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This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

Friedrich Nietzsche's most accessible and influential philosophical work, misquoted, misrepresented, brilliantly original and enormously influentialNietzsche was one of the most revolutionary and subversive thinkers in Western philosophy, and Thus Spoke Zarathustra remains his most famous and influential work. It describes how the ancient Persian prophet Zarathustra descends from his solitude in the mountains to tell the world that God is dead and that the Superman, the human embodiment of divinity, is his successor. Nietzsche's utterance 'God is dead', his insistence that the meaning of life is to be found in purely human terms, and his doctrine of the Superman and the will to power were all later seized upon and unrecognisably twisted by, among others, Nazi intellectuals. With blazing intensity and poetic brilliance, Nietzsche argues that the meaning of existence is not to be found in religious pieties or meek submission to authority, but in an all-powerful life force: passionate, chaotic and free.For more than seventy years, Penguin has been the leading publisher of classic literature in the English-speaking world. With more than 1,700 titles, Penguin Classics represents a global bookshelf of the best works throughout history and across genres and disciplines. Readers trust the series to provide authoritative texts enhanced by introductions and notes by distinguished scholars and contemporary authors, as well as up-to-date translations by award-winning translators.

In a single work of colossal scope one of the world’s greatest scientists has given us a complete and unrivalled guide to the glories of the universe.The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader — for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book.Roger Penrose’s purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. Rarely less than challenging, the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams.The Road to Reality was a Sunday Times top-ten bestseller in the hardcover edition, with over 40,000 copies sold.

In 1913, a young unschooled Indian clerk wrote a letter to G H Hardy, begging the pre-eminent English mathematician's opinion on several ideas he had about numbers. Realising the letter was the work of a genius, Hardy arranged for Srinivasa Ramanujan to come to England. Thus began one of the most improbable and productive collaborations ever chronicled. With a passion for rich and evocative detail, Robert Kanigel takes us from the temples and slums of Madras to the courts and chapels of Cambridge University, where the devout Hindu Ramanujan, 'the Prince of Intuition,' tested his brilliant theories alongside the sophisticated and eccentric Hardy, 'the Apostle of Proof'. In time, Ramanujan's creative intensity took its he died at the age of thirty-two and left behind a magical and inspired legacy that is still being plumbed for its secrets today.

Madness, sexuality, power, knowledge—are these facts of life or simply parts of speech? In a series of works of astonishing brilliance, historian Michel Foucault excavated the hidden assumptions that govern the way we live and the way we think.The Archaeology of Knowledge begins at the level of "things aid" and moves quickly to illuminate the connections between knowledge, language, and action in a style at once profound and personal. A summing up of Foucault's own methodological assumptions, this book is also a first step toward a genealogy of the way we live now.Challenging, at times infuriating, it is an absolutely indispensable guide to one of the most innovative thinkers of our time.

" . . . a great read. It is masterfully presented, and is an ideal text both for advanced undergraduates and graduate students." —International Journal of African Historical Studies" . . . a detailed, critical guide to fifty years of African philosophy . . . " —Teaching Philosophy"Masolo offers an expansive and lucidly panoramic view of the origin and developments in African philosophy." —Africa Today"The excellence of this book lies in the wealth of perspectives that it brings to the discussion on what constitutes philosophy, rationality, and meaningful reflection. It is both thought provoking and illuminating." —EthicsA Kenyan philosopher surveys themes and debates in African philosophy over the last five decades. Masolo's purview includes Francophone and Anglophone philosophers in both the analytic and phenomenological traditions.

Kurt Gödel was the most outstanding logician of the twentieth century, famous for his work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of computation theory, as well as for the strong individuality of his writings on the philosophy of mathematics. Less well-known is his discovery of unusual cosmological models for Einstein's equations, permitting "time-travel" into the past.This second volume of a comprehensive edition of Gödel's works collects together all his publications from 1938 to 1974. Together with Volume I (Publications 1929-1936), it makes available for the first time in a single source all of his previously published work. Continuing the format established in the earlier volume, the present text includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, a facing English translation of the one German original, and a complete bibliography. Succeeding volumes are to contain unpublished manuscripts, lectures, correspondence, and extracts from the notebooks.Collected Works is designed to be accessible and useful to as wide an audience as possible without sacrificing scientific or historical accuracy. The only complete edition available in English, it will be an essential part of the working library of professionals and students in logic, mathematics, philosophy, history of science, and computer science. These volumes will also interest scientists and all others who wish to be acquainted with one of the great minds of the twentieth century.

Conceived originally as a serious presentation of the development of philosophy for Catholic seminary students, Frederick Copleston's nine-volume A History Of Philosophy has journeyed far beyond the modest purpose of its author to universal acclaim as the best history of philosophy in English. Copleston, an Oxford Jesuit of immense erudition who once tangled with A. J. Ayer in a fabled debate about the existence of God and the possibility of metaphysics, knew that seminary students were fed a woefully inadequate diet of theses and proofs, and that their familiarity with most of history's great thinkers was reduced to simplistic caricatures. Copleston set out to redress the wrong by writing a complete history of Western philosophy, one crackling with incident and intellectual excitement -- and one that gives full place to each thinker, presenting his thought in a beautifully rounded manner and showing his links to those who went before and to those who came after him. The result of Copleston's prodigious labors is a history of philosophy that is unlikely ever to be surpassed. Thought magazine summed up the general agreement among scholars and students alike when it reviewed Copleston's A History of Philosophy as "broad-minded and objective, comprehensive and scholarly, unified and well proportioned... We cannot recommend [it] too highly."

On March 13, 1964, Feynman delivered a lecture to the Caltech freshman class, "The Motion of Planets Around the Sun"why the planets move elliptically instead of in perfect circles. For reasons unknown, most probably for his own amusement, he chose to make the argument using mathematics no more advanced than high-school plane geometry. Isaac Newton had pulled off much the same trick nearly 300 years earlier in his masterpiece, the Principia. Feynman, unable to follow Newton's obscure proof, invented his own original, geometrical proof in the Caltech lecture. The subject of Feynman's lecture was the watershed discovery that separated the ancient world discovery that separated the ancient world from the modern world - the culmination of the Scientific Revolution. Before Copernicus, Kepler, Galileo, and Newton, the universe was Earth-centered. After their discoveries, our idea of the universe steadily altered and expanded, moving outward to the infinity we try to understand in our own time. Thus Feynman deals here with a crowning achievement of the human mind, comparable to Beethoven's symphonies. Shakespeare's plays, or Michelangelo's Sistine Chapel. Feynman conclusively demonstrates the astonishing fact that has mystified and intrigued all deep thinkers since Newton's time: Nature obeys mathematics. For thirty years this brilliant and seminal lecture lay dormant in the Caltech archives. Now, in this book, Feynman's lost lecture has been reconstructed and explained in meticulous detail together with a history of ideas of the planets' motions. Anyone who remembers high-school geometry can enjoy it and can profit from the compact disc that accompanies this book.

"This book is valuable as expounding in full a theory of meaning that has its roots in the work of Frege and has been of the widest influence. . . . The chief virtue of the book is its systematic character. From Frege to Quine most philosophical logicians have restricted themselves by piecemeal and local assaults on the problems involved. The book is marked by a genial tolerance. Carnap sees himself as proposing conventions rather than asserting truths. However he provides plenty of matter for argument."—Anthony Quinton, Hibbert Journal