Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    Toxic ideas first spread by higher education have undermined humanistic values, fueled intolerance, and widened divisions in our larger culture. Students emerge into the working world believing that human beings are defined by their skin color, gender, and sexual preference, and that oppression based on these characteristics is the American experience. Speech that challenges these campus orthodoxies is silenced with brute force.The Diversity Delusion argues that the root of this problem is the belief in America's endemic racism and sexism. Diversity commissars denounce meritocratic standards as discriminatory, enforce hiring quotas, and teach students and adults alike to think of themselves as perpetual victims. The Diversity Delusion calls for a return to the classical liberal pursuits of open-minded inquiry and expression, by which everyone can discover a common humanity.

    Smoking has gone from doctor recommended to deadly. We used to think the Earth was the center of the universe and that Pluto was a planet. For decades, we were convinced that the brontosaurus was a real dinosaur. In short, what we know about the world is constantly changing.   But it turns out there’s an order to the state of knowledge, an explanation for how we know what we know. Samuel Arbesman is an expert in the field of scientometrics—literally the science of science. Knowl­edge in most fields evolves systematically and predict­ably, and this evolution unfolds in a fascinating way that can have a powerful impact on our lives.   Doctors with a rough idea of when their knowl­edge is likely to expire can be better equipped to keep up with the latest research. Companies and govern­ments that understand how long new discoveries take to develop can improve decisions about allocating resources. And by tracing how and when language changes, each of us can better bridge gen­erational gaps in slang and dialect.   Just as we know that a chunk of uranium can break down in a measurable amount of time—a radioactive half-life—so too any given field’s change in knowledge can be measured concretely. We can know when facts in aggregate are obsolete, the rate at which new facts are created, and even how facts spread.   Arbesman takes us through a wide variety of fields, including those that change quickly, over the course of a few years, or over the span of centuries. He shows that much of what we know consists of “mesofacts”—facts that change at a middle timescale, often over a single human lifetime. Throughout, he of­fers intriguing examples about the face of knowledge: what English majors can learn from a statistical analysis of The Canterbury Tales, why it’s so hard to measure a mountain, and why so many parents still tell kids to eat their spinach because it’s rich in iron.   The Half-life of Facts is a riveting journey into the counterintuitive fabric of knowledge. It can help us find new ways to measure the world while accepting the limits of how much we can know with certainty.

    It is often rational to act against our own best interests, he argues, and most of us have moralviews that are self-defeating. We often act wrongly, although we know there will be no one with serious grounds for complaint, and when we consider future generations it is very hard to avoid conclusions that most of us will find very disturbing.

    Why do we recognize patterns? Is there such a thing as positive stress? Are we genetically programmed to be in conflict with each other? Those are just some of the 150 questions that the world's best scientific minds answer with elegant simplicity.With contributions from Jared Diamond, Richard Dawkins, Nassim Taleb, Brian Eno, Steven Pinker, and more, everything is explained in fun, uncomplicated terms that make the most complex concepts easy to comprehend.

    First published in 1938, The Leviathan in the State Theory of Thomas Hobbes used the Enlightenment philosopher’s enduring symbol of the protective Leviathan to address the nature of modern statehood. A work that predicted the demise of the Third Reich and that still holds relevance in today’s security-obsessed society, this volume will be essential reading for students and scholars of political science. “Carl Schmitt is surely the most controversial German political and legal philosopher of this century. . . . We deal with Schmitt, against all odds, because history stubbornly persists in proving many of his tenets right.”—Perspectives on Political Science “[A] significant contribution. . . . The relation between Hobbes and Schmitt is one of the most important questions surrounding Schmitt: it includes a distinct, though occasionally vacillating, personal identification as well as an association of ideas.”—Telos

     His starting point is moral intuition—the nearly instantaneous perceptions we all have about other people and the things they do. These intuitions feel like self-evident truths, making us righteously certain that those who see things differently are wrong. Haidt shows us how these intuitions differ across cultures, including the cultures of the political left and right. He blends his own research findings with those of anthropologists, historians, and other psychologists to draw a map of the moral domain. He then examines the origins of morality, overturning the view that evolution made us fundamentally selfish creatures. But rather than arguing that we are innately altruistic, he makes a more subtle claim—that we are fundamentally groupish. It is our groupishness, he explains, that leads to our greatest joys, our religious divisions, and our political affiliations. In a stunning final chapter on ideology and civility, Haidt shows what each side is right about, and why we need the insights of liberals, conservatives, and libertarians to flourish as a nation.

    In its scope and itnerest it can be compared with Freud's Totem and Taboo, the subtext Girard refutes with polemic daring, vast erudition, and a persuasiveness that leaves the reader compelled to respond, one way or another.This is the single fullest summation of Girard's ideas to date, the book by which they will stand or fall. In a dialogue with two psychiatrists (Jean-Michel Oughourlian and Guy Lefort), Girard probes an encyclopedic array of topics, ranging across the entire spectrum of anthropology, psychoanalysis, and cultural production.Girard's point of departure is what he calles "mimesis," the conflict that arises when human rivals compete to differentiate themselves from each other, yet succeed only in becoming more and more alike. At certain points in the life of a society, according to Girard, this mimetic conflict erupts into a crisis in which all difference dissolves in indiscriminate violence. In primitive societies, such crises were resolved by the "scapegoating mechanism," in which the community, en masse, turned on an unpremeditated victim. The repression of this collective murder and its repetition in ritual sacrifice then formed the foundations of both religion and the restored social order.How does Christianity, at once the most "sacrificial" of religions and a faith with a non-violent ideology, fit into this scheme? Girard grants Freud's point, in Totem and Taboo, that Christianity is similar to primitive religion, but only to refute Freud—if Christ is sacrificed, Girard argues, it is not becuase God willed it, but because human beings wanted it.The book is not merely, or perhaps not mainly, biblical exegesis, for within its scope fall some of the most vexing problems of social history—the paradox that violence has social efficacy, the function of the scapegoat, the mechanism of anti-semitism.

    ASIN: 0312295170

    It introduces the analysis of the key elements of language--sounds, words, structures and meanings, and provides a solid foundation in all of the essential topics. The third edition has been extensively revised to include new sections on important contemporary issues in language study, including language and culture, African American English, sign language, and slang. A comprehensive glossary provides useful explanations of technical terms, and each chapter contains a range of new study questions and research tasks, with suggested answers.

    In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.

    In the last fifty years, we've zoomed through radically different forms of communication, from typewriters to tablet computers, text messages to tweets. We generate more and more words with each passing day. Hiding in that deluge of language are amazing insights into who we are, how we think, and what we feel.In The Secret Life of Pronouns, social psychologist and language expert James W. Pennebaker uses his groundbreaking research in computational linguistics-in essence, counting the frequency of words we use-to show that our language carries secrets about our feelings, our self-concept, and our social intelligence. Our most forgettable words, such as pronouns and prepositions, can be the most revealing: their patterns are as distinctive as fingerprints.Using innovative analytic techniques, Pennebaker X-rays everything from Craigslist advertisements to the Federalist Papers-or your own writing, in quizzes you can take yourself-to yield unexpected insights. Who would have predicted that the high school student who uses too many verbs in her college admissions essay is likely to make lower grades in college? Or that a world leader's use of pronouns could reliably presage whether he led his country into war? You'll learn why it's bad when politicians use "we" instead of "I," what Lady Gaga and William Butler Yeats have in common, and how Ebenezer Scrooge's syntax hints at his self-deception and repressed emotion. Barack Obama, Sylvia Plath, and King Lear are among the figures who make cameo appearances in this sprightly, surprising tour of what our words are saying-whether we mean them to or not.

    First published in essay form in 1956, it helped bring about a sea change in analytic philosophy. It broke the link, which had bound Russell and Ayer to Locke and Hume--the doctrine of knowledge by acquaintance. Sellars' attack on the Myth of the Given in Empiricism and the Philosophy of Mind was a decisive move in turning analytic philosophy away from the foundationalist motives of the logical empiricists and raised doubts about the very idea of epistemology.With an introduction by Richard Rorty to situate the work within the history of recent philosophy, and with a study guide by Robert Brandom, this publication of Empiricism and the Philosophy of Mind makes a difficult but indisputably significant figure in the development of analytic philosophy clear and comprehensible to anyone who would understand that philosophy or its history.

    A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.

    It is based on the best available texts and presents Descartes' central metaphysical writings in clear, readable modern English.