Scientific Method in Ptolemy's Harmonics

Scientific Method in Ptolemy's Harmonics

Author: Andrew Barker

Publisher: Cambridge University Press

Published: 2000

Total Pages: 308

ISBN-13: 9780521553728

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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 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.

Porphyry's Commentary on Ptolemy's Harmonics

Porphyry's Commentary on Ptolemy's Harmonics

Author:

Publisher: Cambridge University Press

Published: 2015-09-15

Total Pages: 592

ISBN-13: 1316239683

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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 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.

The Monochord in Ancient Greek Harmonic Science

The Monochord in Ancient Greek Harmonic Science

Author: David Creese

Publisher: Cambridge University Press

Published: 2010-06-10

Total Pages: 427

ISBN-13: 0521843243

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Traces the history of the monochord from its earliest appearance to Claudius Ptolemy (mid-second century AD).


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).

Ptolemy Harmonics

Ptolemy Harmonics

Author: Jon Solomon

Publisher: BRILL

Published: 2018-07-17

Total Pages: 231

ISBN-13: 9004351167

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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 Ptolemy Harmonics by : Jon Solomon

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.

Ptolemy's Philosophy

Ptolemy's Philosophy

Author: Jacqueline Feke

Publisher: Princeton University Press

Published: 2020-10-13

Total Pages: 250

ISBN-13: 069121039X

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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 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.

Pythagoras and the Early Pythagoreans

Pythagoras and the Early Pythagoreans

Author: Leonid Zhmud

Publisher: Oxford University Press

Published: 2012-05-31

Total Pages: 516

ISBN-13: 019928931X

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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 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.

The Origin of the History of Science in Classical Antiquity

The Origin of the History of Science in Classical Antiquity

Author: Leonid Zhmud

Publisher: Walter de Gruyter

Published: 2008-08-22

Total Pages: 344

ISBN-13: 3110194325

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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 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.

Encyclopedia of Ancient Natural Scientists

Encyclopedia of Ancient Natural Scientists

Author: Paul T. Keyser

Publisher: Taylor & Francis

Published: 2008-11-19

Total Pages: 1073

ISBN-13: 113429803X

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The Encyclopedia of Ancient Natural Scientists is the first comprehensive English language work to provide a survey of all ancient natural science, from its beginnings through the end of Late Antiquity. A team of over 100 of the world’s experts in the field have compiled this Encyclopedia, including entries which are not mentioned in any other reference work – resulting in a unique and hugely ambitious resource which will prove indispensable for anyone seeking the details of the history of ancient science. Additional features include a Glossary, Gazetteer, and Time-Line. The Glossary explains many Greek (or Latin) terms difficult to translate, whilst the Gazetteer describes the many locales from which scientists came. The Time-Line shows the rapid rise in the practice of science in the 5th century BCE and rapid decline after Hadrian, due to the centralization of Roman power, with consequent loss of a context within which science could flourish.


Book Synopsis Encyclopedia of Ancient Natural Scientists by : Paul T. Keyser

Download or read book Encyclopedia of Ancient Natural Scientists written by Paul T. Keyser and published by Taylor & Francis. This book was released on 2008-11-19 with total page 1073 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Ancient Natural Scientists is the first comprehensive English language work to provide a survey of all ancient natural science, from its beginnings through the end of Late Antiquity. A team of over 100 of the world’s experts in the field have compiled this Encyclopedia, including entries which are not mentioned in any other reference work – resulting in a unique and hugely ambitious resource which will prove indispensable for anyone seeking the details of the history of ancient science. Additional features include a Glossary, Gazetteer, and Time-Line. The Glossary explains many Greek (or Latin) terms difficult to translate, whilst the Gazetteer describes the many locales from which scientists came. The Time-Line shows the rapid rise in the practice of science in the 5th century BCE and rapid decline after Hadrian, due to the centralization of Roman power, with consequent loss of a context within which science could flourish.

The Science of Harmonics in Classical Greece

The Science of Harmonics in Classical Greece

Author: Andrew Barker

Publisher: Cambridge University Press

Published: 2007-09-13

Total Pages: 494

ISBN-13: 9780521879514

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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 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.

Early Music History: Volume 27

Early Music History: Volume 27

Author: Iain Fenlon

Publisher: Cambridge University Press

Published: 2009-05-21

Total Pages: 312

ISBN-13: 9780521760034

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The study of music from the early Middle Ages to end of the seventeenth century.


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.