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    How can today's computers perform such a bewildering variety of tasks if computing is just glorified arithmetic? The answer, as Martin Davis lucidly illustrates, lies in the fact that computers are essentially engines of logic. Their hardware and software embody concepts developed over centuries by logicians such as Leibniz, Boole, and Godel, culminating in the amazing insights of Alan Turing. The Universal Computer traces the development of these concepts by exploring with captivating detail the lives and work of the geniuses who first formulated them. Readers will come away with a revelatory understanding of how and why computers work and how the algorithms within them came to be.

    Sri K. Pattabhi Jois was such a soul, and through his teaching of yoga, he transformed the lives of countless people. The school in Mysore that he founded and ran for more than sixty years trained students who, through the knowledge they received and their devotion, have helped to spread the daily practice of traditional Ashtanga yoga to tens of thousands around the world.Guruji paints a unique portrait of a unique man, revealed through the accounts of his students. Among the thirty men and women interviewed here are Indian students from Jois's early teaching days; intrepid Americans and Europeans who traveled to Mysore to learn yoga in the 1970s; and important family members who studied as well as lived with Jois and continue to practice and teach abroad or run the Ashtanga Yoga Institute today. Many of the contributors (as well as the authors) are influential teachers who convey their experience of Jois every day to students in many different parts of the globe.Anyone interested in the living tradition of yoga will find Guruji richly rewarding.

    D. Williams wrote this entertaining, witty introduction for the nonscientist, game theory was still a somewhat mysterious subject familiar to very few scientists beyond those researchers, like himself, working for the military. Now, over thirty years after its original publication as a Rand Corporation research study, his light-hearted though thoroughly effective primer is the recognized classic introduction to an increasingly applicable discipline. Used by amateurs, professionals, and students throughout the world in the classroom, on the job, and for personal amusement, the book has been through ten printings, and has been translated into at least five languages (including Russian and Japanese).Revised, updated, and available for the first time in an inexpensive paperback edition, The Compleat Strategyst is a highly entertaining text essential for anyone interested in this provocative and engaging area of modern mathematics. In fully illustrated chapters complete with everyday examples and word problems, Williams offers readers a working understanding of the possible methods for selecting strategies in a variety of situations, simple to complex. With just a basic understanding of arithmetic, anyone can grasp all necessary aspects of two-, three-, four-, and larger strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.As research and study continues not only in this new discipline but in the related areas of statistics, probability and behavioral science, understanding of games, decision making, and the development of strategies will be increasingly important. In the areas of economics, sociology, politics, and the military, game theory is sure to have an even wider impact. For students and amateurs fascinated by game theory's implications there is no better, immediately applicable, or more entertaining introduction to the subject than this engaging text by the late J. D. Williams, Professor of Mathematics at Princeton University and a member of the Research Council of The Rand Corporation.

    Witty, contentious and passionate, it exposes the methods with which we avoid reasoned debate.

    Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic.The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_l...

    In 1935, aged 22, he developed the mathematical theory upon which all subsequent stored-program digital computers are modeled.At the outbreak of hostilities with Germany in September 1939, he joined the Government Codebreaking team at Bletchley Park, Buckinghamshire and played a crucial role in deciphering Engima, the code used by the German armed forces to protect their radio communications. Turing's work on the versionof Enigma used by the German navy was vital to the battle for supremacy in the North Atlantic. He also contributed to the attack on the cyphers known as Fish, which were used by the German High Command for the encryption of signals during the latter part of the war. His contribution helped toshorten the war in Europe by an estimated two years.After the war, his theoretical work led to the development of Britain's first computers at the National Physical Laboratory and the Royal Society Computing Machine Laboratory at Manchester University.Turing was also a founding father of modern cognitive science, theorizing that the cortex at birth is an unorganized machine which through training becomes organized into a universal machine or something like it. He went on to develop the use of computers to model biological growth, launchingthe discipline now referred to as Artificial Life.The papers in this book are the key works for understanding Turing's phenomenal contribution across all these fields. The collection includes Turing's declassified wartime Treatise on the Enigma; letters from Turing to Churchill and to codebreakers; lectures, papers, and broadcasts which opened upthe concept of AI and its implications; and the paper which formed the genesis of the investigation of Artifical Life.

    In this book, Anthony Chemero describes thisnonrepresentational approach (which he terms radical embodied cognitive science), puts it in historical and conceptual context, and applies it to traditional problemsin the philosophy of mind. Radical embodied cognitive science is a direct descendantof the American naturalist psychology of William James and John Dewey, and followsthem in viewing perception and cognition to be understandable only in terms ofaction in the environment. Chemero argues that cognition should be described interms of agent-environment dynamics rather than in terms of computation andrepresentation. After outlining this orientation to cognition, Chemero proposes amethodology: dynamical systems theory, which would explain things dynamically andwithout reference to representation. He also advances a background theory: Gibsonianecological psychology, "shored up" and clarified. Chemero then looks atsome traditional philosophical problems (reductionism, epistemological skepticism, metaphysical realism, consciousness) through the lens of radical embodied cognitivescience and concludes that the comparative ease with which it resolves theseproblems, combined with its empirical promise, makes this approach to cognitivescience a rewarding one. "Jerry Fodor is my favorite philosopher," Chemerowrites in his preface, adding, "I think that Jerry Fodor is wrong about nearlyeverything." With this book, Chemero explains nonrepresentational, dynamical, ecological cognitive science as clearly and as rigorously as Jerry Fodor explainedcomputational cognitive science in his classic work The Language ofThought.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.

    The focus of this book is on logical fallacies, which loosely defined, are simply errors in reasoning. With the reading of each page, you can make significant improvements in the way you reason and make decisions. "Expose an irrational belief, keep a man rational for a day. Expose irrational thinking, and keep a man rational for a lifetime." - Bo Bennett

    But it is also a terrifically engrossing exploration and exploitation of self-reflection, self-absorption, full-blown narcissism, and the impulse to write about oneself. In a world awash with memoirs and tell-alls, Shields has created something unique: he invites the reader into his mind as he turns his life into a narrative. With moving and often hilarious candor, Shields ruminates on a variety of subjects, all while exploring the impulse to confess, to use oneself as an autobiographical subject, to make one's life into a work of art.Shields explores the connections between fiction and nonfiction, stuttering and writing, literary forms and literary contents, art and life; he confronts bad reviews of his earlier books; he examines why he read a college girlfriend's journal; he raids a wide range of cultural figures (from Rousseau, Nabokov, and Salinger to Bill Murray, Adam Sandler, and Bobby Knight) for what they have to tell him about himself; he quotes a speech he wrote on the occasion of his father's ninetieth birthday and then gives us the guilt-induced dream he had when he failed to deliver the speech; he also writes about basketball and sexuality and Los Angeles and Seattle, but he is always meditating on the origins of his interest in autobiography, on the limits and appeals of autobiography, on the traps and strategies of it, and finally, how to use it to get to the world.The result is a collection of poetically charged self-reflections that reveal deep truths about ourselves as well.

    ca. 165), a convert to Christianity from traditional Greek religion. The Dialogue purports to be a two-day dialogue that took place in Asia Minor between Justin and Trypho, a Hellenized Jew. Justin argues extensively on the basis of lengthy Old Testament quotations that Christ is the Messiah and God incarnate, and that the Christian community is the new Israel. In the beginning of the work Justin recounts how he converted to Christianity.The Dialogue remains of great, and varying, interest. It has important information on the development of Jewish-Christian relations, on the development of the text of the Old Testament, and on the existence and character of the early Jewish Christian community. Justin's story of how he became a Christian is one of our earliest conversion accounts. The Dialogue is an ideal textbook for classes investigating the development of religion in Late Antiquity since it touches on many aspects of religion in the Roman Empire.This edition of the Dialogue with Trypho is a revision of Thomas B. Falls's translation, which appeared in Fathers of the Church, vol. 6. Thomas P. Halton has emended the translation in light of the 1997 critical edition by Miroslav Marcovich, and he has provided extensive annotation to recent scholarship on the Dialogue. Michael Slusser has edited the volume to bring it into conformity with the new Selections from Fathers of the Church series.ABOUT THE TRANSLATOR:Thomas P. Halton is Professor Emeritus of Greek and Latin at the Catholic University of America. He has served as the general editor of the Fathers of the Church series since 1983.

    Winner of the prestigious William James Book Award, THE PSYCHOLOGY OF JUDGMENT AND DECISION MAKING is an informative and engaging introduction to the field written in a style that is equally accessible to the introductory psychology student, the lay person, or the professional. A unique feature of this volume is the Reader Survey which readers are to complete before beginning the book. The questions in the Reader Survey are drawn from many of the studies discussed throughout the book, allowing readers to compare their answers with the responses given by people in the original studies. This title is part of The McGraw-Hill Series in Social Psychology.

    Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premises and primitive ideas, establishing that mathematics is a development of logic. This abridged text of Volume I contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics (more advanced students will of course wish to refer to the complete edition). It contains the whole of the preliminary sections (which present the authors' justification of the philosophical standpoint adopted at the outset of their work); the whole of Part I (in which the logical properties of propositions, propositional functions, classes and relations are established); section A of Part II (dealing with unit classes and couples); and Appendices A and C (which give further developments of the argument on the theory of deduction and truth functions).