Scientific Method in Ptolemy's Harmonics PDF Download
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Author: Andrew Barker
Publisher: Cambridge University Press
ISBN: 9780521553728
Category : History
Languages : en
Pages : 308
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Book Description
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: Andrew Barker
Publisher: Cambridge University Press
ISBN: 9780521553728
Category : History
Languages : en
Pages : 308
Get Book Here
Book Description
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:
Publisher: Cambridge University Press
ISBN: 1316239683
Category : Philosophy
Languages : en
Pages : 592
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Book Description
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.
Author: Jacqueline Feke
Publisher: Princeton University Press
ISBN: 069121039X
Category : Mathematics
Languages : en
Pages : 250
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Book Description
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: David Creese
Publisher: Cambridge University Press
ISBN: 0521843243
Category : History
Languages : en
Pages : 427
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Book Description
Traces the history of the monochord from its earliest appearance to Claudius Ptolemy (mid-second century AD).
Author: Leonid Zhmud
Publisher: Oxford University Press (UK)
ISBN: 019928931X
Category : History
Languages : en
Pages : 516
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Book Description
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.
Author: Jan P. Hogendijk
Publisher: BRILL
ISBN: 9047412443
Category : Philosophy
Languages : en
Pages : 908
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Book Description
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.
Author: Andrew Barker
Publisher: Cambridge University Press
ISBN: 9780521879514
Category : Philosophy
Languages : en
Pages : 494
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Book Description
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.
Author: Richard J. A. Talbert
Publisher: University of Chicago Press
ISBN: 0226789373
Category : History
Languages : en
Pages : 284
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Book Description
Ancient Perspectives encompasses a vast arc of space and time—Western Asia to North Africa and Europe from the third millennium BCE to the fifth century CE—to explore mapmaking and worldviews in the ancient civilizations of Mesopotamia, Egypt, Greece, and Rome. In each society, maps served as critical economic, political, and personal tools, but there was little consistency in how and why they were made. Much like today, maps in antiquity meant very different things to different people. Ancient Perspectives presents an ambitious, fresh overview of cartography and its uses. The seven chapters range from broad-based analyses of mapping in Mesopotamia and Egypt to a close focus on Ptolemy’s ideas for drawing a world map based on the theories of his Greek predecessors at Alexandria. The remarkable accuracy of Mesopotamian city-plans is revealed, as is the creation of maps by Romans to support the proud claim that their emperor’s rule was global in its reach. By probing the instruments and techniques of both Greek and Roman surveyors, one chapter seeks to uncover how their extraordinary planning of roads, aqueducts, and tunnels was achieved. Even though none of these civilizations devised the means to measure time or distance with precision, they still conceptualized their surroundings, natural and man-made, near and far, and felt the urge to record them by inventive means that this absorbing volume reinterprets and compares.
Author: Iain Fenlon
Publisher: Cambridge University Press
ISBN: 9780521760034
Category : Music
Languages : en
Pages : 312
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Book Description
The study of music from the early Middle Ages to end of the seventeenth century.
Author: Peter Harrison
Publisher: University of Chicago Press
ISBN: 0226318036
Category : Science
Languages : en
Pages : 427
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Book Description
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.
