It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Ranging from fundamental existential questions to the most pressing social issues of our time, This Life shows why our commitment to freedom and democracy should lead us beyond both religion and capitalism.In this groundbreaking book, the philosopher Martin Hägglund challenges our received notions of faith and freedom. The faith we need to cultivate, he argues, is not a religious faith in eternity but a secular faith devoted to our finite life together. He shows that all spiritual questions of freedom are inseparable from economic and material conditions. What ultimately matters is how we treat one another in this life, and what we do with our time together.Hägglund develops new existential and political principles while transforming our understanding of spiritual life. His critique of religion takes us to the heart of what it means to mourn our loved ones, be committed, and care about a sustainable world. His critique of capitalism demonstrates that we fail to sustain our democratic values because our lives depend on wage labor. In clear and pathbreaking terms, Hägglund explains why capitalism is inimical to our freedom, and why we should instead pursue a novel form of democratic socialism.In developing his vision of an emancipated secular life, Hägglund engages with great philosophers from Aristotle to Hegel and Marx, literary writers from Dante to Proust and Knausgaard, political economists from Mill to Keynes and Hayek, and religious thinkers from Augustine to Kierkegaard and Martin Luther King, Jr. This Life gives us new access to our past--for the sake of a different future.

      In this classic study, Caillois defines play as a free and voluntary activity that occurs in a pure space, isolated and protected from the rest of life. Play is uncertain, since the outcome may not be foreseen, and it is governed by rules that provide a level playing field for all participants. In its most basic form, play consists of finding a response to the opponent's action--or to the play situation--that is free within the limits set by the rules.   Caillois qualifies types of games-- according to whether competition, chance, simulation, or vertigo (being physically out of control) is dominant--and ways of playing, ranging from the unrestricted improvisation characteristic of children's play to the disciplined pursuit of solutions to gratuitously difficult puzzles. Caillois also examines the means by which games become part of daily life and ultimately contribute to various cultures their most characteristic customs and institutions.            Presented here in Meyer Barash's superb English translation, Man, Play and Games is a companion volume to Caillois's Man and the Sacred.

    When Walter Kaufmann wrote it in the immediate aftermath of World War II, most scholars outside Germany viewed Nietzsche as part madman, part proto-Nazi, and almost wholly unphilosophical. Kaufmann rehabilitated Nietzsche nearly single-handedly, presenting his works as one of the great achievements of Western philosophy.Responding to the powerful myths and countermyths that had sprung up around Nietzsche, Kaufmann offered a patient, evenhanded account of his life and works, and of the uses and abuses to which subsequent generations had put his ideas. Without ignoring or downplaying the ugliness of many of Nietzsche's proclamations, he set them in the context of his work as a whole and of the counterexamples yielded by a responsible reading of his books. More positively, he presented Nietzsche's ideas about power as one of the great accomplishments of modern philosophy, arguing that his conception of the will to power was not a crude apology for ruthless self-assertion but must be linked to Nietzsche's equally profound ideas about sublimation. He also presented Nietzsche as a pioneer of modern psychology and argued that a key to understanding his overall philosophy is to see it as a reaction against Christianity.Many scholars in the past half century have taken issue with some of Kaufmann's interpretations, but the book ranks as one of the most influential accounts ever written of any major Western thinker.

    Written in short, carefully numbered paragraphs of extreme brilliance, it captured the imagination of a generation of philosophers. For Wittgenstein, logic was something we use to conquer a reality which is in itself both elusive and unobtainable. He famously summarized the book in the following words: 'What can be said at all can be said clearly; and what we cannot talk about we must pass over in silence.' David Pears and Brian McGuinness received the highest praise for their meticulous translation. The work is prefaced by Bertrand Russell's original introduction to the first English edition.

    Vanity Fair's Proust Questionnaire

    In The Numbers Game, Chris Anderson, a former professional goalkeeper turned soccer statistics guru, teams up with behavioral analyst David Sally to uncover the numbers that really matter when it comes to predicting a winner. Investigating basic but profound questions—How valuable are corners? Which goal matters most? Is possession really nine-tenths of the law? How should a player’s value be judged?—they deliver an incisive, revolutionary new way of watching and understanding soccer.

    In addressing them, philosophers have made certain fundamental assumptions-that we can know our own minds by introspection, that most of our thinking about the world is literal, and that reason is disembodied and universal-that are now called into question by well-established results of cognitive science. It has been shown empirically that: Most thought is unconscious. We have no direct conscious access to the mechanisms of thought and language. Our ideas go by too quickly and at too deep a level for us to observe them in any simple way. Abstract concepts are mostly metaphorical. Much of the subject matter of philosophy, such as the nature of time, morality, causation, the mind, and the self, relies heavily on basic metaphors derived from bodily experience. What is literal in our reasoning about such concepts is minimal and conceptually impoverished. All the richness comes from metaphor. For instance, we have two mutually incompatible metaphors for time, both of which represent it as movement through space: in one it is a flow past us and in the other a spatial dimension we move along. Mind is embodied. Thought requires a body-not in the trivial sense that you need a physical brain to think with, but in the profound sense that the very structure of our thoughts comes from the nature of the body. Nearly all of our unconscious metaphors are based on common bodily experiences. Most of the central themes of the Western philosophical tradition are called into question by these findings. The Cartesian person, with a mind wholly separate from the body, does not exist. The Kantian person, capable of moral action according to the dictates of a universal reason, does not exist. The phenomenological person, capable of knowing his or her mind entirely through introspection alone, does not exist. The utilitarian person, the Chomskian person, the poststructuralist person, the computational person, and the person defined by analytic philosophy all do not exist. Then what does? Lakoff and Johnson show that a philosophy responsible to the science of mind offers radically new and detailed understandings of what a person is. After first describing the philosophical stance that must follow from taking cognitive science seriously, they re-examine the basic concepts of the mind, time, causation, morality, and the self: then they rethink a host of philosophical traditions, from the classical Greeks through Kantian morality through modern analytic philosophy. They reveal the metaphorical structure underlying each mode of thought and show how the metaphysics of each theory flows from its metaphors. Finally, they take on two major issues of twentieth-century philosophy: how we conceive rationality, and how we conceive language.

    Why do well-intentioned plans for improving the human condition go tragically awry?In this wide-ranging and original book, James C. Scott analyzes failed cases of large-scale authoritarian plans in a variety of fields. Centrally managed social plans misfire, Scott argues, when they impose schematic visions that do violence to complex interdependencies that are not—and cannot—be fully understood. Further, the success of designs for social organization depends upon the recognition that local, practical knowledge is as important as formal, epistemic knowledge. The author builds a persuasive case against "development theory" and imperialistic state planning that disregards the values, desires, and objections of its subjects. He identifies and discusses four conditions common to all planning disasters: administrative ordering of nature and society by the state; a "high-modernist ideology" that places confidence in the ability of science to improve every aspect of human life; a willingness to use authoritarian state power to effect large- scale interventions; and a prostrate civil society that cannot effectively resist such plans.

    . . alive and fascinating and provocative on every page."—Oliver Sacks, M.D.Porter's charting of the history of medicine affords readers the opportunity as never before to assess its culture and science and its costs and benefits to humankind. "A splendid and thoroughly engrossing book."--"L.A. Times." of illustrations.

    In The Paranoid Style in American Politics, acclaimed historian Richard Hofstadter examines the competing forces in American political discourse and how fringe groups can influence — and derail — the larger agendas of a political party. He investigates the politics of the irrational, shedding light on how the behavior of individuals can seem out of proportion with actual political issues, and how such behavior impacts larger groups. With such other classic essays as “Free Silver and the Mind of 'Coin' Harvey” and “What Happened to the Antitrust Movement?”, The Paranoid Style in American Politics remains both a seminal text of political history and a vital analysis of the ways in which political groups function in the United States."Recent months have witnessed an attack of unprecedented passion and ferocity against the national government. The Republican Party has apparently embarked on a crusade to destroy national standards, national projects, and national regulations and to transfer domestic governing authority from the national government to the states. A near majority of the Supreme Court even seems to want to replace the Constitution by the Articles of Confederation…"Unbridled rhetoric is having consequences far beyond anything that antigovernment politicians intend. The flow of angry words seems to have activated and in a sense legitimized what the historian Richard Hofstadter called the 'paranoid strain' in American politics." - Arthur Schlesinger, Jr., Wall Street Journal, June 7, 1995

    In building his case, Gould shows why the common assumption of an inescapable conflict between science and the humanities is false, mounts a spirited rebuttal to the ideas that his intellectual rival E. O. Wilson set forth in his book Consilience, and explains why the pursuit of knowledge must always operate upon the bedrock of nature' s randomness. The Hedgehog, the Fox, and the Magister’s Pox is a controversial discourse, rich with facts and observations gathered by one of the most erudite minds of our time.

    Accepting the increasingly widespread belief that industrialized culture inevitably erodes the natural world, Endgame sets out to explore how this relationship impels us towards a revolutionary and as-yet undiscovered shift in strategy. Building on a series of simple but increasingly provocative premises, Jensen leaves us hoping for what may be inevitable: a return to agrarian communal life via the disintegration of civilization itself.

    Theory and practice in the design of data graphics, 250 illustrations of the best (and a few of the worst) statistical graphics, with detailed analysis of how to display data for precise, effective, quick analysis. Design of the high-resolution displays, small multiples. Editing and improving graphics. The data-ink ratio. Time-series, relational graphics, data maps, multivariate designs. Detection of graphical deception: design variation vs. data variation. Sources of deception. Aesthetics and data graphical displays. This is the second edition of The Visual Display of Quantitative Information. Recently published, this new edition provides excellent color reproductions of the many graphics of William Playfair, adds color to other images, and includes all the changes and corrections accumulated during 17 printings of the first edition.