Previous edition hb ISBN (1976): 0-521-21116-6 Previous edition pb ISBN (1976): 0-521-29048-1

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    Price begins with the mystery of the arrow of time. Why, for example, does disorder always increase, as required by the second law of thermodynamics? Price shows that, for over a century, most physicists have thought about these problems the wrong way. Misled by the human perspective from withintime, which distorts and exaggerates the differences between past and future, they have fallen victim to what Price calls the double standard fallacy: proposed explanations of the difference between the past and the future turn out to rely on a difference which has been slipped in at thebeginning, when the physicists themselves treat the past and future in different ways. To avoid this fallacy, Price argues, we need to overcome our natural tendency to think about the past and the future differently. We need to imagine a point outside time -- an Archimedean view from nowhen --from which to observe time in an unbiased way. Offering a lively criticism of many major modern physicists, including Richard Feynman and Stephen Hawking, Price shows that this fallacy remains common in physics today -- for example, when contemporary cosmologists theorize about the eventual fate of the universe. The big bang theory normallyassumes that the beginning and end of the universe will be very different. But if we are to avoid the double standard fallacy, we need to consider time symmetrically, and take seriously the possibility that the arrow of time may reverse when the universe recollapses into a big crunch. Price then turns to the greatest mystery of modern physics, the meaning of quantum theory. He argues that in missing the Archimedean viewpoint, modern physics has missed a radical and attractive solution to many of the apparent paradoxes of quantum physics. Many consequences of quantum theoryappear counterintuitive, such as Schrodinger's Cat, whose condition seems undetermined until observed, and Bell's Theorem, which suggests a spooky nonlocality, where events happening simultaneously in different places seem to affect each other directly. Price shows that these paradoxes can beavoided by allowing that at the quantum level the future does, indeed, affect the past. This demystifies nonlocality, and supports Einstein's unpopular intuition that quantum theory describes an objective world, existing independently of human observers: the Cat is alive or dead, even when nobodylooks. So interpreted, Price argues, quantum mechanics is simply the kind of theory we ought to have expected in microphysics -- from the symmetric standpoint.Time's Arrow and Archimedes' Point presents an innovative and controversial view of time and contemporary physics. In this exciting book, Price urges physicists, philosophers, and anyone who has ever pondered the mysteries of time to look at the world from the fresh perspective of Archimedes' Pointand gain a deeper understanding of ourselves, the universe around us, and our own place in time.

    An Essay on Man is an original synthesis of contemporary knowledge, a unique interpretation of the intellectual crisis of our time, and a brilliant vindication of man’s ability to resolve human problems by the courageous use of his mind. What the thinkers of the past have thought of the human race, what can be said of its art, language, and capacities for good and evil in the light of modern knowledge are discussed by a great philosopher who had a profound experience of the past and of his own time.

    It is difficult to think about law, politics, religion, public policy, intimate relationships, morality—as well as feelings of remorse or personal achievement—without first imagining that every person is the true source of his or her thoughts and actions. And yet the facts tell us that free will is an illusion.In this enlightening book, Sam Harris argues that this truth about the human mind does not undermine morality or diminish the importance of social and political freedom, but it can and should change the way we think about some of the most important questions in life.

    Here, Sokal teams up with Jean Bricmont to expose the abuse of scientific concepts in the writings of today's most fashionable postmodern thinkers. From Jacques Lacan and Julia Kristeva to Luce Irigaray and Jean Baudrillard, the authors document the errors made by some postmodernists using science to bolster their arguments and theories. Witty and closely reasoned, Fashionable Nonsense dispels the notion that scientific theories are mere "narratives" or social constructions, and explored the abilities and the limits of science to describe the conditions of existence.

    No goal is more elusive. In How to Be a Stoic, philosopher Massimo Pigliucci offers Stoicism, the ancient philosophy that inspired the great emperor Marcus Aurelius, as the best way to attain it. Stoicism is a pragmatic philosophy that focuses our attention on what is possible and gives us perspective on what is unimportant. By understanding Stoicism, we can learn to answer crucial questions: Should we get married or divorced? How should we handle our money in a world nearly destroyed by a financial crisis? How can we survive great personal tragedy? Whoever we are, Stoicism has something for us–and How to Be a Stoic is the essential guide.

    Magee is the Carl Sagan of philosophy, the great popularizer of the subject, and author of a major new introductory history, The Story of Philosophy. Confessions follows the course of Magee's life, exploring philosophers and ideas as he himself encountered them, introducing all the great figures and their ideas, from the pre-Socratics to Bertrand Russell and Karl Popper, including Wittgenstein, Kant, Nietzsche, and Schopenhauer, rationalism, utilitarianism, empiricism, and existentialism.

    It adopts the fairly traditional conception of metaphysics as a subject that deals with the deepest questions that can be raised concerning the fundamental structure ofreality as a whole. The book is divided into six main sections that address the following themes: identity and change, necessity and essence, causation, agency and events, space and time, and universals and particulars. It focuses on contemporary views and issues throughout, rather than on thehistory of metaphysics.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

    Barrett speaks eloquently and directly to concerns of the 1990s: a period when the irrational and the absurd are no better integrated than before and when humankind is in even greater danger of destroying its existence without ever understanding the meaning of its existence.Irrational Man begins by discussing the roots of existentialism in the art and thinking of Augustine, Aquinas, Pascal, Baudelaire, Blake, Dostoevski, Tolstoy, Hemingway, Picasso, Joyce, and Beckett. The heart of the book explains the views of the foremost existentialists--Kierkegaard, Nietzsche, Heidegger, and Sartre. The result is a marvelously lucid definition of existentialism and a brilliant interpretation of its impact.

    Notions like denumerability, modal scope distinction, Bayesian conditionalization, and logical completeness are usually only elucidated deep within difficultspecialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, Philosophical Devices is able to cover a wealth of material that is normally only available to specialists.The book contains four sections, each of three chapters. The first section is about sets and numbers, starting with the membership relation and ending with the generalized continuum hypothesis. The second is about analyticity, a prioricity, and necessity. The third is about probability, outliningthe difference between objective and subjective probability and exploring aspects of conditionalization and correlation. The fourth deals with metalogic, focusing on the contrast between syntax and semantics, and finishing with a sketch of Godel's theorem.Philosophical Devices will be useful for university students who have got past the foothills of philosophy and are starting to read more widely, but it does not assume any prior expertise. All the issues discussed are intrinsically interesting, and often downright fascinating. It can be read withpleasure and profit by anybody who is curious about the technical infrastructure of contemporary philosophy.

    In this rich and wide-ranging book, Terry Pinkard interweaves the story of "Germany"--changing during this period from a loose collection of principalities into a newly-emerged nation with a distinctive culture--with an examination of the currents and complexities of its developing philosophical thought. He examines the dominant influence of Kant, with his revolutionary emphasis on "self-determination," and traces this influence through the development of romanticism and idealism to the critiques of post-Kantian thinkers such as Schopenhauer and Kierkegaard. His book will interest a range of readers in the history of philosophy, cultural history and the history of ideas. Terry Pinkard is professor of Philosophy at Northwestern University and is the author of the acclaimed Hegel: A Biography (Cambridge, 2000). He is honorary Professor of the Philosophy Faculty of TUbingen University, Germany and serves on the advisory board for the Zeitschrift fUr Philosophique Forschung.

    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. Inspired by the myth of a man condemned to ceaselessly push a rock up a mountain and watch it roll back to the valley below, The Myth of Sisyphus transformed twentieth-century philosophy with its impassioned argument for the value of life in a world without religious meaning.

    Powers, Boston Globe. "Well-written, clear and informed, they have a breezy wit about them....I find them hard to stop reading."--Richard Bernstein, New York Times. "Witty, illuminating, and blessedly concise."--Jim Holt, Wall Street Journal. These brief and enlightening explorations of our greatest thinkers bring their ideas to life in entertaining and accessible fashion. Philosophical thought is deciphered and made comprehensive and interesting to almost everyone. Far from being a novelty, each book is a highly refined appraisal of the philosopher and his work, authoritative and clearly presented.