Scientific Method in Ptolemy's Harmonics


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.




The Monochord in Ancient Greek Harmonic Science


Book Description

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




Ptolemy's Philosophy


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.




The Science of Harmonics in Classical Greece


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.




Wrestling with Nature


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.




Studies in the History of the Exact Sciences in Honour of David Pingree


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.




The Oxford Handbook of Science and Medicine in the Classical World


Book Description

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.




Rationality and Reality


Book Description

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.




Heinrich Schenker's Conception of Harmony


Book Description

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.




World Soul – Anima Mundi


Book Description

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.