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.

    Inspired by Einstein, Coltrane put physics and geometry at the core of his music. Physicist and jazz musician Stephon Alexander follows suit, using jazz to answer physics' most vexing questions about the past and future of the universe. Following the great minds that first drew the links between music and physics-a list including Pythagoras, Kepler, Newton, Einstein, and Rakim-The Jazz of Physics reveals that the ancient poetic idea of the Music of the Spheres," taken seriously, clarifies confounding issues in physics. The Jazz of Physics will fascinate and inspire anyone interested in the mysteries of our universe, music, and life itself.

    Half of all species could disappear by the end of the century, and scientists now concede that most of America’s endangered animals will survive only if conservationists keep rigging the world around them in their favor. So Mooallem ventures into the field, often taking his daughter with him, to move beyond childlike fascination and make those creatures feel more real. Wild Ones is a tour through our environmental moment and the eccentric cultural history of people and wild animals in America that inflects it—from Thomas Jefferson’s celebrations of early abundance to the turn-of the-last-century origins of the teddy bear to the whale-loving hippies of the 1970s. In America, Wild Ones discovers, wildlife has always inhabited the terrain of our imagination as much as the actual land.The journey is framed by the stories of three modern-day endangered species: the polar bear, victimized by climate change and ogled by tourists outside a remote northern town; the little-known Lange’s metalmark butterfly, foundering on a shred of industrialized land near San Francisco; and the whooping crane as it’s led on a months-long migration by costumed men in ultralight airplanes. The wilderness that Wild Ones navigates is a scrappy, disorderly place where amateur conservationists do grueling, sometimes preposterous-looking work; where a marketer maneuvers to control the polar bear’s image while Martha Stewart turns up to film those beasts for her show on the Hallmark Channel. Our most comforting ideas about nature unravel. In their place, Mooallem forges a new and affirming vision of the human animal and the wild ones as kindred creatures on an imperfect planet.With propulsive curiosity and searing wit, and without the easy moralizing and nature worship of environmental journalism’s older guard, Wild Ones merges reportage, science, and history into a humane and endearing meditation on what it means to live in, and bring a life into, a broken world.

    Yet despite logic's widely acknowledged importance, it remains an unbroken seal for many, due to its heavy use of jargon and mathematical symbolism.This book follows the historical development of logic, explains the symbols and methods involved and explores the philosophical issues surrounding the topic in an easy-to-follow and friendly manner. It will take you through the influence of logic on scientific method and the various sciences from physics to psychology, and will show you why computers and digital technology are just another case of logic in action.

    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.

    He proposes his solution.

    Taken literally, it implies that there are many universes “parallel” to the one we see around us. This multiplicity of universes, according to Deutsch, turns out to be the key to achieving a new worldview, one which synthesizes the theories of evolution, computation, and knowledge with quantum physics. Considered jointly, these four strands of explanation reveal a unified fabric of reality that is both objective and comprehensible, the subject of this daring, challenging book. The Fabric of Reality explains and connects many topics at the leading edge of current research and thinking, such as quantum computers (which work by effectively collaborating with their counterparts in other universes), the physics of time travel, the comprehensibility of nature and the physical limits of virtual reality, the significance of human life, and the ultimate fate of the universe. Here, for scientist and layperson alike, for philosopher, science-fiction reader, biologist, and computer expert, is a startlingly complete and rational synthesis of disciplines, and a new, optimistic message about existence.

    "A gem…An unforgettable account of one of the great moments in the history of human thought." —Steven PinkerProbing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

    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.

    Then, attempting to break a Nazi code during World War II, he successfully designed and built one, thus ensuring the Allied victory. Turing became a champion of artificial intelligence, but his work was cut short. As an openly gay man at a time when homosexuality was illegal in England, he was convicted and forced to undergo a humiliating "treatment" that may have led to his suicide.With a novelist's sensitivity, David Leavitt portrays Turing in all his humanity—his eccentricities, his brilliance, his fatal candor—and elegantly explains his work and its implications.

    But how does virality actually work? In The Rules of Contagion, epidemiologist Adam Kucharski explores topics including gun violence, online manipulation, and, of course, outbreaks of disease to show how much we get wrong about contagion, and how astonishing the real science is.Why did the president retweet a Mussolini quote as his own? Why do financial bubbles take off so quickly? And why are disinformation campaigns so effective? By uncovering the crucial factors driving outbreaks, we can see how things really spread -- and what we can do about it.Whether you are an author seeking an audience, a defender of truth, or simply someone interested in human social behavior, The Rules of Contagion is an essential guide to modern life.

    And every Star Trek fan knows about Klingon, which was nothing more than a television show's attempt to create a tough-sounding language befitting a warrior race with ridged foreheads. But few people have heard of Babm, Blissymbolics, and the nearly nine hundred other invented languages that represent the hard work, high hopes, and full-blown delusions of so many misguided souls over the centuries. In In The Land of Invented Languages, author Arika Okrent tells the fascinating and highly entertaining history of man's enduring quest to build a better language. Peopled with charming eccentrics and exasperating megalomaniacs, the land of invented languages is a place where you can recite the Lord's Prayer in John Wilkins's Philosophical Language, say your wedding vows in Loglan, and read Alice's Adventures in Wonderland in Lojban. A truly original new addition to the booming category of language books, In The Land of Invented Languages will be a must-have on the shelves of all word freaks, grammar geeks, and plain old language lovers.

    Gigabytes, exabytes (that’s one quintillion bytes) of data are sitting on servers across the world. So how can we start to access this explosion of information, this “big data,” and what can it tell us?   Erez Aiden and Jean-Baptiste Michel are two young scientists at Harvard who started to ask those questions. They teamed up with Google to create the Ngram Viewer, a Web-based tool that can chart words throughout the massive Google Books archive, sifting through billions of words to find fascinating cultural trends. On the day that the Ngram Viewer debuted in 2010, more than one million queries were run through it.   On the front lines of Big Data, Aiden and Michel realized that this big dataset—the Google Books archive that contains remarkable information on the human experience—had huge implications for looking at our shared human history. The tool they developed to delve into the data has enabled researchers to track how our language has evolved over time, how art has been censored, how fame can grow and fade, how nations trend toward war. How we remember and how we forget. And ultimately, how Big Data is changing the game for the sciences, humanities, politics, business, and our culture.

    The term "Liberty" is so commonly used in our country that it has become a mere cliche. But do we know what it means? What it promises? How it factors into our daily lives? And most importantly, can we recognize tyranny when it is sold to us disguised as a form of liberty? Dr. Paul writes that to believe in liberty is not to believe in any particular social and economic outcome. It is to trust in the spontaneous order that emerges when the state does not intervene in human volition and human cooperation. It permits people to work out their problems for themselves, build lives for themselves, take risks and accept responsibility for the results, and make their own decisions. It is the seed of America. This is a comprehensive guide to Dr. Paul's position on fifty of the most important issues of our times, from Abortion to Zionism. Accessible, easy to digest, and fearless in its discussion of controversial topics, Liberty Defined sheds new light on a word that is losing its shape.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.