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...

    Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in the everyday physical world. Where Mathematics Comes From argues that conceptual metaphor plays a central role in mathematical ideas within the cognitive unconscious-from arithmetic and algebra to sets and logic to infinity in all of its forms.

    Explaining why the whole is sometimes smarter than the sum of its parts, Johnson presents surprising examples of feedback, self-organization, and adaptive learning. How does a lively neighborhood evolve out of a disconnected group of shopkeepers, bartenders, and real estate developers? How does a media event take on a life of its own? How will new software programs create an intelligent World Wide Web? In the coming years, the power of self-organization -- coupled with the connective technology of the Internet -- will usher in a revolution every bit as significant as the introduction of electricity. Provocative and engaging, Emergence puts you on the front lines of this exciting upheaval in science and thought.

    It remains the one of the most widely read books about science to come out of the twentieth century.(Note: the book was first published in 1934, in German, with the title Logik der Forschung. It was "reformulated" into English in 1959. See Wikipedia for details.)

    Discussing philosophy's ability to clarifyour thoughts, he explains why such clarification depends on the development of philosophical theories, and how those theories can be tested by imaginative thought experiments, and compared against each other by standards similar to those used in the natural and social sciences. He also shows howlogical rigor can be understood as a way of enhancing the explanatory power of philosophical theories.Drawing on the history of philosophy to provide a track record of philosophical thinking's successes and failures, Williams overturns widely held dogmas about the distinctive nature of philosophy in comparison to the sciences, demystifies its methods, and considers the future of the discipline. Fromthought experiments, to deduction, to theories, this little book will cause you to totally rethink what philosophy is.

    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

    In such a scenario, it makes sense to focus on the most identifiable and urgent problems, right? Actually, it doesn't. In his classic essay "The Usefulness of Useless Knowledge," Abraham Flexner, the founding director of the Institute for Advanced Study in Princeton and the man who helped bring Albert Einstein to the United States, describes a great paradox of scientific research. The search for answers to deep questions, motivated solely by curiosity and without concern for applications, often leads not only to the greatest scientific discoveries but also to the most revolutionary technological breakthroughs. In short, no quantum mechanics, no computer chips.This brief book includes Flexner's timeless 1939 essay alongside a new companion essay by Robbert Dijkgraaf, the Institute's current director, in which he shows that Flexner's defense of the value of "the unobstructed pursuit of useless knowledge" may be even more relevant today than it was in the early twentieth century. Dijkgraaf describes how basic research has led to major transformations in the past century and explains why it is an essential precondition of innovation and the first step in social and cultural change. He makes the case that society can achieve deeper understanding and practical progress today and tomorrow only by truly valuing and substantially funding the curiosity-driven "pursuit of useless knowledge" in both the sciences and the humanities.

    Richard Rorty, a Princeton professor who had contributed to the analytic tradition in philosophy, was now attempting to shrug off all the central problems with which it had long been preoccupied. After publication, the Press was barely able to keep up with demand, and the book has since gone on to become one of its all-time best-sellers in philosophy. Rorty argued that, beginning in the seventeenth century, philosophers developed an unhealthy obsession with the notion of representation. They compared the mind to a mirror that reflects reality. In their view, knowledge is concerned with the accuracy of these reflections, and the strategy employed to obtain this knowledge--that of inspecting, repairing, and polishing the mirror--belongs to philosophy. Rorty's book was a powerful critique of this imagery and the tradition of thought that it spawned. He argued that the questions about truth posed by Descartes, Kant, Hegel, and modern epistemologists and philosophers of language simply couldn't be answered and were, in any case, irrelevant to serious social and cultural inquiry. This stance provoked a barrage of criticism, but whatever the strengths of Rorty's specific claims, the book had a therapeutic effect on philosophy. It reenergized pragmatism as an intellectual force, steered philosophy back to its roots in the humanities, and helped to make alternatives to analytic philosophy a serious choice for young graduate students. Twenty-five years later, the book remains a must-read for anyone seriously concerned about the nature of philosophical inquiry and what philosophers can and cannot do to help us understand and improve the world.

    In The Logical Structure of the World, Carnap adopts the position of “methodological solipsism” and shows that it is possible to describe the world from the immediate data of experience. In his Pseudoproblems in Philosophy, he asserts that many philosophical problems are meaningless.

    Here, Sokal teams up with Jean Bricmont to expose the abuse of scientific concepts in the writings of today's most fashionable postmodern thinkers. From Jacques Lacan and Julia Kristeva to Luce Irigaray and Jean Baudrillard, the authors document the errors made by some postmodernists using science to bolster their arguments and theories. Witty and closely reasoned, Fashionable Nonsense dispels the notion that scientific theories are mere "narratives" or social constructions, and explored the abilities and the limits of science to describe the conditions of existence.

    This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.

    Habermas takes up the challenge posed by the radical critique of reason in contemporary French poststructuralism. Tracing the odyssey of the philosophical discourse of modernity, Habermas's strategy is to return to those historical crossroads at which Hegel and the Young Hegelians, Nietzsche and Heidegger made the fateful decisions that led to this outcome. His aim is to identify and clearly mark out a road indicated but not taken: the determinate negation of subject-centered reason through the concept of communicative rationality. As The Theory of Communicative Action served to place this concept within the history of social theory, these lectures locate it within the history of philosophy. Habermas examines the odyssey of the philosophical discourse of modernity from Hegel through the present and tests his own ideas about the appropriate form of a postmodern discourse through dialogs with a broad range of past and present critics and theorists. The lectures on Georges Bataille, Michel Foucault, Jacques Derrida, and Cornelius Castoriadis are of particular note since they are the first fruits of the recent cross-fertilization between French and German thought. Habermas's dialogue with Foucault--begun in person as the first of these lectures were delivered in Paris in 1983 culminates here in two appreciative yet intensely argumentative lectures. His discussion of the literary-theoretical reception of Derrida in America--launched at Cornell in 1984--issues here in a long excursus on the genre distinction between philosophy and literature. The lectures were reworked for the final time in seminars at Boston College and first published in Germany in the fall of 1985.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

    How do we reconcile common sense and science? John Searle argues vigorously that the truths of common sense and the truths of science are both right and that the only question is how to fit them together.Searle explains how we can reconcile an intuitive view of ourselves as conscious, free, rational agents with a universe that science tells us consists of mindless physical particles. He briskly and lucidly sets out his arguments against the familiar positions in the philosophy of mind, and details the consequences of his ideas for the mind-body problem, artificial intelligence, cognitive science, questions of action and free will, and the philosophy of the social sciences.

    Hubert Dreyfus's commentary opens the way for a new appreciation of this difficult philosopher, revealing a rigorous and illuminating vocabulary that is indispensable for talking about the phenomenon of world.The publication of Being and Time in 1927 turned the academic world on its head. Since then it has become a touchstone for philosophers as diverse as Marcuse, Sartre, Foucault, and Derrida who seek an alternative to the rationalist Cartesian tradition of western philosophy. But Heidegger's text is notoriously dense, and his language seems to consist of unnecessarily barbaric neologisms; to the neophyte and even to those schooled in Heidegger thought, the result is often incomprehensible.Dreyfus's approach to this daunting book is straightforward and pragmatic. He explains the text by frequent examples drawn from everyday life, and he skillfully relates Heidegger's ideas to the questions about being and mind that have preoccupied a generation of cognitive scientists and philosophers of mind.