But scientists in the late 20th century have found patterns in things formerly thought to be chaotic; their theories help explain the unstable irregular yet highly structured features of everyday experience. It now seems likely that randomness and chaos play an essential role in the evolution of the living world-and of intelligence itself. Script by Dr. Roger White.

    After meeting with Americans on extensive travels in the United States, and intense study of documents and authorities, he authored the landmark Democracy in America, publishing its two volumes in 1835 and 1840. Ever since, this book has been the best source for every serious attempt to understand America and democracy itself. Yet Tocqueville himself remains a mystery behind the elegance of his style. Now one of our leading authorities on Tocqueville explains him in this splendid new entry in Oxford's acclaimed Very Short Introduction series. Harvey Mansfield addresses his subject as a thinker, clearly and incisively exploring Tocqueville's writings--not only his masterpiece, but also his secret Recollections, intended for posterity alone, and his unfinished work on his native France, The Old Regime and the Revolution. Tocqueville was a liberal, Mansfield writes, but not of the usual sort. The many elements of his life found expression in his thought: his aristocratic ancestry, his ventures in politics, his voyages abroad, his hopes and fears for America, and his disappointment with France. All his writings show a passion for political liberty and insistence on human greatness. Perhaps most important, he saw liberty not in theories, but in the practice of self-government in America. Ever an opponent of abstraction, he offered an analysis that forces us to consider what we actually do in our politics--suggesting that theory itself may be an enemy of freedom. And that, Mansfield writes, makes him a vitally important thinker for today. Translator of an authoritative edition of Democracy in America, Harvey Mansfield here offers the fruit of decades of research and reflection in a clear, insightful, and marvelously compact introduction.

    . . a most valuable contribution." — Douglas R. Hofstadter, author of Gödel, Escher, BachThe foundations of game theory were laid by John von Neumann, who in 1928 proved the basic minimax theorem, and with the 1944 publication of the Theory of Games and Economic Behavior, the field was established. Since then, game theory has become an enormously important discipline because of its novel mathematical properties and its many applications to social, economic, and political problems.Game theory has been used to make investment decisions, pick jurors, commit tanks to battle, allocate business expenses equitably — even to measure a senator's power, among many other uses. In this revised edition of his highly regarded work, Morton Davis begins with an overview of game theory, then discusses the two-person zero-sum game with equilibrium points; the general, two-person zero-sum game; utility theory; the two-person, non-zero-sum game; and the n-person game.A number of problems are posed at the start of each chapter and readers are given a chance to solve them before moving on. (Unlike most mathematical problems, many problems in game theory are easily understood by the lay reader.) At the end of the chapter, where solutions are discussed, readers can compare their "common sense" solutions with those of the author. Brimming with applications to an enormous variety of everyday situations, this book offers readers a fascinating, accessible introduction to one of the most fruitful and interesting intellectual systems of our time.

    C. Escher and composer Johann Sebastian Bach, discussing common themes in their work and lives. At a deeper level, the book is a detailed and subtle exposition of concepts fundamental to mathematics, symmetry, and intelligence. Through illustration and analysis, the book discusses how self-reference and formal rules allow systems to acquire meaning despite being made of "meaningless" elements. It also discusses what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of "meaning" itself. In response to confusion over the book's theme, Hofstadter has emphasized that GEB is not about mathematics, art, and music but rather about how cognition and thinking emerge from well-hidden neurological mechanisms.

    Method and Processes of Approach to a New Concept of Life -For a while he trampled with impunity on laws human and divine but, as he was obsessed with the delusion that two and two makes five, he fell, at last a victim to the relentless rules of humble Arithmetic. -Remember, O stranger, Arithmetic is the first of the sciences and the mother of safety.- --Brandeis It is the aim of this little book to point the way to a new science and art-the science and art of Human Engineering. By Human Engineering I mean the science and art of directing the energies and capacities of human beings to the advancement of human weal. It need not be argued in these times that the establishment of such a science-the science of human welfare-is an undertaking of immeasurable importance. No one can fail to see that its importance is supreme. It is evident that, if such a science is to be established it must be founded on ascertained facts-it must accord with what is characteristic of Man-it must be based upon a just conception of what Man is-upon a right understanding of Man's place in the scheme of Nature. No one need be told how indispensable it is to have true ideas-just concepts-correct notions-of the things with which we humans have to deal; everyone knows for example, that to mistake solids for surfaces or lines would wreck the science and art of geometry; anyone knows that to confuse fractions with whole numbers would wreck the science and art of arithmetic; everyone knows that to mistake vice for virtue would destroy the foundation of ethics; everyone knows that to mistake a desert mirage for a lake of fresh water does but lure the fainting traveler to dire disappointment or death. Now, it is perfectly clear that of all the things with which human beings have to deal, the most important by far is Man himself-humankind-men, women and children. It follows that for us human beings nothing else can be quite so important as a clear, true, just, scientific concept of Man-a right understanding of what we as human beings really are. For it requires no great wisdom, it needs only a little reflection, to see that, if we humans radically misconceive the nature of man-if we regard man as being something which he is not, whether it be something higher than man or lower-we thereby commit an error so fundamental and far reaching as to produce every manner of confusion and disaster in individual life, in community life and in the life of the race. The question we have, therefore, to consider first of all is fundamentally: What is Man? What is a man? What is a human being? What is the defining or characteristic mark of humanity?

    40 illustrations throughout.

    Looking at the efforts of philosophers from the Enlightenment through the twentieth century, Putnam traces the ways in which ethical problems arise in a historical context. Hilary Putnam's central concern is ontology--indeed, the very idea of ontology as the division of philosophy concerned with what (ultimately) exists. Reviewing what he deems the disastrous consequences of ontology's influence on analytic philosophy--in particular, the contortions it imposes upon debates about the objective of ethical judgments--Putnam proposes abandoning the very idea of ontology. He argues persuasively that the attempt to provide an ontological explanation of the objectivity of either mathematics or ethics is, in fact, an attempt to provide justifications that are extraneous to mathematics and ethics--and is thus deeply misguided.

    Everything in Its Place is a celebration of Sacks's myriad interests, all told with his characteristic compassion, erudition, and luminous prose. From the celebrated case history of Spalding Gray that appeared in The New Yorker four months before his death to reflections on mental asylums; from piercing accounts of Schizophrenia to a reminiscence of Robin Williams; from the riveting tale of a medical colleague falling victim to Alzheimer's to the cinematography of Michael Powell, this volume celebrates and reflects the wondrous curiosity of Oliver Sacks.

    Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

    Along the way we’ll learn how selection bias can explain why your boss doesn’t know he sucks (even when everyone else does); how to use Bayes’ Theorem to decide if your partner is cheating on you; and why Mark Zuckerberg should never be used as an example for anything. See the world in a whole new light, and make better decisions and judgements without ever going near a t-test. Think. Think Statistically.

    Covers the key historical developments and philosophical themes and topics that have impacted upon our scientific view of the world around us Introduces fundamental conceptual issues, including truth, empirical facts and philosophical/conceptual "facts," falsifiability, and instrumentalism /realism Analyzes the transition from the Aristotelian worldview to the Newtonian worldview Explores challenges to our own western worldview brought on by developments in twentieth-century science, most notably relativity theory and quantum theory

    His previous books, including the Pulitzer Prize finalist The Blank Slate, have catapulted him into the limelight as one of today's most important and popular science writers. Now, in The Stuff of Thought, Pinker marries two of the subjects he knows best: language and human nature. The result is a fascinating look at how our words explain our nature. What does swearing reveal about our emotions? Why does innuendo disclose something about relationships? Pinker reveals how our use of prepositions and tenses taps into peculiarly human concepts of space and time, and how our nouns and verbs speak to our notions of matter. Even the names we give our babies have important things to say about our relations to our children and to society. With his signature wit and style, Pinker takes on scientific questions like whether language affects thought, as well as forays into everyday life: why is bulk e-mail called spam and how do romantic comedies get such mileage out of the ambiguities of dating? The Stuff of Thought is a brilliantly crafted and highly readable work that will appeal to fans of readers of everything from The Selfish Gene and Blink to Eats, Shoots & Leaves.

    Here, in one of the most important and fascinating books of his career, Aldous Huxley uses his tremendous knowledge of human relations to compare the modern-day world with his prophetic fantasy. He scrutinizes threats to humanity, such as overpopulation, propaganda, and chemical persuasion, and explains why we have found it virtually impossible to avoid them. Brave New World Revisited is a trenchant plea that humankind should educate itself for freedom before it is too late. Brave New World Revisted (first published in 1958) is not a reissue or revision of 0060850523 Brave New World. Brave New World is a novel, whereas Brave New World Revisted is a nonfiction exploration of the themes in Brave New World.

    Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation — Classical Theory; Fourier Approximation — Modern Theory; and Exponential Approximation.

    It offers a fascinating analysis of the works of Copernicus, Kepler, Galileo, Descartes, Hobbes, Gilbert, Boyle and Newton.