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One is a science, the other an art; one useful, the other seemingly decorative, but mathematics and music share common origins in cult and mystery and have been linked throughout history. Emblems of Mind is Edward Rothstein’s classic exploration of their profound similarities, a journey into their “inner life.” Along the way, Rothstein explains how mathematics makes sense of space, how music tells a story, how theories are constructed, how melody is shaped. He invokes the poetry of Wordsworth, the anthropology of Lévi-Strauss, the imagery of Plato, and the philosophy of Kant. Math and music, Rothstein shows, apply comparable methods as they create their abstractions, display similar concerns with ratio and proportion, and depend on metaphors and analogies to create their meanings. Ultimately, Rothstein argues, they reveal the ways in which we come to understand the world. They are images of the mind at work and play; indeed, they are emblems of Mind itself. 

Jacques Barzun called this book “splendid.” Martin Gardner said it was “beautifully written, marvelous and entertaining.” It will provoke all serious readers to think in new ways about the grand patterns in art and life. 

“Lovely, wistful. . . . Rothstein is a wonderful guide to the architecture of musical space, its tensions and relations, its resonances and proportions. . . . His account of what is going on in the music is unfailingly felicitous.”—New Yorker

“Provocative and exciting. . . . Rothstein writes this book as a foreign correspondent, sending dispatches from a remote and mysterious locale as a guide for the intellectually adventurous. The remarkable fact about his work is not that it is profound, as much of the writing is, but that it is so accessible.”—Christian Science Monitor

"J.J. was born for music," Jean-Jacques Rousseau wrote of himself, "not to be consumed in its execution, but to speed its progress and make discoveries about it. His ideas on the art and about the art are fertile, inexhaustible." Rousseau was a practicing musician and theorist for years before publication of his first Discourse, but until now scholars have neglected these ideas. This graceful translation remedies both those failings by bringing together the Essay, which John T. Scott says "most clearly displays the juncture between Rousseau's musical theory and his major philosophical works," with a comprehensive selection of the musical writings. Many of the latter are responses to authors like Rameau, Grimm, and Raynal, and a unique feature of this edition is the inclusion of writings by these authors to help establish the historical and ideological contexts of Rousseau's writings and the intellectual exchanges of which they are a part. With an introduction that provides historical background, traces the development of Rousseau's musical theory, and shows that these writings are not an isolated part of his oeuvre but instead are animated by the same "system," this volume fashions a much-needed portal through which literary scholars, musicologists, historians, and political theorists can enter into an important but hitherto overlooked chamber of Rousseau's vast intellectual palace.