And it is ignorance--not knowledge--that is the true engine of science.Most of us have a false impression of science as a surefire, deliberate, step-by-step method for finding things out and getting things done. In fact, says Firestein, more often than not, science is like looking for a black cat in a dark room, and there may not be a cat in the room. The processis more hit-or-miss than you might imagine, with much stumbling and groping after phantoms. But it is exactly this not knowing, this puzzling over thorny questions or inexplicable data, that gets researchers into the lab early and keeps them there late, the thing that propels them, the verydriving force of science. Firestein shows how scientists use ignorance to program their work, to identify what should be done, what the next steps are, and where they should concentrate their energies. And he includes a catalog of how scientists use ignorance, consciously or unconsciously--aremarkable range of approaches that includes looking for connections to other research, revisiting apparently settled questions, using small questions to get at big ones, and tackling a problem simply out of curiosity. The book concludes with four case histories--in cognitive psychology, theoreticalphysics, astronomy, and neuroscience--that provide a feel for the nuts and bolts of ignorance, the day-to-day battle that goes on in scientific laboratories and in scientific minds with questions that range from the quotidian to the profound.Turning the conventional idea about science on its head, Ignorance opens a new window on the true nature of research. It is a must-read for anyone curious about science.

    The Collapse of Complex Societies, though written by an archaeologist, will therefore strike a chord throughout the social sciences. Any explanation of societal collapse carries lessons not just for the study of ancient societies, but for the members of all such societies in both the present and future. Dr. Tainter describes nearly two dozen cases of collapse and reviews more than 2000 years of explanations. He then develops a new and far-reaching theory that accounts for collapse among diverse kinds of societies, evaluating his model and clarifying the processes of disintegration by detailed studies of the Roman, Mayan and Chacoan collapses.

    There are updates throughout the book as well. These take into account important advances in cognitive psychology and the science of design while confirming and extending the book's basic thesis: that a physical symbol system has the necessary and sufficient means for intelligent action. The chapter "Economic Reality" has also been revised to reflect a change in emphasis in Simon's thinking about the respective roles of organizations and markets in economic systems."People sometimes ask me what they should read to find out about artificial intelligence. Herbert Simon's book The Sciences of the Artificial is always on the list I give them. Every page issues a challenge to conventional thinking, and the layman who digests it well will certainly understand what the field of artificial intelligence hopes to accomplish. I recommend it in the same spirit that I recommend Freud to people who ask about psychoanalysis, or Piaget to those who ask about child psychology: If you want to learn about a subject, start by reading its founding fathers." -- George A. Miller

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    This implies that life depends sensitively on the physics of our universe. Does this "fine-tuning" of the universe suggest that a creator god intentionally calibrated the initial conditions of the universe such that life on earth and the evolution of humanity would eventually emerge? In his in-depth and highly accessible discussion of this fascinating and controversial topic, the author looks at the evidence and comes to the opposite conclusion. He finds that the observations of science and our naked senses not only show no evidence for God, they provide evidence beyond a reasonable doubt that God does not exist.

    But in recent years, a startling new concept has evolved that places it more firmly than ever in a special position. Known as the Anthropic Cosmological Principle, this collection of ideas holds that the existence of intelligent observers determines the fundamental structure of the Universe. In its most radical version, the Anthropic Principle asserts that intelligent information-processing must come into existence in the Universe, and once it comes into existence, it will never die out. This wide-ranging and detailed book explores the many ramifications of the Anthropic Cosmological Principle, covering the whole spectrum of human inquiry from Aristotle to Z bosons. Bringing a unique combination of skills and knowledge to the subject, John D. Barrow and Frank J. Tipler--two of the world's leading cosmologists--cover the definition and nature of life, the search for extraterrestrial intelligence, and the interpretation of the quantum theory in relation to the existence of observers. The book will be of vital interest to philosophers, theologians, mathematicians, scientists, and historians, as well as to anyone concerned with the connection between the vastness of the universe of stars and galaxies and the existence of life within it on a small planet out in the suburbs of the Milky Way.

    Topics include electrical work and energy in a system of conductors, mechanical action between two electrical systems, spherical harmonics, electric current, conduction and resistance, electrolysis, and other subjects. 1891 edition.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    Bueno de Mesquita uses game theory and its insights into human behavior to predict and even engineer political, financial, and personal events. His forecasts, which have been employed by everyone from the CIA to major business firms, have an amazing 90 percent accuracy rate, and in this dazzling and revelatory book he shares his startling methods and lets you play along in a range of high-stakes negotiations and conflicts.Revealing the origins of game theory and the advances made by John Nash, the Nobel Prize—winning scientist perhaps best known from A Beautiful Mind, Bueno de Mesquita details the controversial and cold-eyed system of calculation that he has since created, one that allows individuals to think strategically about what their opponents want, how much they want it, and how they might react to every move. From there, Bueno de Mesquita games such events as the North Korean disarmament talks and the Middle East peace process and recalls, among other cases, how he correctly predicted which corporate clients of the Arthur Andersen accounting firm were most likely engaged in fraudulent activity (hint: one of them started with an E). And looking as ever to the future, Bueno de Mesquita also demonstrates how game theory can provide successful strategies to combat both global warming (instead of relying on empty regulations, make nations compete in technology) and terror (figure out exactly how much U.S. aid will make Pakistan fight the Taliban).But as Bueno de Mesquita shows, game theory isn’t just for saving the world. It can help you in your own life, whether you want to succeed in a lawsuit (lawyers argue too much the merits of the case and question too little the motives of their opponents), elect the CEO of your company (change the system of voting on your board to be more advantageous to your candidate), or even buy a car (start by knowing exactly what you want, call every dealer in a fifty-mile radius, and negotiate only over the phone).Savvy, provocative, and shockingly effective, The Predictioneer’s Game will change how you understand the world and manage your future. Life’s a game, and how you play is whether you win or lose.

    This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

    Providing coverage of the principles and practices of quantitative chemistry, this book includes applications throughout industry, medicine, and the sciences.

     "Provocative, original, and unsettling." -- The New York Review of Books "An excellent writer, a creative thinker." -- Nature

    A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how today's theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, the book describes the majestic sweep and accomplishments of twentieth-century physics. In the end, we stand in awe before the grand vision of modern physics--one of the greatest chapters in the intellectual history of humankind.

    After marrying a marquis at the age of eighteen, she proceeded to fulfill the prescribed-and delightfully frivolous-role of a French noblewoman of her time. But she also challenged it, conducting a highly visible affair with a commoner, writing philosophical works, and translating Newton's Principia while pregnant by a younger lover. With the sweep of Galileo's Daughter, Emilie Du Châtelet captures the charm, glamour, and brilliance of this magnetic woman.