Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

    Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer)This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.

    Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic--for example, emotion--is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.

    ASIN: 0312295170

    It includes short gems from many of his teachings made popular in such books as The Art of Happiness and Ethics for the New Millennium, as well as on subjects such as religion, politics, peacework, and human rights.

    Author Manuel Velasquez combines clear prose and primary source readings to take you on a meaningful exploration of a range of philosophical topics, such as human nature, feminist theory, diversity, and aesthetics. Plus, the text's carefully crafted built-in learning aids will help you succeed in your course.

    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.

    It survives among us in half-forgotten patterns of behavior and in the vestiges of old ceremonies. Yet, Paul Woodruff says, we have lost sight of reverence. This short, elegiac volume makes an impassioned case for the fundamental importance of the forgotten virtue of reverence, and how awe for things greater than oneself can--indeed must--be a touchstone for other virtues like respect, humility, and charity. Ranging widely over diverse cultural terrain--from Philip Larkin to ancient Greek poetry, from modern politics to Chinese philosophy--Woodruff shows how absolutely essential reverence is to a well-functioning society. He tackles some thorny questions: How does reverence allow not only for leaders but for followers? What role does reverence play in religion? Do some religions misuse reverence? Must reverence be humorless? In the process, Woodruff shows convincingly how reverence plays an unseen part in virtually every human relationship. Elegantly written, thoughtful yet urgent, Reverence is sure to reach out to a wide variety of people interested in the moral health of Western culture, showing how our own intellectual and spiritual legacy can guide us more than we realize.

    The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.

    Strawson also shares with Montaigne a particular fascination with the elastic and elusive nature of the self and of consciousness. Of the essays collected here, "A Fallacy of Our Age" (an inspiration for Vendela Vida's novel Let the Northern Lights Erase Your Name) takes issue with the commencement-address cliche that life is a story. Strawson questions whether it is desirable or even meaningful to think about life that way. "The Sense of Self" offers an alternative account, in part personal, of how a distinct sense of self is not at all incompatible with a sense of the self as discontinuous, leading Strawson to a position that he sees as in some ways Buddhist. "Real Naturalism" argues that a fully naturalist account of consciousness supports a belief in the immanence of consciousness in nature as a whole (also known as panpsychism), while in the final essay Strawson offers a vivid account of coming of age in the 1960s. Drawing on literature and life as much as on philosophy, this is a book that prompts both argument and wonder.

    His book is a fresh look at the questions that occur to anyone who thinks deeply about these matters, questions about free will, self-determination, destiny, choice, and who are we anyway. I believe this is a “breakthrough book.” Robert’s style of writing about such ephemeral and difficult subjects as awareness and consciousness is honest, concise, and accurate. His ability to describe his experiences of living in a reality quite different from conventional ways of thinking is brilliantly unusual. On first encountering Robert Saltzman’s work, I am reminded of the same feelings of discovery, delight and excitement that I remember from meeting Alan Watts’ “The Wisdom of Insecurity”, Krishnamurti’s “Freedom from the Known,” and Chögyam Trungpa’s “Cutting Through Spiritual Materialism.” His clarity of mind shines brightly through every sentence in this book. His skill at making clear the most difficult ramifications and subtleties of awakened consciousness is so free of conventional cluttered thinking, so free of habitual phrases, so free of the taint of religious dogma and the conventional ways of speaking of such difficult matters, that this book stands out for me as an entirely fresh and illuminated exposition of awakened consciousness: an awakened understanding of what it is to be human. —Dr. Robert K. Hall

    That is, you've certainly heard of them. But do you know enough about them to join a dinner party debate or dazzle the bar with your knowledge? 30-Second Philosophies takes a revolutionary approach to getting a grip on the 50 most significant schools of philosophy. The book challenges leading thinkers to quit fretting about the meaning of meaning for a while and explain the most complex philosophical ideas-using nothing more than two pages, 300 words, and a metaphorical image. Here, in one unique volume, you have the chance to pick the potted brains of our leading philosophers and understand complex concepts such as Kant's Categorical Imerpative without ending up in a darkened room with an ice pack on your head.

    In a book that asks, "Is there an ethics of memory?" Avishai Margalit addresses a separate, perhaps more pressing, set of concerns.The idea he pursues is that the past, connecting people to each other, makes possible the kinds of "thick" relations we can call truly ethical. Thick relations, he argues, are those that we have with family and friends, lovers and neighbors, our tribe and our nation--and they are all dependent on shared memories. But we also have "thin" relations with total strangers, people with whom we have nothing in common except our common humanity. A central idea of the ethics of memory is that when radical evil attacks our shared humanity, we ought as human beings to remember the victims.Margalit's work offers a philosophy for our time, when, in the wake of overwhelming atrocities, memory can seem more crippling than liberating, a force more for revenge than for reconciliation. Morally powerful, deeply learned, and elegantly written, The Ethics of Memory draws on the resources of millennia of Western philosophy and religion to provide us with healing ideas that will engage all of us who care about the nature of our relations to others.

    Lawrence Becker argues that a secular version of the stoic ethical project, based on contemporary cosmology and developmental psychology, provides the basis for a sophisticated form of ethical naturalism, in which virtually all the hard doctrines of the ancient Stoics can be clearly restated and defended.Becker argues, in keeping with the ancients, that virtue is one thing, not many; that it, and not happiness, is the proper end of all activity; that it alone is good, all other things being merely rank-ordered relative to each other for the sake of the good; and that virtue is sufficient for happiness. Moreover, he rejects the popular caricature of the stoic as a grave figure, emotionally detached and capable mainly of endurance, resignation, and coping with pain. To the contrary, he holds that while stoic sages are able to endure the extremes of human suffering, they do not have to sacrifice joy to have that ability, and he seeks to turn our attention from the familiar, therapeutic part of stoic moral training to a reconsideration of its theoretical foundations.

    Topics discussed include dualism, behaviorism, the identity theory, functionalism, the computationaltheory of mind, connectionism, physicalism, mental causation, and consciousness. The text is enhanced by chapter summaries, a glossary, suggestions for further reading, and self-assessment questions.