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.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    It is precisely because of the unreliability of vision, of memory, of wanting to believe, of induced belief ... that the Sufis say that an objective perception must be acquired before even familiar things can be seen as they are. "Seeker After Truth" goes beyond the familiar "first do this, then do that" style of handbook, transporting the reader to new ranges of perception, according to his or her capacity. Among the many assumptions questioned are: the objective worth of deep emotional feelings; the superiority of man's social habits over those of rats, and the origin of those habits; the evils of deceit ... The magazine Literary Review said about it: "This book ... is food for many different kinds of study - a book unlike anything our society has produced until recently, in its richness, its unexpectedness, its capacity to shock us into seeing ourselves as others see us, both personally and as a society."

    But Vidal was also a terrific conversationalist; indeed Dick Cavett once described him as “the best talker since Oscar Wilde.” Vidal was never more eloquent, or caustic, than when let loose on his favorite topic: the history and politics of the United States.This book is made up from four interviews conducted with his long-time interlocutor, the writer and radio host Jon Wiener, in which Vidal grapples with matters evidently close to his heart: the history of the American Empire, the rise of the National Security State, and his own life in politics, both as a commentator and candidate.The interviews cover a twenty-year span, from 1988 to 2008, when Vidal was at the height of his powers. His extraordinary facility for developing an argument, tracing connections between past and present, and drawing on an encyclopedic knowledge of America’s place in the world, are all on full display. And, of course, it being Gore Vidal, an ample sprinkling of gloriously acerbic one-liners is also provided.

    

    The theory of karma is intellectually intriguing, but a practical understanding of how karma works can help us find hope and happiness in our lives. Eknath Easwaran is a foremost translator and interpreter of the Indian classics (the Bhagavad Gita, the Upanishads and the Dhammapada), and a highly respected teacher of meditation. This short ebook is one chapter from his forthcoming "Essence of the Dhammapada: The Buddha's Call to Nirvana."

    In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    Quine's areas of interest are panoramic, as this lively book amply demonstrates.Moving from A (alphabet) to Z (zero), Quiddities roams through more than eighty topics, each providing a full measure of piquant thought, wordplay, and wisdom, couched in easy and elegant prose--"Quine at his unbuttoned best," in Donald Davidson's words. Philosophy, language, and mathematics are the subjects most fully represented; tides of entries include belief, communication, free will, idiotisms, longitude and latitude, marks, prizes, Latin pronunciation, tolerance, trinity. Even the more technical entries are larded with homely lore, anecdote, and whimsical humor.Quiddities will be a treat for admirers of Quine and for others who like to think, who care about language, and who enjoy the free play of intellect on topics large and small. For this select audience, it is an ideal book for browsing.

    George Feuerstein has drawn short, memorable quotations from the key texts of this five-thousand-year-old legacy, with an emphasis on the wisdom of modern yoga masters.The quotations have been selected and arranged to address the needs of yoga practitioners in the twenty-first century.Among the many themes touched on in this treasure of a book: the process of inner growth; the value of silence; how to meditate; how to infuse everyday life with joy; universal kinship; overcoming suffering; dealing with grief, loss, anger, and jealousy; remembering and cultivating one’s true inner self; developing self-discipline; and bringing out the good in all you say and do.For both new and experienced yoga students alike, Yoga Gems is the perfect travel companion on the road to inner peace.

    The book has been designed to offer maximal accessibility to the widest range of students (not only those majoring in philosophy) and assumes no formal training in elementary symbolic logic. It offers a comprehensive course covering all basic definitions of induction and probability, and considers such topics as decision theory, Bayesianism, frequency ideas, and the philosophical problem of induction. The key features of the book are: * A lively and vigorous prose style* Lucid and systematic organization and presentation of the ideas* Many practical applications* A rich supply of exercises drawing on examples from such fields as psychology, ecology, economics, bioethics, engineering, and political science* Numerous brief historical accounts of how fundamental ideas of probability and induction developed.* A full bibliography of further reading Although designed primarily for courses in philosophy, the book could certainly be read and enjoyed by those in the social sciences (particularly psychology, economics, political science and sociology) or medical sciences such as epidemiology seeking a reader-friendly account of the basic ideas of probability and induction. Ian Hacking is University Professor, University of Toronto. He is Fellow of the Royal Society of Canada, Fellow of the British Academy, and Fellow of the American Academy of Arts and Sciences. he is author of many books including five previous books with Cambridge (The Logic of Statistical Inference, Why Does Language Matter to Philosophy?, The Emergence of Probability, Representing and Intervening, and The Taming of Chance).

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    William Glasser details the choice theory-a science of human behaviors and principles for regaining and maintaining internal control-and the role it can play in helping you regain your personal freedom and choice. "Take Charge of Your Life, " a revision of his 1984 book, "Control Theory, " includes choice-theory applications. He explains choice theory using personal examples and illustrative stories that allow you to learn how to improve your relationships and take charge of your actions. Topics include marital and relationship problems, parenthood, alcoholism, diseases, and psychosomatic disorders. For each situation discussed, Glasser ties behavior to the pictures of what people want in their heads. He explains how the pictures got there and how people can choose new behaviors to get what they really want. In "Take Charge of Your Life, " Glasser offers a real model of empowerment. He shows how you can become a part of the equation that adds happiness and connection to the world in which you live now and to the world of future generations.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    It covered jazz, of course, but it also included Davis’s ruminations on race, politics and culture. Fascinated, Hef sent the writer—future Pulitzer-Prize-winning author Alex Haley, an unknown at the time—back to glean even more opinion and insight from Davis. The resulting exchange, published in the September 1962 issue, became the first official Playboy Interview and kicked off a remarkable run of public inquisition that continues today—and that has featured just about every cultural titan of the last half century.To celebrate the Interview’s 50th anniversary, the editors of Playboy have culled 50 of its most (in)famous Interviews and will publish them over the course of 50 weekdays (from September 4, 2012 to November 12, 2012) via Amazon’s Kindle Direct platform. Here is the interview with the novelist and philosopher Ayn Rand from the March 1964 issue.