But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments. As a result, questioning the status quo long meant professional ruin. And yet, from the 1920s to today, physicists like John Bell, David Bohm, and Hugh Everett persisted in seeking the true meaning of quantum mechanics. What Is Real? is the gripping story of this battle of ideas and of the courageous scientists who dared to stand up for truth.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    His genius as an essayist lies in his unmatched ability to use his knowledge of the world, including popular culture, to illuminate the realm of science.Ever Since Darwin, Stephen Jay Gould's first book, has sold more than a quarter of a million copies. Like all succeeding collections by this unique writer, it brings the art of the scientific essay to unparalleled heights.

    He also looks at philosophical issues in particular sciences, including the problem of classification in biology, and the nature of space and time in physics. The final chapter touches on the conflicts between science and religion, and explores whether science is ultimately a good thing.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    "Shapin's account is informed, nuanced, and articulated with clarity. . . . This is not to attack or devalue science but to reveal its richness as the human endeavor that it most surely is. . . .Shapin's book is an impressive achievement."—David C. Lindberg, Science"Shapin has used the crucial 17th century as a platform for presenting the power of science-studies approaches. At the same time, he has presented the period in fresh perspective."—Chronicle of Higher Education"Timely and highly readable . . . A book which every scientist curious about our predecessors should read."—Trevor Pinch, New Scientist"It's hard to believe that there could be a more accessible, informed or concise account of how it [the scientific revolution], and we have come to this. The Scientific Revolution should be a set text in all the disciplines. And in all the indisciplines, too."—Adam Phillips, London Review of Books"Shapin's treatise on the currents that engendered modern science is a combination of history and philosophy of science for the interested and educated layperson."—Publishers Weekly"Superlative, accessible, and engaging. . . . Absolute must-reading."—Robert S. Frey, Bridges"This vibrant historical exploration of the origins of modern science argues that in the 1600s science emerged from a variety of beliefs, practices, and influences. . . . This history reminds us that diversity is part of any intellectual endeavor."—Choice"Most readers will conclude that there was indeed something dramatic enough to be called the Scientific Revolution going on, and that this is an excellent book about it."—Anthony Gottlieb, The New York Times Book Review

    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

    The Perennial Philosophy includes selections from Meister Eckhart, Rumi, and Lao Tzu, as well as the Bhagavad Gita, Tibetan Book of the Dead, Diamond Sutra, and Upanishads, among many others.

    In this masterly synthesis, Arthur Koestler cuts through the sterile distinction between 'sciences' and 'humanities' to bring to life the whole history of cosmology from the Babylonians to Newton. He shows how the tragic split between science and religion arose and how, in particular, the modern world-view replaced the medieval world-view in the scientific revolution of the seventeenth century. He also provides vivid and judicious pen-portraits of a string of great scientists and makes clear the role that political bias and unconscious prejudice played in their creativity.

    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.

    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

    Using Everett's unpublished papers (recently discovered in his son's basement) and dozens of interviews with his friends, colleagues, and surviving family members, Byrne paints, for the general reader, a detailed portrait of the genius who invented an astonishing way of describing our complex universe from the inside. Everett's mathematical model (called the "universal wave function") treats all possible events as "equally real," and concludes that countless copies of every person and thing exist in all possible configurations spread over an infinity of universes: many worlds. Afflicted by depression and addictions, Everett strove to bring rational order to the professional realms in which he played historically significant roles. In addition to his famous interpretation of quantum mechanics, Everett wrote a classic paper in game theory; created computer algorithms that revolutionized military operations research; and performed pioneering work in artificial intelligence for top secret government projects. He wrote the original software for targeting cities in a nuclear hot war; and he was one of the first scientists to recognize the danger of nuclear winter. As a Cold Warrior, he designed logical systems that modeled "rational" human and machine behaviors, and yet he was largely oblivious to the emotional damage his irrational personal behavior inflicted upon his family, lovers, and business partners. He died young, but left behind a fascinating record of his life, including correspondence with such philosophically inclined physicists as Niels Bohr, Norbert Wiener, and John Wheeler. These remarkable letters illuminate the long and often bitter struggle to explain the paradox of measurement at the heart of quantum physics. In recent years, Everett's solution to this mysterious problem-the existence of a universe of universes-has gained considerable traction in scientific circles, not as science fiction, but as an explanation of physical reality.

    Written for the non-scientist, Gaia is a journey through time and space in search of evidence with which to support a new and radically different model of our planet. In contrast to conventional belief that living matter is passive in the face of threats to its existence, the book explores the hypothesis that the earth's living matter-air, ocean, and land surfaces-forms a complex system that has the capacity to keep the Earth a fit place for life. Since Gaia was first published, many of Jim Lovelock's predictions have come true, and his theory has become a hotly argued topic in scientific circles. Here, in a new Preface, Lovelock outlines his present state of the debate.

    In this book, he expands the points he has made, and claims that this debate is not so much about religion versus science, as about the nature of science itself. With infectious enthusiasm, he reveals the mechanics of evolutionary theory, explains how it is rooted in the testable and verifiable scientific method, and why it is therefore a sound explanation of our beginning. He argues passionately that to continue to assert otherwise, to continue to insist that creationism has a place in the science classroom is harmful not only to our children, but to the future of the greater world as well.

    Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

    Eliade traces manifestations of the sacred from primitive to modern times in terms of space, time, nature, and the cosmos. In doing so he shows how the total human experience of the religious man compares with that of the nonreligious. This book of great originality and scholarship serves as an excellent introduction to the history of religion, but its perspective also encompasses philosophical anthropology, phenomenology, and psychology. It will appeal to anyone seeking to discover the potential dimensions of human existence.