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: 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.
Author: Flora R. Levin
Publisher: Cambridge University Press
ISBN: 0521518903
Category : History
Languages : en
Pages : 365
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Book Description
In this book, Flora Levin explores how and why music was so important to the ancient Greeks. She examines the distinctions that they drew between the theory of music as an art ruled by number and the theory wherein number is held to be ruled by the art of music. These perspectives generated more expansive theories, particularly the idea that the cosmos is a mirror-image of music's structural elements and, conversely, that music by virtue of its cosmic elements - time, motion, and the continuum - is itself a mirror-image of the cosmos. These opposing perspectives gave rise to two opposing schools of thought, the Pythagorean and the Aristoxenian. Levin argues that the clash between these two schools could never be reconciled because the inherent conflict arises from two different worlds of mathematics. Her book shows how the Greeks' appreciation of the profundity of music's interconnections with philosophy, mathematics, and logic led to groundbreaking intellectual achievements that no civilization has ever matched.
Author: Leonid Zhmud
Publisher: Walter de Gruyter
ISBN: 3110194325
Category : History
Languages : en
Pages : 344
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Book Description
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.
