included are such goodies as measuring the speed of light with your microwave oven, determining the size of the Earth with a stick in the ground and the age of the Solar System from meteorites, understanding how the Theory of Relativity makes your everyday GPS system possible, and so much more. These topics are easily accessible to anyone who has ever brushed up against the Pythagorean Theorem and the symbol π, with the lightest dusting of algebra. Through this book, science-curious readers will come to appreciate the patterns, seeming contradictions, and extraordinary mathematical beauty of our Universe.
Download or read book Pythagoras His Theorem written by Paul Strathern and published by Vintage. This book was released on 1997 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a moment of great discovery, one Big Idea can change the world... Pythagoras was arguably the first 'genius' of Western culture, establishing a blend of high intellect and high lunacy, both of which have become recurrent features of this scholarly heritage.Most memorably, he created the Pythagorean Theorem, and established the concept of proofs in mathematics. Less well known was the religion he founded which forbade his disciples from eating beans or stepping over fallen poles! Pythagoras & His Theorem tells the remarkable story of the life of this poorly understood genius and the transformation his work brought about in mathematics. Pythagoras' Big Idea is presented in an accessible and enthralling way, providing an explanation of the meaning of his work, its historical and scientific context, and significance for the world in which we live. The Big Idea series is a fascinating look at the greatest advances in our scientific history, and at the men and women who made these fundamental breakthroughs.
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 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 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.
Download or read book Iamblichus Life of Pythagoras written by Iamblichus and published by Inner Traditions / Bear & Co. This book was released on 1986-12 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pythagoric life accompanied by fragments of the ethical writings of certain Pythagoreans in the Doric dialect and a collection of Pythagoric sentences from Stobaeus and others.
Download or read book The Theoretic Arithmetic of the Pythagoreans written by Thomas Taylor and published by Health Research Books. This book was released on 2006-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
