Raymond M. Smullyan — a celebrated mathematician, logician, magician, and author — presents a logical labyrinth of more than 200 increasingly complex problems. The puzzles delve into Gödel’s undecidability theorem and other examples of the deepest paradoxes of logic and set theory. Detailed solutions follow each puzzle.

    Aha! Insight challenges the reader's reasoning power and intuition while encouraging the development of 'aha! reactions'.

    In three parts the author offers us what in his view every young set theorist should learn and master....This well-written book promises to influence the next generation of set theorists, much as its predecessor has done." --MATHEMATICAL REVIEWS"

    Haack discusses the scope and purpose of logic, validity, truth-functions, quantification and ontology, names, descriptions, truth, truth-bearers, the set-theoretical and semantic paradoxes, and modality. She also explores the motivations for a whole range of nonclassical systems of logic, including many-valued logics, fuzzy logic, modal and tense logics, and relevance logics.

    The essays are, in one way or another, informed by Dummett's concern with metaphysical questions and his belief that the correct approach to them is via the theory of meaning. Reflected here is Dummett's conviction that the concept of truth is of central importance both for the theory of meaning and for metaphysics. As he sees it, an adequate elucidation of the concept of truth requires nothing less than the construction of a satisfactory theory of meaning. At the same time, resolution of the traditional problems of metaphysics turns critically upon the way in which the concept of truth applies to each of various large ranges of statements, and especially upon whether the statements in each such range satisfy the principle that every statement must be true or false.The book includes all Dummett's philosophical essays that were published or given as public lectures before August 1976, with the exception of a few he did not think it worthwhile to reprint and of the two entitled "What Is a Theory of Meaning?" One essay appears here for the first time in English and two have not been previously published. In an extensive preface, Dummett comments on the essays and seeks to relate them to the philosophical background against which they were written.

    Prepares students for testing! Description & Features Mind Benders®, our bestselling deductive thinking puzzles, develop the logic, reading comprehension, and mental organization skills vital to achieving high grades and top test scores in all subjects. They're also great for developing real-life problem-solving skills. Methods Students carefully analyze each Mind Benders® story and its clues, identifying logical associations between people, places, and things. The key is to start with the most obvious associations, then deduce less obvious associations until everything finally fits together. Teaching Support Includes step-by-step instructions and detailed answers. Levels spiral in difficulty within grade range (C1, C2, C3).