Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic--for example, emotion--is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.

    Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.

    Loosely based on the form of Chaucer's Canterbury Tales, Dawkins's Tale takes us modern humans back through four billion years of life on our planet. As the pilgrimage progresses, we join with other organisms at the forty "rendezvous points" where we find a common ancestor. The band of pilgrims swells into a vast crowd as we join first with other primates, then with other mammals, and so on back to the first primordial organism.Dawkins's brilliant, inventive approach allows us to view the connections between ourselves and all other life in a bracingly novel way. It also lets him shed bright new light on the most compelling aspects of evolutionary history and theory: sexual selection, speciation, convergent evolution, extinction, genetics, plate tectonics, geographical dispersal, and more. The Ancestor's Tale is at once a far-reaching survey of the latest, best thinking on biology and a fascinating history of life on Earth. Here Dawkins shows us how remarkable we are, how astonishing our history, and how intimate our relationship with the rest of the living world.

    Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.Stephen Budiansky’s Journey to the Edge of Reason is the first biography to fully draw upon Gödel’s voluminous letters and writings—including a never-before-transcribed shorthand diary of his most intimate thoughts—to explore Gödel’s profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It also offers an intimate portrait of the scientific and intellectual circles in prewar Vienna, a haunting account of Gödel’s and Jewish intellectuals’ flight from Austria and Germany at the start of the Second World War, and a vivid re-creation of the early days of Princeton’s Institute for Advanced Study, where Gödel and Einstein both worked.Eloquent and insightful, Journey to the Edge of Reason is a fully realized portrait of the odd, brilliant, and tormented man who has been called the greatest logician since Aristotle, and illuminates the far-reaching implications of Gödel’s revolutionary ideas for philosophy, mathematics, artificial intelligence, and man’s place in the cosmos.

    We feel overwhelmed by the events around us, by injustice, by suffering, by an endless feeling of crisis. So, how can we nurture the parts of ourselves that hope, trust and believe in something better? And how can we stay sane in this age of division?In this powerful, uplifting plea for conscious optimism, Booker Prize-nominated novelist and activist Elif Shafak draws on her own memories and delves into the power of stories to bring us together. In the process, she reveals how listening to each other can nurture democracy, empathy and our faith in a kinder and wiser future.

    The Argumentative Indian is "a bracing sweep through aspects of Indian history and culture, and a tempered analysis of the highly charged disputes surrounding these subjects--the nature of Hindu traditions, Indian identity, the country's huge social and economic disparities, and its current place in the world" (Sunil Khilnani, Financial Times, U.K.).

    From moral ethics to the philosophies of religions, The Philosophy Book sheds a light on the famous ideas and thinkers from the ancient world through the present day. Including theories from Pythagoras to Voltaire and Mary Wollstonecraft to Noam Chomsky, The Philosophy Book offers anyone with an interest in philosophy an essential resource to the great philosophers and the views that have shaped our society.

    In this fable-like story three musicians from around the world are mysteriously summoned to Nashville, the Music City, to join together with Victor to do battle against the "Phasers," whose blinking "music-cancelling" headphones silence and destroy all musical sound. Only by coming together, connecting, and making the joyful sounds of immediate, "live" music can the world be restored to the power and spirit of music"--

    Taking us on a journey through every fundamental field of science, as well as the history of civilization, art, moral values, and the theory of political institutions, Deutsch tracks how we form new explanations and drop bad ones, explaining the conditions under which progress—which he argues is potentially boundless—can and cannot happen. Hugely ambitious and highly original, The Beginning of Infinity explores and establishes deep connections between the laws of nature, the human condition, knowledge, and the possibility for progress.

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    Sipser's candid, crystal-clear style allows students at every level to understand and enjoy this field. His innovative "proof idea" sections explain profound concepts in plain English. The new edition incorporates many improvements students and professors have suggested over the years, and offers updated, classroom-tested problem sets at the end of each chapter.

    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    

    Lewis’ magical land entered through that most important wardrobe in literary history. Beloved by generations of readers, The Chronicles of Narnia are thought, erroneously, by some to be “mere children’s stories.” In this volume, Pearce thoroughly debunks the error as he skillfully explains why there is nothing “mere” about such stories. Rather, the Narnia books contain profound insights concerning the human condition. Pearce, however, goes beyond even that and illuminates the deeper riches and profound truths found therein: the highest truths, in fact, those concerning God. Join Pearce as he explores the “grown-up” themes that are so important for a proper understanding of Lewis’ magnificent creation, including the deep and profound Christian symbolism, extensive literary allusions, and the constant theme of temptation, sin, and redemption. The author of numerous literary works and an authority on the writings of Lewis, Chesterton, and Tolkien, Pearce is uniquely qualified to examine the deeper theological, philosophical, and historical dimensions of the Chronicles. With Pearce as your guide, “return to Narnia,” and come to understand in new and profound ways that place which has so marked the imaginative landscape of so many. Rediscover your love for Narnia, because “wardrobes are for grown-ups too.”