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von Chris Bernhardt
An accessible and fascinating exploration of how Alan Turing’s mathematical theory gave rise to modern computer science and applications—from the desktops to cell phonesIn 1936, when he was just 24 years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing’s Vision, Chris Bernhardt explains the theory for the general reader, beginning with its foundations and systematically building to its surprising conclusions. He also views Turing’s theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing’s later work, and the birth of the modern computer.Turing wanted to show that there were problems that were beyond any computer’s ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing’s ideas, Bernhardt examines 3 well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing’s problem concerning computable numbers.
von Plato
Throughout history, some books have changed the world. They have transformed the way we see ourselves - and each other. They have inspired debate, dissent, war and revolution. They have enlightened, outraged, provoked and comforted. They have enriched lives - and destroyed them. Now Penguin brings you the works of the great thinkers, pioneers, radicals and visionaries whose ideas shook civilization and helped make us who we are. Plato's retelling of the discourses between Socrates and his friends on such subjects as love and desire, truth and illusion, spiritual transcendence and the qualities of a good ruler, profoundly affected the ways in which we view human relationships, society and leadership - and shaped the whole tradition of Western philosophy.
von William Dunham
Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.“It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov
von Nigel Warburton
For readers of E. H. Gombrich’s A Little History of the World, an equally irresistible volume that brings history’s greatest philosophers to life“A primer in human existence: philosophy has rarely seemed so lucid, so important, so worth doing and so easy to enter into. . . . A wonderful introduction for anyone who’s ever felt curious about almost anything.”—Sarah Bakewell, author of How To Live: A Life of Montaigne in One Question and Twenty Attempts at an AnswerPhilosophy begins with questions about the nature of reality and how we should live. These were the concerns of Socrates, who spent his days in the ancient Athenian marketplace asking awkward questions, disconcerting the people he met by showing them how little they genuinely understood. This engaging book introduces the great thinkers in Western philosophy and explores their most compelling ideas about the world and how best to live in it.In forty brief chapters, Nigel Warburton guides us on a chronological tour of the major ideas in the history of philosophy. He provides interesting and often quirky stories of the lives and deaths of thought-provoking philosophers from Socrates, who chose to die by hemlock poisoning rather than live on without the freedom to think for himself, to Peter Singer, who asks the disquieting philosophical and ethical questions that haunt our own times.Warburton not only makes philosophy accessible, he offers inspiration to think, argue, reason, and ask in the tradition of Socrates. A Little History of Philosophy presents the grand sweep of humanity’s search for philosophical understanding and invites all to join in the discussion.
von Friedrich Nietzsche
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.
von Albert Einstein
An accesible version of Einstein's masterpiece of theory, written by the genius himselfAccording to Einstein himself, this book is intended "to give an exact insight into the theory of Relativity to those readers who, from a general scientific and philosophical point of view, are interested in the theory, but who are not conversant with the mathematical apparatus of theoretical physics." When he wrote the book in 1916, Einstein's name was scarcely known outside the physics institutes. Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.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.
von Kurt Godel
Kurt Gödel (1906-1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory and stronger systems, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, the foundations of computation theory, unusual cosmological models, and for the strong individuality of his writings on the philosophy of mathematics. The Collected Works is a landmark resource that draws together a lifetime of creative accomplishment. The first two volumes were devoted to Gödel's publications in full (both in the original and translation). This third volume features a wide selection of unpublished articles and lecture texts found in Gödel's Nachlass, documents that enlarge considerably our appreciation of his scientific and philosophical thought and add a great deal to our understanding of his motivations. Continuing the format of the earlier volumes, the present volume includes introductory notes that provide extensive explanatory and historical commentary on each of the papers, English translations of material originally written in German (some transcribed from Gabelsberger shorthand), and a complete bibliography. A succeeding volume is to contain a comprehensive selection of Gödel's scientific correspondence and a complete inventory of his Nachlass. The books are 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.
von Ludwig Wittgenstein
Written over the last 18 months of his life and inspired by his interest in G. E. Moore's defense of common sense, this much discussed volume collects Wittgenstein's reflections on knowledge and certainty, on what it is to know a proposition for sure.
von Angela Potochnik
Introduction : doing science in a complex world. Science by humans ; Science in a complex world ; The payoff : idealizations and many aims -- Complex causality and simplified representation. Causal patterns in the face of complexity ; Causal patterns ; Causal complexity ; Simplification by idealization ; Reasons to idealize ; Idealizations' representational role ; Rampant and unchecked idealization -- The diversity of scientific projects. Broad patterns : modeling cooperation ; A specific phenomenon : variation in human aggression ; Predictions and idealizations in the physical sciences ; Surveying the diversity -- Science isn't after the truth. The aims of science ; Understanding as science's epistemic aim ; Separate pursuit of science's aims ; Understanding, truth, and knowledge ; The nature of scientific understanding ; The role of truth and scientific knowledge -- Causal pattern explanations. Explanation, communication, and understanding ; An account of scientific explanation ; The scope of causal patterns ; The crucial role of the audience ; Adequate explanations -- Levels and fields of science. Levels in philosophy and science ; Going without levels ; Against hierarchy ; Prizing apart forms of stratification ; The fields of science and how they relate -- Scientific pluralism and its limits. The entrenchment of social values ; How science doesn't inform metaphysics ; Scientific progress.
von Cornel West
Taking Emerson as his starting point, Cornel West’s basic task in this ambitious enterprise is to chart the emergence, development, decline, and recent resurgence of American pragmatism. John Dewey is the central figure in West’s pantheon of pragmatists, but he treats as well such varied mid-century representatives of the tradition as Sidney Hook, C. Wright Mills, W. E. B. Du Bois, Reinhold Niebuhr, and Lionel Trilling. West’s "genealogy" is, ultimately, a very personal work, for it is imbued throughout with the author’s conviction that a thorough reexamination of American pragmatism may help inspire and instruct contemporary efforts to remake and reform American society and culture."West . . . may well be the pre-eminent African American intellectual of our generation."—The Nation"The American Evasion of Philosophy is a highly intelligent and provocative book. Cornel West gives us illuminating readings of the political thought of Emerson and James; provides a penetrating critical assessment of Dewey, his central figure; and offers a brilliant interpretation—appreciative yet far from uncritical—of the contemporary philosopher and neo-pragmatist Richard Rorty. . . . What shines through, throughout the work, is West's firm commitment to a radical vision of a philosophic discourse as inextricably linked to cultural criticism and political engagement."—Paul S. Boyer, professor emeritus of history, University of Wisconsin–Madison.Wisconsin Project on American WritersFrank Lentricchia, General Editor