Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book."—Los Angeles Times

    Have you ever found yourself alone with your thoughts? Have you ever been asked if the glass is half full or half empty? Do you wonder what true happiness is or how to attain it? Or maybe nothing really matters if everything is just an illusion or a dream? These ideas are some of the central questions of philosophical inquiry that have engaged, troubled and exasperated some of the greatest minds throughout the history of human civilization, provoking argument and debate in an attempt to broaden the horizons of human thought.Author Alain Stephen attempts to demystify some of these key questions by tracing their origins in the writings of prominent thinkers through the ages, from the colonnades of ancient Greece to the intellectual salons of twentieth-century France, and show how these ideas and concepts developed over time.Why We Think the Things We Think provides plenty of food for thought for both the amateur philosopher and enlightened thinker to digest.

    Gulled by a ‘realism’ that reassures them that political struggle is for anachronistic losers, their allegiances began to slide inexorably toward the ‘revolutionary’ forces of the market’s invisible hand, and they join the celebrants of a new order governed by boredom, impotence and envy…. As might be expected of Châtelet—mathematician, philosopher, militant gay activist, political polemicist, praised by contemporaries such as Deleuze and Badiou for his singularly penetrating philosophical mind—this is no mere lament for a bygone age. To Live and Think Like Pigs is the story of how the perverted legacy of liberalism, allied with statistical control and media communication, sought to knead Marx’s ‘free peasant’ into a statistical ‘average man’—pliant raw material for the cybernetic sausage-machine of postmodernity.Combining the incandescent wrath of the betrayed comrade with the acute discrimination of the mathematician-physicist, Châtelet proceeds to scrutinize the pseudoscientific alibis employed to naturalize ‘market democracy’. As he acerbically recounts, ‘chaos’, ‘emergence’, and the discourses of cybernetics and networks merely impart a futuristic sheen to Hobbesian ‘political arithmetic’ and nineteenth-century ‘social physics’—a tradition that places the individual at the center of its apolitical fairy-tales while stringently ignoring the inherently political process of individuation.When first published in 1998, Châtelet’s book was a fierce revolt against the ‘winter years’ and a mordant theory-science-fiction of the future portended by the reign of Reagan-Thatcher-Mitterand. Today its diagnoses seem extraordinarily prescient: the ‘triple alliance’ between politics, economics and cybernetics; the contrast between the self-satisfied ‘nomadism’ of a global overclass and the cultivated herds of ‘neurolivestock’ whose brains labour dumbly in cybernetic pastures; the arrogance of the ‘knights of finance’; and the limitless complacency and petty envy of middle-class dupes haplessly in thrall to household gods and openly hostile to the pursuit of a freedom that might require patience or labour. Mercantile empiricists and acrobat-intellectuals, fluid nomads and viscous losers, Robinsons on wheels, Turbo-Bécassines and Cyber-Gideons…Châtelet deploys a cast of grotesque ‘philosophical personae’ across a series of expertly-staged set-pieces: from Hobbes’s Leviathan to Wiener’s cybernetics; from the ecstasies of Parisian nightlife to the equilibrial dystopia of Singapore’s ‘yoghurt-maker’; from the mercantile empiricist for whom the state is a glorified watermelon-seller to the coy urbanite with a broken hairdryer; from the ‘petronomadic’ stasis of the traffic jam to the financier chasing the horizon of absolute volatility; from the demonization of cannabis to the fatuous celebration of ‘difference’.To Live and Think Like Pigs is both an uproarious portrait of the evils of the new world order, and a technical manual for its innermost ideological workings. Châtelet’s diagnosis of the ‘neoliberal counter-reformation’ is a significant moment in French political philosophy worthy to stand alongside Deleuze’s ‘Control Society’ and Foucault’s ‘liberal governmentality’. His book is crucial reading for any future politics that wants to replace individualism with an understanding of individuation, libertarianism with liberation, liquidity with plasticity, and the statistical average with the singular exception. Its appearance in translation is an important new contribution to contemporary debate on neoliberalism, economics and capitalist subjectivation.

    Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hiddenwithin one of the classic works of modern literature.Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G�del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, informationtheory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literallyunimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books.Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but alsoexposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

    

    Mathematics: The Loss of Certainty refutes that myth.

    A meld of history and science, this book is a group portrait of some of the greatest minds who ever lived as they wrestled with nature’s most sweeping mysteries. The answers they uncovered still hold the key to how we understand the world.At the end of the seventeenth century—an age of religious wars, plague, and the Great Fire of London—when most people saw the world as falling apart, these earliest scientists saw a world of perfect order. They declared that, chaotic as it looked, the universe was in fact as intricate and perfectly regulated as a clock. This was the tail end of Shakespeare’s century, when the natural land the supernatural still twined around each other. Disease was a punishment ordained by God, astronomy had not yet broken free from astrology, and the sky was filled with omens. It was a time when little was known and everything was new. These brilliant, ambitious, curious men believed in angels, alchemy, and the devil, and they also believed that the universe followed precise, mathematical laws—-a contradiction that tormented them and changed the course of history.The Clockwork Universe is the fascinating and compelling story of the bewildered geniuses of the Royal Society, the men who made the modern world.

    The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.

    In his fascinating new book, he writes with characteristic clarity and personal awareness as he sheds light on the mysteries of savants' incredible mental abilities, and our own. Tammet explains that the differences between savant and non-savant minds have been exaggerated; his astonishing capacities in memory, math and language are neither due to a cerebral supercomputer nor any genetic quirk, but are rather the results of a highly rich and complex associative form of thinking and imagination. Autistic thought, he argues, is an extreme variation of a kind that we all do, from daydreaming to the use of puns and metaphors."Embracing the Wide Sky" combines meticulous scientific research with Tammet's detailed descriptions of how his mind works to demonstrate the immense potential within us all. He explains how our natural intuitions can help us to learn a foreign language, why his memories are like symphonies, and what numbers and giraffes have in common. We also discover why there is more to intelligence than IQ, how optical illusions fool our brains, and why too much information can make you dumb.Many readers will be particularly intrigued by Tammet's original ideas concerning the genesis of genius and exceptional creativity. He illustrates his arguments with examples as diverse as the private languages of twins, the compositions of poets with autism, and the breakthroughs, and breakdowns, of some of history's greatest minds. "Embracing the Wide Sky" is a unique and brilliantly imaginative portrait of how we think, learn, remember and create, brimming with personal insights and anecdotes, and explanations of the most up-to-date, mind-bending discoveries from fields ranging from neuroscience to psychology and linguistics. This is a profound and provocative book that will transform our understanding and respect for every kind of mind.

    A genius who throughout his life solved complex mathematical calculations in his head, and a writer gifted with an inimitable style, Poincaré rose to the challenge of interpreting the philosophy of science to scientists and nonscientists alike. His lucid and welcoming prose made him the Carl Sagan of his time. This volume collects his three most important books: Science and Hypothesis (1903); The Value of Science (1905); and Science and Method (1908).

    Influenced by works such as Don Juan, and the novels of Kafka, these essays begin with a meditation on suicide: the question of living or not living in an absurd universe devoid of order or meaning. With lyric eloquence, Camus posits a way out of despair, reaffirming the value of personal existence, and the possibility of life lived with dignity and authenticity.

    What is the meaning of life? What was Hitler's religion? What's the deal with the Flying Spaghetti Monster? And what was Mother Teresa's dark secret? This book is highly recommended for everyone curious about America's most misunderstood minority, as well as for those who wish to better understand their atheist friends, neighbors or coworkers.

    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.

    His breaking of the German U-boat Enigma cipher in World War II ensured Allied-American control of the Atlantic. But Turing's vision went far beyond the desperate wartime struggle. Already in the 1930s he had defined the concept of the universal machine, which underpins the computer revolution. In 1945 he was a pioneer of electronic computer design. But Turing's true goal was the scientific understanding of the mind, brought out in the drama and wit of the famous "Turing test" for machine intelligence and in his prophecy for the twenty-first century.Drawn in to the cockpit of world events and the forefront of technological innovation, Alan Turing was also an innocent and unpretentious gay man trying to live in a society that criminalized him. In 1952 he revealed his homosexuality and was forced to participate in a humiliating treatment program, and was ever after regarded as a security risk. His suicide in 1954 remains one of the many enigmas in an astonishing life story.

    It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzlelike interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by analyzing Escher's notebooks." Visions of Symmetry includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. This new edition also features a foreward and an illustrated epilogue that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists.