Just as you use the wrench in a regular tool box to fix the sink, so you can use the tools we give you inthis book to solve thinking problems.-When it is dumb to argue-Using the scientific method-Five rules of brainstorming-Who has a reason to lie?-How to analyze opposing viewpoints-How to analyze evidence and sources-How to list reasons why you believe something-And much moreWe wrote this book for children and adults who want to learn logic and critical thinking skills.The Thinking Toolbox follows the same style as The Fallacy Detective with lessons and exercises and an answer key in the back.Features:-Fun to use not dry like a math textbook-Can be used after The Fallacy Detective-Introductory teaches skills you can use right away-Self-teaching format-For ages twelve and older-Over 60 cartoon illustrations by Richard LaPierreBook Details: Format: Paperback Publication Date: 1/30/2005 Pages: 234

    Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas.This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical.The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.

    This unique textbook covers two entirely different ways of looking at such reasoning. Topics include: the representation of mathematical statements by formulas in a formal language; the interpretation of formulas as true or false in a mathematical structure; logical consequence of one formula from others; formal proof; the soundness and completeness theorems connecting logical consequence and formal proof; the axiomatization of some mathematical theories using a formal language; the compactness theorem and an introduction to model theory.This book is designed for self-study by students, as well as for taught courses, using principles successfully developed by the Open University and used across the world. It includes exercises embedded within the text with full solutions to many of these. In addition there are a number of exercises without answers so that students studying under the guidance of a tutor may be assessed on the basis of what has been taught.Some experience of axiom-based mathematics is required but no previous experience of logic. Propositional and Predicate Calculus gives students the basis for further study of mathematical logic and the use of formal languages in other subjects.Derek Goldrei is Senior Lecturer and Staff Tutor at the Open University and part-time Lecturer in Mathematics at Mansfield College, Oxford, UK.

    It covers such topics as number, ratio and scale, rhythm and harmony, similarity and contrast, and suggests how these may relate to design problems.

    This is his eagerly-awaited first book in the area. It draws together a series of essays, three of them previously unpublished, on possibility, necessity, and tense. These puzzling aspects of the way the world is have been the focus of considerable philosophical attention in recent decades. A helpful introduction orients the reader and offers a way into some of the most original work in contemporary philosophy.

    "A gem…An unforgettable account of one of the great moments in the history of human thought." —Steven PinkerProbing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

    Lollipop Logic employs visual and pictorial clues to introduce and reinforce high-powered thinking. This one-of-kind tool gives wings to prereaders and nonreaders. This unique book introduces complex thinking skills without the fetters of lexical meaning. Lollipop Logic is the perfect instrument for many young learners. It is simple to use and easy for youngsters to understand. Best of all, it alleviates the encumbrances of reading ability for young minds ready to soar into the stratosphere of thinking skills far beyond their reading levels.For more advanced logic activities, refer to Logic Countdown, Logic Liftoff, Orbiting with Logic, and Logic Safari Books 1, 2, and 3.Grades K-2

    This level gets progressively more difficult. 48-52 page book includes Instructions and Detailed Solutions.

    A textbook for high school and university students on traditional logic.

    The book will be of central interest to anyone who is concerned with intentionality in the philosophy of mind or philosophy of language, the metaphysics of existence and identity, the philosophy of fiction, the philosophy of mathematics, or cognitive representation in AI.

    This book provides a unified overview of the many contributions Lewis has made to contemporary Anglo-American philosophy.

    David White delves deeper into the philosophical questions kids (and adults) care about deeply. Through vibrant discussions and debate, the book offers ways teachers can help students grapple with age-old questions about the nature of friendship (Aristotle), time (Augustine), knowledge (Plato), existence of God (Aquinas), perception (Berkeley), freedom and society (Rousseau), and many more. The book is divided into three sections. Part 1 presents primary source readings that will encourage discussion and debate; Part 2 offers easy-to-use activities that focus on the direct application of philosophy to areas such as critical thinking, language, and the arts; and Part 3 offers a unique perspective just for teachers--a philosophical look at how teachers can become more reflective philosophers themselves. This is an excellent teachers' handbook for using advanced philosophy in the classroom.

    To purchase the entire book, please order ISBN 0766126048.

    Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.

    Its object is to articulate and clarify the general principles of reasoning about claims to and attributions of knowledge. This comprehensive survey of the topic offers the first systematic account of the subject as it has developed in the journal literature over recent decades.Rescher gives an overview of the discipline by setting out the general principles for reasoning about such matters as propositional knowledge and interrogative knowledge. Aimed at graduate students and specialists, Epistemic Logic elucidates both Rescher's pragmatic view of knowledge and the field in general.

    By incorporating relevant prior information, it can sometimes improve model parameter estimates by many orders of magnitude. This book provides a clear exposition of the underlying concepts with many worked examples and problem sets. It also discusses implementation, including an introduction to Markov chain Monte-Carlo integration and linear and nonlinear model fitting. Particularly extensive coverage of spectral analysis (detecting and measuring periodic signals) includes a self-contained introduction to Fourier and discrete Fourier methods. There is a chapter devoted to Bayesian inference with Poisson sampling, and three chapters on frequentist methods help to bridge the gap between the frequentist and Bayesian approaches. Supporting Mathematica(r) notebooks with solutions to selected problems, additional worked examples, and a Mathematica tutorial are available at www.cambridge.org/9780521150125.

    The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic: Alfred Tarski and other Polish logicians such as Adolf Lindenbaum developed a general theory of logics at the end of the 1920s based on consequence operations and logical matrices. The subject was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. This book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.

    The enormousness of Sommers's undertaking can be gauged by the fact that most philosophers had come to believe--as David S. Oderberg writes in his preface--that Aristotelian logic was good but is now as good as dead. A revival of traditional syllogistic logic would involve not only its restatement but its refashioning into a system that could rival the elegance and deductive power of predicate logic. Building on work by medieval scholastic logicians, Leibniz, and nineteenth-century algebraic logicians, Sommers accomplished this renovation and rehabilitation of syllogistic logic with his magnum opus The Logic of Natural Language, published in 1982. In The Old New Logic, essays by a diverse group of contributors show how widely influential Sommers's work has been--not only in logic, but in category theory and other areas. Scholars in psychology, linguistics, and computer science join philosophers and logicians in discussing aspects of Sommers's contributions to philosophy. Sommers himself provides an intellectual autobiography at the beginning and in the final chapter offers comments on the contributions. This collection should help bring to Sommers's work the attention it deserves from the wider philosophical and intellectual community.

    Hendricks & John Symons In 1962 Jaakko Hintikka published Knowledge and Belief: An Introduction to the Logic of the Two Notions with Cornell University Press. Almost every paper or a book on epistemic and doxastic logic that has appeared since then has referred to this seminal work. Although many philosophers working in logic, epistemology, game-theory, economics, computer science and linguistics mention the book, it is very likely that most have never literally had their hands on it, much less owned a copy. After a fourth printing in 1969, Knowledge and Belief went out of print and as many of us have found to our dismay, it has become increasingly difficult to find used copies at our local shops or online. It is our pleasure to provide the interdisciplinary community with this reprint edition of Knowledge and Belief. Knowledge and Belief is a classic on which a generation - my generation - of epistemologists cut their teeth. This reissue is welcome. It will provide something for the next generation to chew on. - Fred Dretske, Duke University It is wonderful to see this classic being reissued after so many years out of print. It was extremely influential in its day; its influence continues to this day, through the impact of epistemic logic in fields as diverse distributed computing, artificial intelligence, and game theory. This reissue should make it possible for a new generation of researchers to appreciate Hintikka's groundbreaking work. - Joseph Halpern, Cornell University