THE FIFTH HAMMER

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The Fifth Hammer

Author : Daniel Heller-Roazen
ISBN : 193540816X
Genre : Music
File Size : 33.91 MB
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An ancient tradition holds that Pythagoras discovered the secrets of harmony within a forge when he came across five men hammering with five hammers, producing a wondrous sound. Four of the five hammers stood in a marvelous set of proportions, harmonizing; but there was also a fifth hammer. Pythagoras saw and heard it, but he could not measure it; nor could he understand its discordant sound. Pythagoras therefore discarded it. What was this hammer, such that Pythagoras chose so decidedly to reject it?Since antiquity, "harmony" has been a name for more than a theory of musical sounds; it has offered a paradigm for the scientific understanding of the natural world. Nature, through harmony, has been transcribed in the ideal signs of mathematics. But, time and again, the transcription has run up against one fundamental limit: something in nature resists being written down, transcribed in a stable set of ideal elements. A fifth hammer, obstinately, continues to sound. In eight chapters, linked together as are the tones of a single scale, The Fifth Hammer explores the sounds and echoes of that troubling percussion as they make themselves felt on the most varied of attempts to understand and represent the natural world. From music to metaphysics, aesthetics to astronomy, and from Plato and Boethius to Kepler, Leibniz, and Kant, this book explores the ways in which the ordering of the sensible world has continued to suggest a reality that no notes or letters can fully transcribe.
Category: Music

Music And The Making Of Modern Science

Author : Peter Pesic
ISBN : 9780262027274
Genre : Music
File Size : 31.78 MB
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In the natural science of ancient Greece, music formed the meeting place between numbers and perception; for the next two millennia, Pesic tells us in Music and the Making of Modern Science, "liberal education" connected music with arithmetic, geometry, and astronomy within a fourfold study, the quadrivium. Peter Pesic argues provocatively that music has had a formative effect on the development of modern science -- that music has been not just a charming accompaniment to thought but a conceptual force in its own right. Pesic explores a series of episodes in which music influenced science, moments in which prior developments in music arguably affected subsequent aspects of natural science. He describes encounters between harmony and fifteenth-century cosmological controversies, between musical initiatives and irrational numbers, between vibrating bodies and the emergent electromagnetism. He offers lively accounts of how Newton applied the musical scale to define the colors in the spectrum; how Euler and others applied musical ideas to develop the wave theory of light; and how a harmonium prepared Max Planck to find a quantum theory that reengaged the mathematics of vibration. Taken together, these cases document the peculiar power of music -- its autonomous force as a stream of experience, capable of stimulating insights different from those mediated by the verbal and the visual. An innovative e-book edition available for iOS devices will allow sound examples to be played by a touch and shows the score in a moving line.
Category: Music

Inconsistencies

Author : Marcus Steinweg
ISBN : 9780262534352
Genre : Art
File Size : 67.74 MB
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"EMOTION" -- "CRITICAL" -- "SELF-LOSS" -- "HEGEL WITH KIERKEGAARD" -- "GLUE" -- "CREATIO EX NIHILO" -- "NATURALLY?" -- "CONSISTENCY" -- "IDEOLOGY" -- "IMMANENCE IDIOTS" -- "DESIRE" -- "CONTEMPORARIES" -- "GROUND" -- "NOTHINGNESS" -- "DEFINITION OF ART" -- "ABSTRACTION" -- "HETEROLOGY" -- "GADAMER AND DERRIDA WITH HEGEL" -- "CONTINUING TO THINK" -- "DESERT" -- "DOING NOTHING
Category: Art

Wittgenstein Religion And Ethics

Author : Mikel Burley
ISBN : 9781350050235
Genre : Philosophy
File Size : 38.4 MB
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Ludwig Wittgenstein was an outstanding 20th-century philosopher whose influence has reverberated throughout not only philosophy but also numerous other areas of inquiry, including theology and the study of religions. Exemplifying how Wittgenstein's thought can be engaged with both sympathetically and critically, Wittgenstein, Religion and Ethics pushes forward our thinking about religion and ethics and their place in the modern world. Bringing Wittgenstein's ideas into productive dialogue with several other important thinkers, including Elizabeth Anscombe, St Thomas Aquinas, Georg Cantor, Søren Kierkegaard and George Orwell, this collection fosters a highly informative picture of how different strands of contemporary and historical thought intersect and bear upon one another. Chapters are written by leading scholars in the field and tackle current debates concerning religious and ethical matters, with particular attention to the nature of religious language. This is a substantial contribution to religion and ethics, demonstrating the significance of Wittgenstein's ideas for these and related subjects.
Category: Philosophy

Sound And The Ancient Senses

Author : Shane Butler
ISBN : 9781317300427
Genre : History
File Size : 55.83 MB
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Sound leaves no ruins and no residues, even though it is experienced constantly. It is ubiquitous but fleeting. Even silence has sound, even absence resonates. Sound and the Ancient Senses aims to hear the lost sounds of antiquity, from the sounds of the human body to those of the gods, from the bathhouse to the Forum, from the chirp of a cicada to the music of the spheres. Sound plays so great a role in shaping our environments as to make it a crucial sounding board for thinking about space and ecology, emotions and experience, mortality and the divine, orality and textuality, and the self and its connection to others. From antiquity to the present day, poets and philosophers have strained to hear the ways that sounds structure our world and identities. This volume looks at theories and practices of hearing and producing sounds in ritual contexts, medicine, mourning, music, poetry, drama, erotics, philosophy, rhetoric, linguistics, vocality, and on the page, and shows how ancient ideas of sound still shape how and what we hear today. As the first comprehensive introduction to the soundscapes of antiquity, this volume makes a significant contribution to the burgeoning fields of sound and voice studies and is the final volume of the series, The Senses in Antiquity.
Category: History

The Parthenon And Liberal Education

Author : Geoff Lehman
ISBN : 9781438468419
Genre : Education
File Size : 39.44 MB
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Discusses the importance of the early history of Greek mathematics to education and civic life through a study of the Parthenon and dialogues of Plato.
Category: Education

What Galileo Saw

Author : Lawrence Lipking
ISBN : 9780801454844
Genre : Science
File Size : 25.49 MB
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The Scientific Revolution of the seventeenth century has often been called a decisive turning point in human history. It represents, for good or ill, the birth of modern science and modern ways of viewing the world. In What Galileo Saw, Lawrence Lipking offers a new perspective on how to understand what happened then, arguing that artistic imagination and creativity as much as rational thought played a critical role in creating new visions of science and in shaping stories about eye-opening discoveries in cosmology, natural history, engineering, and the life sciences. When Galileo saw the face of the Moon and the moons of Jupiter, Lipking writes, he had to picture a cosmos that could account for them. Kepler thought his geometry could open a window into the mind of God. Francis Bacon's natural history envisioned an order of things that would replace the illusions of language with solid evidence and transform notions of life and death. Descartes designed a hypothetical "Book of Nature" to explain how everything in the universe was constructed. Thomas Browne reconceived the boundaries of truth and error. Robert Hooke, like Leonardo, was both researcher and artist; his schemes illuminate the microscopic and the macrocosmic. And when Isaac Newton imagined nature as a coherent and comprehensive mathematical system, he redefined the goals of science and the meaning of genius. What Galileo Saw bridges the divide between science and art; it brings together Galileo and Milton, Bacon and Shakespeare. Lipking enters the minds and the workshops where the Scientific Revolution was fashioned, drawing on art, literature, and the history of science to reimagine how perceptions about the world and human life could change so drastically, and change forever.
Category: Science

Qui Parle

Author :
ISBN : MINN:31951P01108472J
Genre : Literature
File Size : 55.26 MB
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Category: Literature

A Source Book In Greek Science

Author : Morris Raphael Cohen
ISBN : UOM:39015021559169
Genre : Science
File Size : 47.70 MB
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Covering the general fields of mathematics, astronomy, mathematical geography, physics, chemistry and chemical technology, geology and meteorology, biology, medicine, and physiological psychology, the present collection surveys the field of Greek scientific achievement over a thousand-year period. Many Greek scientific treatises were written and read by cultivated people who did not regard themselves as specialists. These works should appeal today to those readers who wish to understand not only the foundations of modern science, but also a vital element of the humanistic tradition.
Category: Science