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Logic

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ALICE IN PUZZLE-LAND: A Carrollian Tale for Children Under Eighty

Author: SMULLYAN, RAYMOND
$12.95
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Characters from Wonderland and Through the Looking-Glass populate these 88 puzzles involving word play, logic and metalogic, and philosophical paradoxes. The charmingly illustrated challenges range from easy to difficult and include solutions.
HOW LOGIC WORKS: A USER'S GUIDE

HOW LOGIC WORKS: A USER'S GUIDE

Author: HALVORSON, HANS
$29.95
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A concise introduction to logic that teaches you not only how reasoning works, but why it works

How Logic Works is an introductory logic textbook that is different by design. Rather than teaching elementary symbolic logic as an abstract or rote mathematical exercise divorced from ordinary thinking, Hans Halvorson presents it as the skill of clear and rigorous reasoning, which is essential in all fields and walks of life, from the sciences to the humanities--anywhere that making good arguments, and spotting bad ones, is critical to success.

Instead of teaching how to apply algorithms using "truth trees," as in the vast majority of logic textbooks, How Logic Works builds on and reinforces the innate human skills of making and evaluating arguments. It does this by introducing the methods of natural deduction, an approach that teaches students not only how to carry out a proof and solve a problem but also what the principles of valid reasoning are and how they can be applied to any subject. The book also allows students to transition smoothly to more advanced topics in logic by teaching them general techniques that apply to more complicated scenarios, such as how to formulate theories about specific subject matter.

How Logic Works shows that formal logic--far from being only for mathematicians or a diversion from the really deep questions of philosophy and human life--is the best account we have of what it means to be rational. By teaching logic in a way that makes students aware of how they already use it, the book will help them to become even better thinkers.

  • Offers a concise, readable, and user-friendly introduction to elementary symbolic logic that primarily uses natural deduction rather than algorithmic "truth trees"
  • Draws on more than two decades' experience teaching introductory logic to undergraduates
  • Provides a stepping stone to more advanced topics
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    IF A, THEN B: HOW THE WORLD DISCOVERED LOGIC

    Author: SHENEFELT, MICHAEL
    $32.00
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    While logical principles seem timeless, placeless, and eternal, their discovery is a story of personal accidents, political tragedies, and broad social change. If A, Then B begins with logic's emergence twenty-three centuries ago and tracks its expansion as a discipline ever since. It explores where our sense of logic comes from and what it really is a sense of. It also explains what drove human beings to start studying logic in the first place.

    Logic is more than the work of logicians alone. Its discoveries have survived only because logicians have also been able to find a willing audience, and audiences are a consequence of social forces affecting large numbers of people, quite apart from individual will. This study therefore treats politics, economics, technology, and geography as fundamental factors in generating an audience for logic--grounding the discipline's abstract principles in a compelling material narrative. The authors explain the turbulent times of the enigmatic Aristotle, the ancient Stoic Chrysippus, the medieval theologian Peter Abelard, and the modern thinkers René Descartes, David Hume, Jeremy Bentham, George Boole, Augustus De Morgan, John Stuart Mill, Gottlob Frege, Bertrand Russell, and Alan Turing. Examining a variety of mysteries, such as why so many branches of logic (syllogistic, Stoic, inductive, and symbolic) have arisen only in particular places and periods, If A, Then B is the first book to situate the history of logic within the movements of a larger social world.

    If A, Then B is the 2013 Gold Medal winner of Foreword Reviews' IndieFab Book of the Year Award for Philosophy.

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    LAWS OF THOUGHT

    Author: BOOLE, GEORGE
    $17.95
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    "A classic of pure mathematics and symbolic logic ... the publisher is to be thanked for making it available." -- Scientific American
    George Boole was on of the greatest mathematicians of the 19th century, and one of the most influential thinkers of all time. Not only did he make important contributions to differential equations and calculus of finite differences, he also was the discoverer of invariants, and the founder of modern symbolic logic. According to Bertrand Russell, "Pure mathematics was discovered by George Boole in his work published in 1854."
    This work is the first extensive statement of the modern view that mathematics is a pure deductive science that can be applied to various situations. Boole first showed how classical logic could be treated with algebraic terminology and operations, and then proceeded to a general symbolic method of logical interference; he also attempted to devise a calculus of probabilities which could be applied to situations hitherto considered beyond investigation.
    The enormous range of this work can be seen from chapter headings: Nature and Design of This Work; Signs and Their Laws; Derivation of Laws; Division of Propositions; Principles of Symbolical Reasoning; Interpretation; Elimination; Reduction; Methods of Abbreviation; Conditions of a Perfect Method; Secondary Propositions; Methods in Secondary Propositions; Clarke and Spinoza; Analysis, Aristotelian Logic; Theory of Probabilities; General Method in Probabilities; Elementary Illustrations; Statistical Conditions; Problems on Causes; Probability of Judgments; Constitution of the Intellect. This last chapter, Constitution of the Intellect, is a very significant analysis of the psychology of discovery and scientific method.
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    LOGIC AND HOW IT GETS THAT WAY

    Author: JACQUETTE, DALE
    $29.95
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    In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts of elementary propositional and predicate-quantificational logic. Having presented difficulties for conventional ways of thinking about truth functionality, the metaphysics of reference and predication, the role of a concept of truth in a theory of meaning, among others, Jacquette proceeds to reshape the network of ideas about traditional logic that philosophy has acquired along with modern logic itself. In so doing Jacquette is able to offer a new perspective on a number of existing problems in logic and philosophy of logic.
    LOGIC MADE EASY

    LOGIC MADE EASY

    Author: BENNETT, DEBORAH J.
    $16.95
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    "Professor Bennett entertains as she instructs," writes "Publishers Weekly" about the penetrating yet practical "Logic Made Easy." This brilliantly clear and gratifyingly concise treatment of the ancient Greek discipline identifies the illogical in everything from street signs to tax forms. Complete with puzzles you can try yourself, "Logic Made Easy" invites readers to identify and ultimately remedy logical slips in everyday life. Designed with dozens of visual examples, the book guides you through those hair-raising times when logic is at odds with our language and common sense. "Logic Made Easy" is indeed one of those rare books that will actually make you a more logical human being.
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    SYMBOLIC LOGIC / GAME OF LOGIC

    Author: CARROLL, LEWIS
    $15.95
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    In this unique fusion of logical thought and inimitable whimsy, Over 350 ingenious problems involve classical logic: logic is expressed in terms of symbols; syllogisms and the sorites are diagrammed; logic becomes a game played with 2 diagrams and a set of counters. Two books bound as one.
    WHAT IS THE NAME OF THIS BOOK? THE RIDDLE OF DRACULA AND OTHER LOGICAL PUZZLES

    WHAT IS THE NAME OF THIS BOOK? THE RIDDLE OF DRACULA AND OTHER LOGICAL PUZZLES

    Author: SMULLYAN, RAYMOND
    $14.95
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    "The most original, most profound, and most humorous collection of recreational logic and math problems ever written." -- Martin Gardner, Scientific American
    "The value of the book lies in the wealth of ingenious puzzles. They afford amusement, vigorous exercise, and instruction." -- Willard Van Orman Quine, The New York Times Book Review
    If you're intrigued by puzzles and paradoxes, these 200 mind-bending logic puzzles, riddles, and diversions will thrill you with challenges to your powers of reason and common sense. 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.