Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    The Archaeology of Knowledge begins at the level of “things aid” and moves quickly to illuminate the connections between knowledge, language, and action in a style at once profound and personal. A summing up of Foucault’s own methodological assumptions, this book is also a first step toward a genealogy of the way we live now. Challenging, at times infuriating, it is an absolutely indispensable guide to one of the most innovative thinkers of our time.

    With special emphasis on vision Searle explains how the raw phenomenology of perception sets the content and the conditions of satisfaction of experience. The central question concerns the relationbetween the subjective conscious perceptual field and the objective perceptual field. Everything in the objective field is either perceived or can be perceived. Nothing in the subjective field is perceived nor can be perceived precisely because the events in the subjective field consist of theperceivings, whether veridical or not, of the events in the objective field.Searle begins by criticizing the classical theories of perception and identifies a single fallacy, what he calls the Bad Argument, as the source of nearly all of the confusions in the history of the philosophy of perception. He next justifies the claim that perceptual experiences have presentationalintentionality and shows how this justifies the direct realism of his account. In the central theoretical chapters, he shows how it is possible that the raw phenomenology must necessarily determine certain form of intentionality. Searle introduces, in detail, the distinction between different levelsof perception from the basic level to the higher levels and shows the internal relation between the features of the experience and the states of affairs presented by the experience. The account applies not just to language possessing human beings but to infants and conscious animals. He alsodiscusses how the account relates to certain traditional puzzles about spectrum inversion, color and size constancy and the brain-in-the-vat thought experiments. In the final chapters he explains and refutes Disjunctivist theories of perception, explains the role of unconscious perception, andconcludes by discussing traditional problems of perception such as skepticism.

    Drawing inspiration from six of the finest minds in history - Socrates, Epicurus, Seneca, Montaigne, Schopenhauer and Nietzsche - he addresses lack of money, the pain of love, inadequacy, anxiety and conformity. De Botton's book led one critic to call philosophy 'the new rock and roll'.

    Written by Curie’s daughter, the renowned international activist Eve Curie, this biography chronicles Curie’s legendary achievements in science, including her pioneering efforts in the study of radioactivity and her two Nobel Prizes in Physics and Chemistry. It also spotlights her remarkable life, from her childhood in Poland, to her storybook Parisian marriage to fellow scientist Pierre Curie, to her tragic death from the very radium that brought her fame. Now updated with an eloquent, rousing introduction by best-selling author Natalie Angier, this timeless biography celebrates an astonishing mind and a extraordinary woman’s life.

    November 2015 is the 100th anniversary of Einstein’s discovery of the General Theory of Relativity.Levenson, head of MIT’s Science Writing Program, tells the captivating, unusual, and nearly-forgotten backstory behind Einstein’s invention of the Theory of Relativity, which completely changed the course of science forever. For over 50 years before Einstein developed his theory, the world’s top astronomers spent countless hours and energy searching for a planet, which came to be named Vulcan, that had to exist, it was thought, given Isaac Newton’s theories of gravity. Indeed, in the two centuries since Newton’s death, his theory had essentially become accepted as fact. It took Einstein’s genius to realize the mystery of the missing planet wasn’t a problem of measurements or math but of Newton’s theory of gravity itself. Einstein’s Theory of Relativity proved that Vulcan did not and could not exist, and that the decades-long search for it had merely been a quirk of operating under the wrong set of assumptions about the universe. Thomas Levenson tells this unique story, one of the strangest episodes in the history of science, with elegant simplicity, fast-paced drama, and lively characters sure to capture the attention of a wide group of readers.

    This lively journey through the great thinkers will enlighten every reader, young and old.

    Helplessness in the face of disease and human disaster helped to perpetuate this belief in magic and the supernatural. As Keith Thomas shows, England during these years resembled in many ways today's underdeveloped areas. The English population was exceedingly liable to pain, sickness, and premature death; many were illiterate; epidemics such as the bubonic plague plowed through English towns, at times cutting the number of London's inhabitants by a sixth; fire was a constant threat; the food supply was precarious; and for most diseases there was no effective medical remedy. In this fascinating and detailed book, Keith Thomas shows how magic, like the medieval Church, offered an explanation for misfortune and a means of redress in times of adversity. The supernatural thus had its own practical utility in daily life. Some forms of magic were challenged by the Protestant Reformation, but only with the increased search for scientific explanation of the universe did the English people begin to abandon their recourse to the supernatural. Science and technology have made us less vulnerable to some of the hazards which confronted the people of the past. Yet Religion and the Decline of Magic concludes that if magic is defined as the employment of ineffective techniques to allay anxiety when effective ones are not available, then we must recognize that no society will ever be free from it.

    The Cave and the Light is a magisterial account of how the two greatest thinkers of the ancient world, Plato and Aristotle, laid the foundations of Western culture—and how their rivalry shaped the essential features of our culture down to the present day.   Plato came from a wealthy, connected Athenian family and lived a comfortable upper-class lifestyle until he met an odd little man named Socrates, who showed him a new world of ideas and ideals. Socrates taught Plato that a man must use reason to attain wisdom, and that the life of a lover of wisdom, a philosopher, was the pinnacle of achievement. Plato dedicated himself to living that ideal and went on to create a school, his famed Academy, to teach others the path to enlightenment through contemplation.   However, the same Academy that spread Plato’s teachings also fostered his greatest rival. Born to a family of Greek physicians, Aristotle had learned early on the value of observation and hands-on experience. Rather than rely on pure contemplation, he insisted that the truest path to knowledge is through empirical discovery and exploration of the world around us. Aristotle, Plato’s most brilliant pupil, thus settled on a philosophy very different from his instructor’s and launched a rivalry with profound effects on Western culture.   The two men disagreed on the fundamental purpose of the philosophy. For Plato, the image of the cave summed up man’s destined path, emerging from the darkness of material existence to the light of a higher and more spiritual truth. Aristotle thought otherwise. Instead of rising above mundane reality, he insisted, the philosopher’s job is to explain how the real world works, and how we can find our place in it. Aristotle set up a school in Athens to rival Plato’s Academy: the Lyceum. The competition that ensued between the two schools, and between Plato and Aristotle, set the world on an intellectual adventure that lasted through the Middle Ages and Renaissance and that still continues today.   From Martin Luther (who named Aristotle the third great enemy of true religion, after the devil and the Pope) to Karl Marx (whose utopian views rival Plato’s), heroes and villains of history have been inspired and incensed by these two master philosophers—but never outside their influence.   Accessible, riveting, and eloquently written, The Cave and the Light provides a stunning new perspective on the Western world, certain to open eyes and stir debate.Praise for The Cave and the Light   “A sweeping intellectual history viewed through two ancient Greek lenses . . . breezy and enthusiastic but resting on a sturdy rock of research.”—Kirkus Reviews   “Examining mathematics, politics, theology, and architecture, the book demonstrates the continuing relevance of the ancient world.”—Publishers Weekly  “A fabulous way to understand over two millennia of history, all in one book.”—Library Journal  “Entertaining and often illuminating.”—The Wall Street JournalFrom the Hardcover edition.

    Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index

    Fritze investigates in Invented Knowledge.            This incredible exploration of the murky world of pseudo-history reveals the proven fact, the informed speculation, and the pure fiction behind lost continents, ancient super-civilizations, and conspiratorial cover-ups—as well as the revisionist historical foundations behind religions such as the Nation of Islam and the Church of Jesus Christ of the Latter-day Saints. Drawing on the best scholarship available, Fritze shows that in spite of strong, mainstream historical evidence to the contrary, many of these ideas have proved durable and gained widespread acceptance. As the examples in Invented Knowledge reveal, pseudo-historians capitalize on and exploit anomalies in evidence to support their claims, rather than examining the preponderance of research as a whole.            From Indiana Jones and the Kingdom of the Crystal Skull to 10,000 B.C., the sensationalist topics of pseudo-history captivate audiences and permeate popular culture. Invented Knowledge offers many entertaining and enthralling examples of spurious narratives, artificial chronologies, and ersatz theories in a book guaranteed to intrigue, open eyes, and spark conversation among readers—skeptics and believers alike.

    Evo Devo Evolutionary Developmental Biology is the new science that has finally cracked open the box. Within the pages of his rich and riveting book, Sean B. Carroll explains how we are discovering that complex life is ironically much simpler than anyone ever expected.

    In this rich and wide-ranging book, Terry Pinkard interweaves the story of "Germany"--changing during this period from a loose collection of principalities into a newly-emerged nation with a distinctive culture--with an examination of the currents and complexities of its developing philosophical thought. He examines the dominant influence of Kant, with his revolutionary emphasis on "self-determination," and traces this influence through the development of romanticism and idealism to the critiques of post-Kantian thinkers such as Schopenhauer and Kierkegaard. His book will interest a range of readers in the history of philosophy, cultural history and the history of ideas. Terry Pinkard is professor of Philosophy at Northwestern University and is the author of the acclaimed Hegel: A Biography (Cambridge, 2000). He is honorary Professor of the Philosophy Faculty of TUbingen University, Germany and serves on the advisory board for the Zeitschrift fUr Philosophique Forschung.

    Silver translates our most important, and often most obscure, scientific developments into a vernacular that is not only accessible and illuminating but also enjoyable. Silver makes his comprehensive case with much clarity and insight; his book aptly locates science as the apex of human reason, and reason as our best path to the truth. For all readers curious about--or else perhaps intimidated by--what Silver calls the scientific campaign up to now in his Preface, The Ascent of Science will be fresh, vivid, and fascinating reading.

    In the hands of one of today’s hottest young physicists, that simple fact of breakfast becomes a doorway to understanding the Big Bang, the universe, and other universes, too. In From Eternity to Here, Sean Carroll argues that the arrow of time, pointing resolutely from the past to the future, owes its existence to conditions before the Big Bang itself, a period modern cosmology of which Einstein never dreamed. Increasingly, though, physicists are going out into realms that make the theory of relativity seem like child’s play. Carroll’s scenario is not only elegant, it’s laid out in the same easy-to- understand language that has made his group blog, Cosmic Variance, the most popular physics blog on the Net. From Eternity to Here uses ideas at the cutting edge of theoretical physics to explore how properties of spacetime before the Big Bang can explain the flow of time we experience in our everyday lives. Carroll suggests that we live in a baby universe, part of a large family of universes in which many of our siblings experience an arrow of time running in the opposite direction. It’s an ambitious, fascinating picture of the universe on an ultra-large scale, one that will captivate fans of popular physics blockbusters like Elegant Universe and A Brief History of Time.