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Scientific Method In Ptolemys Harmonics
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Book Synopsis Scientific Method in Ptolemy's Harmonics by : Andrew Barker
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.
Book Synopsis Porphyry's Commentary on Ptolemy's Harmonics by :
Download or read book Porphyry's Commentary on Ptolemy's Harmonics written by and published by Cambridge University Press. This book was released on 2015-09-15 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Porphyry's Commentary, the only surviving ancient commentary on a technical text, is not merely a study of Ptolemy's Harmonics. It includes virtually free-standing philosophical essays on epistemology, metaphysics, scientific methodology, aspects of the Aristotelian categories and the relations between Aristotle's views and Plato's, and a host of briefer comments on other matters of wide philosophical interest. For musicologists it is widely recognised as a treasury of quotations from earlier treatises, many of them otherwise unknown; but Porphyry's own reflections on musical concepts (for instance notes, intervals and their relation to ratios, quantitative and qualitative conceptions of pitch, the continuous and discontinuous forms of vocal movement, and so on) and his snapshots of contemporary music-making have been undeservedly neglected. This volume presents the first English translation and a revised Greek text of the Commentary, with an introduction and notes designed to assist readers in engaging with this important and intricate work.
Book Synopsis Ptolemy's Philosophy by : Jacqueline Feke
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.
Book Synopsis The Monochord in Ancient Greek Harmonic Science by : David Creese
Download or read book The Monochord in Ancient Greek Harmonic Science written by David Creese and published by Cambridge University Press. This book was released on 2010-06-10 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the history of the monochord from its earliest appearance to Claudius Ptolemy (mid-second century AD).
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.
Book Synopsis The Science of Harmonics in Classical Greece by : Andrew Barker
Download or read book The Science of Harmonics in Classical Greece written by Andrew Barker and published by Cambridge University Press. This book was released on 2007-09-13 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ancient science of harmonics investigates the arrangements of pitched sounds which form the basis of musical melody, and the principles which govern them. It was the most important branch of Greek musical theory, studied by philosophers, mathematicians and astronomers as well as by musical specialists. This 2007 book examines its development during the period when its central ideas and rival schools of thought were established, laying the foundations for the speculations of later antiquity, the Middle Ages and the Renaissance. It concentrates particularly on the theorists' methods and purposes and the controversies that their various approaches to the subject provoked. It also seeks to locate the discipline within the broader cultural environment of the period; and it investigates, sometimes with surprising results, the ways in which the theorists' work draws on and in some cases influences that of philosophers and other intellectuals.
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 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In ancient tradition, Pythagoras emerges as a wise teacher, an outstanding mathematician, an influential politician, and as a religious and ethical reformer. This volume offers a comprehensive study of Pythagoras, Pythagoreanism, and the early Pythagoreans through an analysis of the many representations of the individual and his followers.
Book Synopsis The Origin of the History of Science in Classical Antiquity by : Leonid Zhmud
Download or read book The Origin of the History of Science in Classical Antiquity written by Leonid Zhmud and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive study of what remains of the writings of Aristotle's student Eudemus of Rhodes on the history of the exact sciences. These fragments are crucial to our understanding of the content, form, and goal of the Peripatetic historiography of science. The first part of the book presents an analysis of those trends in Presocratic, Sophistic and Platonic thought that contributed to the development of the history of science. The second part provides a detailed study of Eudemus' writings in their relationship with the scientific literature of his time, Aristotelian philosophy and the other historiographic genres practiced at the Lyceum: biography, medical and natural-philosophical doxography. Although Peripatetic historiography of science failed in establishing itself as a continuous genre, it greatly contributed both to the birth of the Arabic medieval historiography of science and to the development of this genre in Europe in the 16th-18th centuries.
Book Synopsis Early Music History: Volume 27 by : Iain Fenlon
Download or read book Early Music History: Volume 27 written by Iain Fenlon and published by Cambridge University Press. This book was released on 2009-05-21 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of music from the early Middle Ages to end of the seventeenth century.
Book Synopsis Wrestling with Nature by : Peter Harrison
Download or read book Wrestling with Nature written by Peter Harrison and published by University of Chicago Press. This book was released on 2011-05-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: When and where did science begin? Historians have offered different answers to these questions, some pointing to Babylonian observational astronomy, some to the speculations of natural philosophers of ancient Greece. Others have opted for early modern Europe, which saw the triumph of Copernicanism and the birth of experimental science, while yet another view is that the appearance of science was postponed until the nineteenth century. Rather than posit a modern definition of science and search for evidence of it in the past, the contributors to Wrestling with Nature examine how students of nature themselves, in various cultures and periods of history, have understood and represented their work. The aim of each chapter is to explain the content, goals, methods, practices, and institutions associated with the investigation of nature and to articulate the strengths, limitations, and boundaries of these efforts from the perspective of the researchers themselves. With contributions from experts representing different historical periods and different disciplinary specializations, this volume offers a fresh perspective on the history of science and on what it meant, in other times and places, to wrestle with nature.
Book Synopsis Studies in the History of the Exact Sciences in Honour of David Pingree by : Jan P. Hogendijk
Download or read book Studies in the History of the Exact Sciences in Honour of David Pingree written by Jan P. Hogendijk and published by BRILL. This book was released on 2004-02-01 with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays reflects the wide range of David Pingree's expertise in the scientific texts (above all, concerning astronomy and astrology) of Ancient Mesopotamia, Greece, India, Persia, and the medieval Arabic, Hebrew and Latin traditions. Both theoretical aspects and the practical applications of the exact sciences-in time keeping, prediction of the future, and the operation of magic-are dealt with. The book includes several critical editions and translations of hitherto unknown or understudied texts, and a particular emphasis is on the diffusion of scientific learning from one culture to another, and through time. Above all, the essays show the variety and sophistication of the exact sciences in non-Western societies in pre-modern times.
Book Synopsis The Oxford Handbook of Science and Medicine in the Classical World by : Paul Keyser
Download or read book The Oxford Handbook of Science and Medicine in the Classical World written by Paul Keyser and published by Oxford University Press. This book was released on 2018-06-26 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a focus on science in the ancient societies of Greece and Rome, including glimpses into Egypt, Mesopotamia, India and China, The Oxford Handbook of Science and Medicine in the Classical World offers an in depth synthesis of science and medicine circa 650 BCE to 650 CE. The Handbook comprises five sections, each with a specific focus on ancient science and medicine. The second section covers the early Greek era, up through Plato and the mid-fourth century bce. The third section covers the long Hellenistic era, from Aristotle through the end of the Roman Republic, acknowledging that the political shift does not mark a sharp intellectual break. The fourth section covers the Roman era from the late Republic through the transition to Late Antiquity. The final section covers the era of Late Antiquity, including the early Byzantine centuries. The Handbook provides through each of its approximately four dozen essays, a synthesis and synopsis of the concepts and models of the various ancient natural sciences, covering the early Greek era through the fall of the Roman Republic, including essays that explore topics such as music theory, ancient philosophers, astrology, and alchemy. The Oxford Handbook of Science and Medicine in the Classical World guides the reader to further exploration of the concepts and models of the ancient sciences, how they evolved and changed over time, and how they relate to one another and to their antecedents. There are a total of four dozen or so topical essays in the five sections, each of which takes as its focus the primary texts, explaining what is now known as well as indicating what future generations of scholars may come to know. Contributors suggest the ranges of scholarly disagreements and have been free to advocate their own positions. Readers are led into further literature (both primary and secondary) through the comprehensive and extensive bibliographies provided with each chapter.
Book Synopsis "Music, Experiment and Mathematics in England, 1653?705 " by : Benjamin Wardhaugh
Download or read book "Music, Experiment and Mathematics in England, 1653?705 " written by Benjamin Wardhaugh and published by Routledge. This book was released on 2017-07-05 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: How, in 1705, was Thomas Salmon, a parson from Bedfordshire, able to persuade the Royal Society that a musical performance could constitute a scientific experiment? Or that the judgement of a musical audience could provide evidence for a mathematically precise theory of musical tuning? This book presents answers to these questions. It constitutes a general history of quantitative music theory in the late seventeenth century as well as a detailed study of one part of that history: namely the applications of mathematical and mechanical methods of understanding to music that were produced in England between 1653 and 1705, beginning with the responses to Descartes's 1650 Compendium music?and ending with the Philosophical Transactions' account of the appearance of Thomas Salmon at the Royal Society in 1705. The book is organized around four key questions. Do musical pitches form a small set or a continuous spectrum? Is there a single faculty of hearing which can account for musical sensation, or is more than one faculty at work? What is the role of harmony in the mechanical world, and where can its effects be found? And what is the relationship between musical theory and musical practice? These are questions which are raised and discussed in the sources themselves, and they have wide significance for early modern theories of knowledge and sensation more generally, as well as providing a fascinating side light onto the world of the scientific revolution.
Book Synopsis Rationality and Reality by : Colin Cheyne
Download or read book Rationality and Reality written by Colin Cheyne and published by Springer Science & Business Media. This book was released on 2006-07-25 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Musgrave has consistently defended two positions that he regards as commonsensical: critical realism and critical rationalism. In this volume a group of internationally-renowned authors discuss themes that are relevant in one way or another to Musgrave’s work. Rather than a standard celebratory festschrift, this book offers a new examination of topics of current interest in philosophy. The contributory essays are followed by responses from Alan Musgrave himself.
Book Synopsis Heinrich Schenker's Conception of Harmony by : Robert W. Wason
Download or read book Heinrich Schenker's Conception of Harmony written by Robert W. Wason and published by Boydell & Brewer. This book was released on 2020 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first detailed study of Schenker's pathbreaking 1906 treatise, showing how it reflected 2500 years of thinking about harmony and presented a vigorous reaction to Austro-Germanic music theory ca. 1900.
Book Synopsis World Soul – Anima Mundi by : Christoph Helmig
Download or read book World Soul – Anima Mundi written by Christoph Helmig and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-01-20 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Plato’s Timaeus onwards, the world or cosmos has been conceived of as a living, rational organism. Most notably in German Idealism, philosophers still talked of a ‘Weltseele’ (Schelling) or ‘Weltgeist’ (Hegel). This volume is the first collection of essays on the origin of the notion of the world soul (anima mundi) in Antiquity and beyond. It contains 14 original contributions by specialists in the field of ancient philosophy, the Platonic tradition and the history of theology. The topics range from the ‘obscure’ Presocratic Heraclitus, to Plato and his ancient readers in Middle and Neoplatonism (including the Stoics), to the reception of the idea of a world soul in the history of natural science. A general introduction highlights the fundamental steps in the development of the Platonic notion throughout late Antiquity and early Christian philosophy. Accessible to Classicists, historians of philosophy, theologians and invaluable to specialists in ancient philosophy, the book provides an overview of the fascinating discussions surrounding a conception that had a long-lasting effect on the history of Western thought.
Book Synopsis The Limits of Exactitude in Greek, Roman, and Byzantine Literature and Textual Transmission by : Nicoletta Bruno
Download or read book The Limits of Exactitude in Greek, Roman, and Byzantine Literature and Textual Transmission written by Nicoletta Bruno and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-11-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on Calvino’s observations on Exactitude in Six Memos for the Next Millennium, the present book elucidates on the possible definitions of exactitude, the endeavor of reaching exactitude, and the undeniable limits to the achievement of this ambitious milestone. The eighteen essays in this interdisciplinary volume show how ancient and medieval authors have been dealing with the problem of exactitude vs. inexactitude and have been able to exploit the ambiguities related to these two concepts to various ends. The articles focus on rhetoric and historiography (section I), exact sciences and technical disciplines (II), the peculiarity of quotations (III), cases of programmatic inexactitude (IV) and textual transmission (V). Several interconnected questions weave a net across the volume: to what extent is exactitude the goal in ancient and medieval texts? How can the concepts of accuracy and inaccuracy aid the reinterpretation of an already known text or fact? To what extent can certain definitions of exactitude be stretched, without turning into inexactitude? The volume presents an extensive study capable of highlighting the shrewdness and aptness of the concepts introduced by Calvino more than thirty years ago.
