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.

    Few write for the non-specialist as well as Will Durant, and this book is a splendid example of his eminently readable scholarship. Durant’s insight and wit never cease to dazzle; The Story of Philosophy is a key book for anyone who wishes to survey the history and development of philosophical ideas in the Western world.

    Topics are structured in three parts in the book. Part I, Reference and Referring Expressions, includes topics such as Russell's Theory of Desciptions, Donnellan's distinction, problems of anaphora, the description theory of proper names, Searle's cluster theory, and the causal-historical theory. Part II, Theories of Meaning, surveys the competing theories of linguistic meaning and compares their various advantages and liabilities. Part III, Pragmatics and Speech Acts, introduces the basic concepts of linguistic pragmatics, includes a detailed discussion of the problem of indirect force and surveys approaches to metaphor.Unique features of the text: * chapter overviews and summaries* clear supportive examples* study questions* annotated further reading* glossary.

    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.

    

    C. Escher and composer Johann Sebastian Bach, discussing common themes in their work and lives. At a deeper level, the book is a detailed and subtle exposition of concepts fundamental to mathematics, symmetry, and intelligence. Through illustration and analysis, the book discusses how self-reference and formal rules allow systems to acquire meaning despite being made of "meaningless" elements. It also discusses what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of "meaning" itself. In response to confusion over the book's theme, Hofstadter has emphasized that GEB is not about mathematics, art, and music but rather about how cognition and thinking emerge from well-hidden neurological mechanisms.

    Widely praised for providing a lucid and historically informed account of Wittgenstein's core philosophical concerns.Demonstrates the continuity between Wittgenstein's early and later writings.Provides a persuasive argument for the unity of Wittgenstein's thought.Kenny also assesses Wittgenstein's influence in the latter part of the twentieth century.Inside:PrefaceAbbreviations in References to Works by WittgensteinBiographical Sketch of Wittgenstein's PhilosophyThe Legacy of Frege & RussellThe Criticism of PrincipiaThe Picture Theory of the PropositionThe Metaphysics of Logical AtomismThe Dismantling of Logical AtomismAnticipation, Intentionality & VerificationUnderstanding, Thinking & MeaningLanguage-GamesPrivate LanguagesOn Scepticism & CertaintyThe Continuity of Wittgenstein's PhilosophySuggestions for Further ReadingIndex

    Many new exercises introduced in this edition help supplement and support explanations, aid in review, and make the book visually stimulating. This edition also includes a revised Logic tutorial on CD-Rom--further simplifying the study of logic. Includes many fascinating illustrations taken from the history of science as well as from contemporary research in the physical and biological sciences, plus introduces an abundance of new exercises throughout, complete with solutions for the first exercise in a set. Appropriate for those in business, education, political, or psychology careers.

    John Heil introduces and discusses the major topics in succinct, user-friendly, self-contained chapters:* Cartesian dualism* Descartes's legacy* non-Cartesian dualism* behaviorism* the identity theory* functionalism* the representational theory of mind* qualia* radical interpretation* the intentional stance* eliminativism* property dualism* mind and metaphysics* the mind's place in natureThis revised and updated edition includes expanded chapters on eliminativism, qualia, and the representational theory of mind, and an entirely new chapter on property dualism. There are annotated suggestions for further reading at the end of each chapter, updated to include recent material and internet resources.

    His aim is to break down the fixed categories of thought which have always appeared to define and constrain the permissible solutions to these problems.

    From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material. 'A lively and stimulating book' Philosophy

    It is ideal as a reader for all courses in epistemology.

    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.

    Leibniz' Monadology, one of the most important pieces of the Leibniz corpus, is at once one of the great classics of modern philosophy & one of its most puzzling productions. Because the essay is written in so compactly condensed a fashion, for almost three centuries it has baffled & beguiled those who read it for the first time. Nicholas Rescher accompanies the text of the Monadology section-by-section with relevant excerpts from some of Leibniz' widely scattered discussions of the matters at issue. The result serves a dual purpose of providing a commentary of the Monadology by Leibniz himself, while at the same time supplying an exposition of his philosophy using the Monadology as an outline. The book contains all the materials that even the most careful study of this text could require: a detailed overview of the philosophical background of the work & of its bibliographic ramifications; a presentation of the original French text together with a new, closely faithful English translation; a selection of other relevant Leibniz texts; & a detailed commentary. Rescher also provides a survey of Leibniz' use of analogies & three separate indices of key terms & expressions, Leibniz' French terminology, & citations. Rescher's edition of the Monadology presents Leibniz' ideas faithfully, accurately & accessibly, making it especially valuable to scholars & students alike.

    The Cave and the Light is a magisterial account of how the two greatest thinkers of the ancient world, Plato and Aristotle, laid the foundations of Western culture—and how their rivalry shaped the essential features of our culture down to the present day.   Plato came from a wealthy, connected Athenian family and lived a comfortable upper-class lifestyle until he met an odd little man named Socrates, who showed him a new world of ideas and ideals. Socrates taught Plato that a man must use reason to attain wisdom, and that the life of a lover of wisdom, a philosopher, was the pinnacle of achievement. Plato dedicated himself to living that ideal and went on to create a school, his famed Academy, to teach others the path to enlightenment through contemplation.   However, the same Academy that spread Plato’s teachings also fostered his greatest rival. Born to a family of Greek physicians, Aristotle had learned early on the value of observation and hands-on experience. Rather than rely on pure contemplation, he insisted that the truest path to knowledge is through empirical discovery and exploration of the world around us. Aristotle, Plato’s most brilliant pupil, thus settled on a philosophy very different from his instructor’s and launched a rivalry with profound effects on Western culture.   The two men disagreed on the fundamental purpose of the philosophy. For Plato, the image of the cave summed up man’s destined path, emerging from the darkness of material existence to the light of a higher and more spiritual truth. Aristotle thought otherwise. Instead of rising above mundane reality, he insisted, the philosopher’s job is to explain how the real world works, and how we can find our place in it. Aristotle set up a school in Athens to rival Plato’s Academy: the Lyceum. The competition that ensued between the two schools, and between Plato and Aristotle, set the world on an intellectual adventure that lasted through the Middle Ages and Renaissance and that still continues today.   From Martin Luther (who named Aristotle the third great enemy of true religion, after the devil and the Pope) to Karl Marx (whose utopian views rival Plato’s), heroes and villains of history have been inspired and incensed by these two master philosophers—but never outside their influence.   Accessible, riveting, and eloquently written, The Cave and the Light provides a stunning new perspective on the Western world, certain to open eyes and stir debate.Praise for The Cave and the Light   “A sweeping intellectual history viewed through two ancient Greek lenses . . . breezy and enthusiastic but resting on a sturdy rock of research.”—Kirkus Reviews   “Examining mathematics, politics, theology, and architecture, the book demonstrates the continuing relevance of the ancient world.”—Publishers Weekly  “A fabulous way to understand over two millennia of history, all in one book.”—Library Journal  “Entertaining and often illuminating.”—The Wall Street JournalFrom the Hardcover edition.