Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    The author investigates these issues with regard to animal communication, child language and the language of adults, and provides references and suggestions for further reading.;The book has been substantially revised, in particular taking account of the considerable changes in Chomsky's recent ideas. As a result, the chapters on grammatical innateness, child language acquisition and speech comprehension have been largely rewritten.

    But now, acclaimed linguist Guy Deutscher has dared to reopen the issue. Can culture influence language —and vice versa? Can different languages lead their speakers to different thoughts? Could our experience of the world depend on whether our language has a word for "blue"?Challenging the consensus that the fundaments of language are hard-wired in our genes and thus universal, Deutscher argues that the answer to all these questions is—yes. In thrilling fashion, he takes us from Homer to Darwin, from Yale to the Amazon, from how to name the rainbow to why Russian water —a "she"— becomes a "he" once you dip a tea bag into her, demonstrating that language does in fact reflect culture in ways that are anything but trivial.

    In a work free of technical language and jargon, Andrew Fisher covers the main ideas that have shaped metaethics from the work of G.E. Moore to the latest thinking. Written specifically for students new to this subject, Metaethics assumes no prior philosophical knowledge. It also highlights ways to avoid common errors, offers hints and tips on learning the subject, includes a glossary of core terms, and provides guidance for further study.

    Mirroring his theory, Minsky boldly casts The Society of Mind as an intellectual puzzle whose pieces are assembled along the way. Each chapter -- on a self-contained page -- corresponds to a piece in the puzzle. As the pages turn, a unified theory of the mind emerges, like a mosaic. Ingenious, amusing, and easy to read, The Society of Mind is an adventure in imagination.

    In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    It shows how causality has grown from a nebulous concept into a mathematical theory with significant applications in the fields of statistics, artificial intelligence, philosophy, cognitive science, and the health and social sciences. Pearl presents a unified account of the probabilistic, manipulative, counterfactual and structural approaches to causation, and devises simple mathematical tools for analyzing the relationships between causal connections, statistical associations, actions and observations. The book will open the way for including causal analysis in the standard curriculum of statistics, artifical intelligence, business, epidemiology, social science and economics. Students in these areas will find natural models, simple identification procedures, and precise mathematical definitions of causal concepts that traditional texts have tended to evade or make unduly complicated. This book will be of interest to professionals and students in a wide variety of fields. Anyone who wishes to elucidate meaningful relationships from data, predict effects of actions and policies, assess explanations of reported events, or form theories of causal understanding and causal speech will find this book stimulating and invaluable. Professor of Computer Science at the UCLA, Judea Pearl is the winner of the 2008 Benjamin Franklin Award in Computers and Cognitive Science.

    Examines modern critical theory, feminism, and psychoanalysis, and discusses the modern concept of sex roles and the political aspect of human sexuality.

    Dennett has engaged questions about science and the workings of the mind. His answers have combined rigorous argument with strong empirical grounding. And a lot of fun.Intuition Pumps and Other Tools for Thinking offers seventy-seven of Dennett’s most successful "imagination-extenders and focus-holders" meant to guide you through some of life’s most treacherous subject matter: evolution, meaning, mind, and free will. With patience and wit, Dennett deftly deploys his thinking tools to gain traction on these thorny issues while offering readers insight into how and why each tool was built.Alongside well-known favorites like Occam’s Razor and reductio ad absurdum lie thrilling descriptions of Dennett’s own creations: Trapped in the Robot Control Room, Beware of the Prime Mammal, and The Wandering Two-Bitser. Ranging across disciplines as diverse as psychology, biology, computer science, and physics, Dennett’s tools embrace in equal measure light-heartedness and accessibility as they welcome uninitiated and seasoned readers alike. As always, his goal remains to teach you how to "think reliably and even gracefully about really hard questions."A sweeping work of intellectual seriousness that’s also studded with impish delights, Intuition Pumps offers intrepid thinkers—in all walks of life—delicious opportunities to explore their pet ideas with new powers.

    While fueling extraordinary advances in all fields of human endeavor, this vision perpetuated a hidden yet persistent agenda: the delusion that human nature and society could be fitted into precise and manageable rational categories. Stephen Toulmin confronts that agenda—its illusions and its consequences for our present and future world."By showing how different the last three centuries would have been if Montaigne, rather than Descartes, had been taken as a starting point, Toulmin helps destroy the illusion that the Cartesian quest for certainty is intrinsic to the nature of science or philosophy."—Richard M. Rorty, University of Virginia"[Toulmin] has now tackled perhaps his most ambitious theme of all. . . . His aim is nothing less than to lay before us an account of both the origins and the prospects of our distinctively modern world. By charting the evolution of modernity, he hopes to show us what intellectual posture we ought to adopt as we confront the coming millennium."—Quentin Skinner, New York Review of Books

    Bell suggests that the answer is yes."Everyone interested in anorexia nervosa . . . should skim this book or study it. It will make you realize how dependent upon culture the definition of disease is. I will never look at an anorexic patient in the same way again."—Howard Spiro, M.D., Gastroenterology"[This] book is a first-class social history and is well-documented both in its historical and scientific portions."—Vern L. Bullough, American Historical Review"A significant contribution to revisionist history, which re-examines events in light of feminist thought. . . . Bell is particularly skillful in describing behavior within its time and culture, which would be bizarre by today's norms, without reducing it to the pathological."—Mary Lassance Parthun, Toronto Globe and Mail"Bell is both enlightened and convincing. His book is impressively researched, easy to read, and utterly fascinating."—Sheila MacLeod, New Statesman

    In Becoming Evil, social psychologist James Waller uncovers the internal and external factors that can lead ordinary people to commit extraordinary acts of evil. Waller debunks the common explanations for genocide- group think, psychopathology, unique cultures- and offers a more sophisticated and comprehensive psychological view of how anyone can potentially participate in heinous crimes against humanity. He outlines the evolutionary forces that shape human nature, the individual dispositions that are more likely to engage in acts of evil, and the context of cruelty in which these extraordinary acts can emerge. Illustrative eyewitness accounts are presented at the end of each chapter. An important new look at how evil develops, Becoming Evil will help us understand such tragedies as the Holocaust and recent terrorist events. Waller argues that by becoming more aware of the things that lead to extraordinary evil, we will be less likely to be surprised by it and less likely to be unwitting accomplices through our passivity.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Counterfactuals is David Lewis' forceful presentation of and sustained argument for a particular view about propositions which express contrary to fact conditionals, including his famous defense of realism about possible worlds.