Part I describes questions and issues about mathematics that have motivated philosophers since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in the thought of such philosophers as Plato, Aristotle, Kant, and Mill. Part III covers the three major positions held throughout the twentieth century: the idea that mathematics is logic (logicism), the view that the essence of mathematics is the rule-governed manipulation of characters (formalism), and a revisionist philosophy that focuses on the mental activity of mathematics (intuitionism). Finally, Part IV brings the reader up-to-date with a look at contemporary developments within the discipline.This sweeping introductory guide to the philosophy of mathematics makes these fascinating concepts accessible to those with little background in either mathematics or philosophy.

    Monk's life of Wittgenstein is such a one."--"The Christian Science Monitor."

    In it, Berger and Luckmann reformulate the task of the sociological subdicipline that, since Max Scheler, has been known as the sociology of knowledge.

    The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

    In her study of the state of modern humanity, Hannah Arendt considers humankind from the perspective of the actions of which it is capable. The problems Arendt identified then--diminishing human agency and political freedom; the paradox that as human powers increase through technological and humanistic inquiry, we are less equipped to control the consequences of our actions—continue to confront us today.

    Why does half a conversation make us more curious than a whole conversation? In the ever-fascinating Why? Mario Livio interviewed scientists in several fields to explore the nature of curiosity. He examined the lives of two of history’s most curious geniuses, Leonardo da Vinci and Richard Feynman. He also talked to people with boundless curiosity: a superstar rock guitarist who is also an astrophysicist; an astronaut with degrees in computer science, biology, literature, and medicine. What drives these people to be curious about so many subjects? Curiosity is at the heart of mystery and suspense novels. It is essential to other forms of art, from painting to sculpture to music. It is the principal driver of basic scientific research. Even so, there is still no definitive scientific consensus about why we humans are so curious, or about the mechanisms in our brain that are responsible for curiosity. Mario Livio—an astrophysicist who has written about mathematics, biology, and now psychology and neuroscience—explores this irresistible subject in a lucid, entertaining way that will captivate anyone who is curious about curiosity.

    With humor and insight, Melissa Mohr takes readers on a journey to discover how "swearing" has come to include both testifying with your hand on the Bible and calling someone a *#$&!* when they cut you off on the highway. She explores obscenities in ancient Rome and unearths the history of religious oaths in the Middle Ages, when swearing (or not swearing) an oath was often a matter of life and death. Holy Sh*t also explains the advancement of civility and corresponding censorship of language in the 18th century, considers the rise of racial slurs after World War II, examines the physiological effects of swearing and answers a question that preoccupies the FCC, the US Senate, and anyone who has recently overheard little kids at a playground: are we swearing more now than people did in the past?A gem of lexicography and cultural history, Holy Sh*t is a serious exploration of obscenity.

    It is many years since a major work in English has ranged so widely over philosophy's fundamental concerns: the identity of the self, knowledge and skepticism, free will, the question of why there is something rather than nothing, the foundations of ethics, the meaning of life.Writing in a distinctive and personal philosophical voice, Mr. Nozick presents a new mode of philosophizing. In place of the usual semi-coercive philosophical goals of proof, of forcing people to accept conclusions, this book seeks philosophical explanations and understanding, and thereby stays truer to the original motivations for being interested in philosophy.Combining new concepts, daring hypotheses, rigorous reasoning, and playful exploration, the book exemplifies how philosophy can be part of the humanities.

    It is also the focal point of current attempts to understand 18th-century philosophy. The Treatise first explains how we form such concepts as cause and effect, external existence, and personal identity, and to form compelling but unconfirmable beliefs in the entities represented by these concepts. It then offers a novel account of the passions, explains freedom and necessity as they apply to human choices and actions, and concludes with detailed explanations of how we distinguish between virtue and vice and of the different kinds of virtue. Hume's Abstract of the Treatise, also included in the volume, outlines his 'chief argument' regarding our conception of, and belief in, cause and effect. The texts printed in this volume are those of the critical edition of Hume's philosophical works now being published by the Clarendon Press. The volume includes a substantial introduction explaining the aims of the Treatise as a whole and of each of its ten parts, extensive annotations, a glossary of terms, a comprehensive index, and suggestions for further reading.

    This book explores the realm of human behavior in social situations and the way that we appear to others. Dr. Goffman uses the metaphor of theatrical performance as a framework. Each person in everyday social intercourse presents himself and his activity to others, attempts to guide and control the impressions they form of him, and employs certain techniques in order to sustain his performance, just as an actor presents a character to an audience. The discussions of these social techniques offered here are based upon detailed research and observation of social customs in many regions.

    The book traces the intellectual underpinnings of the two groups in the writings of Herbert Marcuse and Norman O. Brown, Allan Ginsberg and Paul Goodman.

    From moral ethics to the philosophies of religions, The Philosophy Book sheds a light on the famous ideas and thinkers from the ancient world through the present day. Including theories from Pythagoras to Voltaire and Mary Wollstonecraft to Noam Chomsky, The Philosophy Book offers anyone with an interest in philosophy an essential resource to the great philosophers and the views that have shaped our society.

    A fun and fascinating look at great scientific paradoxes.   Throughout history, scientists have come up with theories and ideas that just don't seem to make sense.  These we call paradoxes.  The paradoxes Al-Khalili offers are drawn chiefly from physics and astronomy and represent those that have stumped some of the finest minds.  For example, how can a cat be both dead and alive at the same time?  Why will Achilles never beat a tortoise in a race, no matter how fast he runs?  And how can a person be ten years older than his twin?   With elegant explanations that bring the reader inside the mind of those who've developed them, Al-Khalili helps us to see that, in fact, paradoxes can be solved if seen from the right angle.  Just as surely as Al-Khalili narrates the enduring fascination of these classic paradoxes, he reveals their underlying logic.  In doing so, he brings to life a select group of the most exciting concepts in human knowledge.  Paradox is mind-expanding fun.

    Ryle's linguistic analysis remaps the conceptual geography of mind, not so much solving traditional philosophical problems as dissolving them into the mere consequences of misguided language. His plain language and esstentially simple purpose place him in the traditioin of Locke, Berkeley, Mill, and Russell.

    The editor's lucid introductions preface articles by such important contemporary writers as Alvin Plantinga, Richard Swinburne, Robert Merrihew Adams, William Alston, Gary Gutting, and Stephen T. Davis.