Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

    He turns out to be a bird who discusses maths with anyone who will listen. So when Mr Ruche learns of his friend's mysterious death in the rainforests of Brazil he decides that with the parrot's help he will use these books to teach Max and his twin brother and sister the mysteries and wonders of numbers and shapes.But soon it becomes clear that Mr Ruche has inherited the library for reasons other than pure enlightenment, and before he knows it the household are caught up in a race to prevent the vital theorems falling into the wrong hands.Charming, fresh, with a narrative which races along, the novel takes the reader on a delightful journey through the history of mathematics.

    Through incisive, morally engaging conversations with some of the leading political figures, writers, activists, poets, and scholars at work today, the Journal captured the essence of the past three pivotal years in American life and politics, including the final act of the Bush Administration and the early years of Obama.Now, Bill Moyers Journal: The Conversation Continues brings this groundbreaking work to the page. From Michael Pollan, David Simon, and Jane Goodall to John Grisham, Karen Armstrong, and Barbara Ehrenreich, Bill Moyers Journal: The Conversation Continues introduces the ideas that matter today—on subjects as diverse as the politics of food, race in the age of Obama, aging in America, the power of poetry, wars in the Middle East and Afghanistan, the conflict over gay marriage, and the fate of the American newspaper.With extensive new commentary from Bill Moyers—in the tradition of his national bestsellers A World of Ideas and Healing and the Mind—here is an unparalleled guide to the debates, the cultural currents, and above all the fascinating people who have so powerfully shaped the world we live in.

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    Today, it is the most common form of officially classified mental illness. Scott Stossel gracefully guides us across the terrain of an affliction that is pervasive yet too often misunderstood. Drawing on his own long-standing battle with anxiety, Stossel presents an astonishing history, at once intimate and authoritative, of the efforts to understand the condition from medical, cultural, philosophical, and experiential perspectives. He ranges from the earliest medical reports of Galen and Hippocrates, through later observations by Robert Burton and Søren Kierkegaard, to the investigations by great nineteenth-century scientists, such as Charles Darwin, William James, and Sigmund Freud, as they began to explore its sources and causes, to the latest research by neuroscientists and geneticists. Stossel reports on famous individuals who struggled with anxiety, as well as on the afflicted generations of his own family. His portrait of anxiety reveals not only the emotion’s myriad manifestations and the anguish anxiety produces but also the countless psychotherapies, medications, and other (often outlandish) treatments that have been developed to counteract it. Stossel vividly depicts anxiety’s human toll—its crippling impact, its devastating power to paralyze—while at the same time exploring how those who suffer from it find ways to manage and control it. My Age of Anxiety is learned and empathetic, humorous and inspirational, offering the reader great insight into the biological, cultural, and environmental factors that contribute to the affliction.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

    What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.

    Contributors include Steven Weinberg, Peter Galison, John Maynard Smith, and Frank Wilczek.

    Numbers and the Making of Us is a sweeping account of how numbers radically enhanced our species' cognitive capabilities and sparked a revolution in human culture. Caleb Everett brings new insights in psychology, anthropology, primatology, linguistics, and other disciplines to bear in explaining the myriad human behaviors and modes of thought numbers have made possible, from enabling us to conceptualize time in new ways to facilitating the development of writing, agriculture, and other advances of civilization.Number concepts are a human invention--a tool, much like the wheel, developed and refined over millennia. Numbers allow us to grasp quantities precisely, but they are not innate. Recent research confirms that most specific quantities are not perceived in the absence of a number system. In fact, without the use of numbers, we cannot precisely grasp quantities greater than three; our minds can only estimate beyond this surprisingly minuscule limit.Everett examines the various types of numbers that have developed in different societies, showing how most number systems derived from anatomical factors such as the number of fingers on each hand. He details fascinating work with indigenous Amazonians who demonstrate that, unlike language, numbers are not a universal human endowment. Yet without numbers, the world as we know it would not exist.

    Sweeping through the centuries from ancient Babylon right up to the latest hi-tech experiments in genetics and particle physics, Fara's book also ranges internationally, challenging notions of European superiority by emphasizing the importance of scientific projects based around the world, including revealing discussions of China and the Islamic Empire alongside the more familiar stories about Copernicus's sun-centered astronomy, Newton's gravity, and Darwin's theory of evolution.We see for instance how Muslim leaders encouraged science by building massive libraries, hospitals, and astronomical observatories and we rediscover the significance of medieval Europe--long overlooked--where, surprisingly, religious institutions ensured science's survival, as the learning preserved in monasteries was subsequently developed in new and unique institutions: universities. Instead of focussing on esoteric experiments and abstract theories, she explains how science belongs to the practical world of war, politics, and business. And rather than glorifying scientists as idealized heroes, she tells true stories about real people--men (and some women) who needed to earn their living, who made mistakes, and who trampled down their rivals.

    It can also mean the humbler tools of everyday cooking and eating: a wooden spoon and a skillet, chopsticks and forks.Since prehistory, humans have braved sharp knives, fire, and grindstones to transform raw ingredients into something delicious - or at least edible. Tools shape what we eat, but they have also transformed how we consume, and how we think about, our food. Technology in the kitchen does not just mean the Pacojets and sous-vide of the modernist kitchen. It can also mean the humbler tools of everyday cooking and eating: a wooden spoon and a skillet, chopsticks and forks. In Consider the Fork, award-winning food writer Bee Wilson provides a wonderful and witty tour of the evolution of cooking around the world, revealing the hidden history of everyday objects we often take for granted. Knives - perhaps our most important gastronomic tool - predate the discovery of fire, whereas the fork endured centuries of ridicule before gaining widespread acceptance; pots and pans have been around for millennia, while plates are a relatively recent invention. Many once-new technologies have become essential elements of any well-stocked kitchen - mortars and pestles, serrated knives, stainless steel pots, refrigerators. Others have proved only passing fancies, or were supplanted by better technologies; one would be hard pressed now to find a water-powered egg whisk, a magnet-operated spit roaster, a cider owl, or a turnspit dog. Although many tools have disappeared from the modern kitchen, they have left us with traditions, tastes, and even physical characteristics that we would never have possessed otherwise. Blending history, science, and anthropology, Wilson reveals how our culinary tools and tricks came to be, and how their influence has shaped modern food culture. The story of how we have tamed fire and ice and wielded whisks, spoons, and graters, all for the sake of putting food in our mouths, Consider the Fork is truly a book to savor.

    Writing with marvelous brio, Winchester first serves up a lightning history of the English language--"so vast, so sprawling, so wonderfully unwieldy"--and pays homage to the great dictionary makers, from "the irredeemably famous" Samuel Johnson to the "short, pale, smug and boastful" schoolmaster from New Hartford, Noah Webster. He then turns his unmatched talent for story-telling to the making of this most venerable of dictionaries. In this fast-paced narrative, the reader will discover lively portraits of such key figures as the brilliant but tubercular first editor Herbert Coleridge (grandson of the poet), the colorful, boisterous Frederick Furnivall (who left the project in a shambles), and James Augustus Henry Murray, who spent a half-century bringing the project to fruition. Winchester lovingly describes the nuts-and-bolts of dictionary making--how unexpectedly tricky the dictionary entry for marzipan was, or how fraternity turned out so much longer and monkey so much more ancient than anticipated--and how bondmaid was left out completely, its slips found lurking under a pile of books long after the B-volume had gone to press. We visit the ugly corrugated iron structure that Murray grandly dubbed the Scriptorium--the Scrippy or the Shed, as locals called it--and meet some of the legion of volunteers, from Fitzedward Hall, a bitter hermit obsessively devoted to the OED, to W.C. Minor, whose story is one of dangerous madness, ineluctable sadness, and ultimate redemption. The Meaning of Everything is a scintillating account of the creation of the greatest monument ever erected to a living language. Simon Winchester's supple, vigorous prose illuminates this dauntingly ambitious project--a seventy-year odyssey to create the grandfather of all word-books, the world's unrivalled uber-dictionary.

    In Are Numbers Real?, Brian Clegg explores the way that math has become more and more detached from reality, and yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity, to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader’s eyes to the hidden reality of the strange yet familiar entities that are numbers.

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.