Peter Pesic

Hermann Weyl

This original anthology collects 10 of Weyl's less-technical writings that address the broader scope and implications of mathematics. Most have been long unavailable or not previously published in book form. Subjects include logic, topology, abstract algebra, relativity theory, and reflections on the work of Weyl's mentor, David Hilbert. 2012 edition.

Selected Writings on Mathematics and Philosophy

Levels of Infinity

A wide-ranging exploration of how music has influenced science through the ages, from fifteenth-century cosmology to twentieth-century string theory. 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.

Music and the Making of Modern Science

The unfolding influence of music and sound on the fundamental structure of the biomedical sciences, from ancient times to the present. Beginning in ancient Greece, Peter Pesic writes, music and sound significantly affected the development of the biomedical sciences. Physicians used rhythmical ratios to interpret the pulse, which inspired later efforts to record the pulse in musical notation. After 1700, biology and medicine took a “sonic turn,” viewing the body as a musical instrument, the rhythms and vibrations of which could guide therapeutic insight. In Sounding Bodies, Pesic traces the unfolding influence of music and sound on the fundamental structure of the biomedical sciences. Pesic explains that music and sound provided the life sciences important tools for hearing, understanding, and influencing the rhythms of life. As medicine sought to go beyond the visible manifestations of illness, sound offered ways to access the hidden interiority of body and mind. Sonic interventions addressed the search for a new typology of mental illness, and practitioners used musical instruments to induce hypnotic states meant to cure both psychic and physical ailments. The study of bat echolocation led to the manifold clinical applications of ultrasound; such sonic devices as telephones and tuning forks were used to explore the functioning of the nerves. Sounding Bodies follows Pesic’s Music and the Making of Modern Science and Polyphonic Minds to complete a trilogy on the influence of music on the sciences. Enhanced digital editions of Sounding Bodies offer playable music and sound examples.

Music and the Making of Biomedical Science

Sounding Bodies

Children ask, "Why is the sky blue?" but the question also puzzled Plato, Leonardo, and even Newton, who unlocked so many other secrets. The search for an answer continued for centuries; in 1862 Sir John Herschel listed the color and polarization of sky light as "the two great standing enigmas of meteorology." In Sky in a Bottle, Peter Pesic takes us on a quest to the heart of this mystery, tracing the various attempts of science, history, and art to solve it. He begins with the scholars of the ancient world and continues through the natural philosophers of the Enlightenment, the empiricists of the scientific revolution, and beyond. The cast of characters includes Aristotle, Leonardo da Vinci, Kepler, Descartes, Euler, Saussure, Goethe, Rayleigh, and Einstein; but the protagonist is the question itself, and the story tells how we have tried to answer it. Pesic's odyssey introduces us to central ideas of chemistry, optics, and atomic physics. He describes the polarization of light, Rayleigh scattering, and connections between the appearance of the sky and Avogadro's number. He discusses changing representations of the sky in art, from new styles of painting to new pigments that created new colors for paint. He considers what the sky's nighttime brightness might tell us about the size and density of the universe. And Pesic asks another, daring, question: Can we put the sky in a bottle? Can we recreate and understand its blueness here on earth? This puzzle, he says, opens larger perspectives; questions of the color and brightness of the sky touch on secrets of matter and light, the scope of the universe in space and time, the destiny of the earth, and deep human feelings.

Sky in a Bottle

An exploration of the relationship between quantum theory and concepts of individuality and identity from ancient Greece to the present.

Shared Identities in Physics, Philosophy, and Literature

Seeing Double

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.

James Clerk Maxwell

Thisnbsp;classic sets forth the fundamentals of thermodynamics clearly and simply enough to be understood by a beginning student, yet with enough subtlety and depth of thought to appeal also to more advanced readers. It elucidates fundamentals of kinetic theory and illustrates the Second Law of Thermodynamicsnbsp;withnbsp;"Maxwell’s demon."

Theory of Heat

An exploration of polyphony and the perspective it offers on our own polyphonic brains.

Peter Pesic

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