This is a handy book for learning to spot common errors in reasoning.- For ages twelve through adult.- Fun to use -- learn skills you can use right away.- Peanuts, Dilbert, and Calvin and Hobbes cartoons.- Includes The Fallacy Detective Game.- Exercises with answer key.

    van Heijenoort's internationally acclaimed From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931 (HUP 1967), makes available in English the two most important works in the growth of modern mathematical logic. Heralded by Leibniz, modern logic had its beginnings in the work of Boole, DeMorgan, and Jevons, but the 1879 publication of Gottlob Frege's Begriffsschrift opened a great epoch in the history of logic with the full-form presentation of the propositional calculus and quantification theory.Frege and Gödel: Two Fundamental Texts in Mathematical Logic begins with this short book, which ushered in the classical age of mathematical logic by outlining the construction of a system of logical symbolism. The volume concludes with Gödel's famous incompleteness paper of 1931, which changed the development of logic and the foundations of mathematics by revealing the intrinsic limitations of formal systems, and brought to an end the classical phase.Mr. van Heijenoort has provided a new introduction which sets the Frege and Gödel pieces in perspective in the development of modern logic and points out difficulties in interpretation. Editorial comments, footnotes, and bibliographic information offer additional explanatory material.

    

    For the first time, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematically and physically common phenomena and advancing to a precise specification of the nature of Categories of Sets. Set theory as the algebra of mappings is introduced and developed as a unifying basis for advanced mathematical subjects such as algebra, geometry, analysis, and combinatorics. The formal study evolves from general axioms that express universal properties of sums, products, mapping sets, and natural number recursion.

    He cannot accept God's Word about the world or anything else, so anything which points to God must be called into question. Man, once he makes himself ultimate, is unable to know anything but himself. Because of this impasse, modern thinking has become progressively pragmatic. This book will lead the reader to understand that this problem of knowledge underlies the isolation and self-torment of modern man. Can you know anything if you reject God and His revelation? This book takes the reader into the heart of modern man's intellectual dilemma.

    Formal Semantics: The Essential Readings is a collection of seminal papers that have shaped the field of formal semantics in linguistics.

    This collection of newly commissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic.* Presents controversies in philosophical implications and applications of formal symbolic logic.* Surveys major trends and offers original insights.

    David Herman argues that narrative is simultaneously a cognitive style, a discourse genre, and a resource for writing. Because stories are strategies that help humans make sense of their world, narratives not only have a logic but also are a logic in their own right, providing an irreplaceable resource for structuring and comprehending experience. Story Logic brings together and pointedly examines key concepts of narrative in literary criticism, linguistics, and cognitive science, supplementing them with a battery of additional concepts that enable many different kinds of narratives to be analyzed and understood. By thoroughly tracing and synthesizing the development of different strands of narrative theory and provocatively critiquing what narratives are and how they work, Story Logic provides a powerful interpretive tool kit that broadens the applicability of narrative theory to more complex forms of stories, however and wherever they appear. Story Logic offers a fresh and incisive way to appreciate more fully the power and significance of narratives.