Symbolic Logic and the Game of Logic

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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.
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Symbolic Logic and the Game of Logic

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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.
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Product Details

  • ISBN-13: 9780486204925
  • Publisher: Dover Publications
  • Publication date: 6/1/1958
  • Series: Dover Recreational Math Series
  • Pages: 335
  • Sales rank: 709,655
  • Product dimensions: 5.42 (w) x 7.99 (h) x 0.67 (d)

Meet the Author

Lewis Carroll

Lewis Carroll (1832–98) was the pseudonym of Charles Lutwidge Dodgson, a Professor of Mathematics at Cambridge University. Alice's Adventures in Wonderland and its sequel, Through the Looking Glass, are rich repositories of his sparkling gifts for wordplay, logic, and fantasy.


Charles Lutwidge Dodgson, known by his pen name, Lewis Carroll, was a man of diverse interests -- in mathematics, logic, photgraphy, art, theater, religion, medicine, and science. He was happiest in the company of children for whom he created puzzles, clever games, and charming letters.

As all Carroll admirers know, his book Alice's Adventures in Wonderland (1865), became an immediate success and has since been translated into more than eighty languages. The equally popular sequel Through the Looking-Glass and What Alice Found There, was published in 1872.

The Alice books are but one example of his wide ranging authorship. The Hunting of the Snark, a classic nonsense epic (1876) and Euclid and His Modern Rivals, a rare example of humorous work concerning mathematics, still entice and intrigue today's students. Sylvie and Bruno, published toward the end of his life contains startling ideas including an 1889 description of weightlessness.

The humor, sparkling wit and genius of this Victorian Englishman have lasted for more than a century. His books are among the most quoted works in the English language, and his influence (with that of his illustrator, Sir John Tenniel) can be seen everywhere, from the world of advertising to that of atomic physics.

Author biography courtesy of Penguin Group (USA).

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    1. Also Known As:
      Charles Lutwidge Dodgson (real name)
    1. Date of Birth:
      January 27, 1832
    2. Place of Birth:
      Daresbury, Cheshire, England
    1. Date of Death:
      January 14, 1898
    2. Place of Death:
      Guildford, Surrey, England

Table of Contents

Book I. Things and Their Attributes
  I. Introductory
  II. Classification
  III. Division
    §1. Introductory
    §2. Dichotomy
  IV. Names
  V. Definitions
Book II. Propositions
  I. Propositions Generally
    §1. Introductory
    §2. Normal form of a Proposition
    §3. Various kinds of Propositions
  II. Propositions of Existence
  III. Propositions of Relation
    §1. Introductory
    §2. Reduction of a Proposition of Relation to Normal form
    §3. "A Proposition of Relation, beginning with "All," is a Double Proposition"
    §4. "What is implied, in a Proposition of Relation, as to the Reality of its Terms?"
    §5. Translation of a Proposition of Relation into one or more Propositions of Existence
Book III. The Biliteral Diagram
  I. Symbols and Cells
  II. Counters
  III. Representation of Propositions
    §1. Introductory
    §2. Representation of Propositions of Existence
    §3. Representation of Propositions of Relation
  IV. "Interpretation of Biliteral Diagram, when Marked with Counters"
Book IV. The Triliteral Diagram
  I. Symbols and Cells
  II. "Representation of Propositionsin Terms of X and M, or of Y and M"
    §1. "Representation of Propositions of Existence in terms of x and m, or of y and m"
    §2. "Representation of Propositions of Relation in terms of x and m, or of y and m"
  III. "Representation of two propositions of relation, one in terms of x and m, and the other in terms of y and m, on the same diagram"
  IV. "Interpretation, in terms of x and y, of triliteral diagram, when marked with counters or digits"
Book V. Syllogisms
  I. Introductory
  II. Problems in Syllogisms
    §1. Introductory
    §2. Given a Pair of Propositions of Relation
    §3. Given a Trio of Propositions of Relation
Book VI. The Method of Subscripts
  I. Introductory
  II. Representation of propositions of relation
  III. Syllogisms
    §1. Representation of Syllogisms
    §2. Formula for Syllogisms
    §3. Fallacies
    §4. Method of proceeding with a given Pair of Propositions
Book VII. Soriteses
  I. Introductory
  II. Problems in Soriteses
    §1. Introductory
    §2. Solution by Method of Separate Syllogisms
    §3. Solution by Method of Underscoring
Book VIII. "Examples, with answers and solutions"
  I. Examples
    §1. Propositions of Relation
    §2. Pairs of Abstract Propositions
    §3. Marked Triliteral Diagrams
    §4. Pairs of Abstract Propositions
    §5. Pairs of Concrete Propositions
    §6. Trios of Abstract Propositions
    §7. Trios of Concrete Propositions
    §8. Sets of Abstract Propositions
    §9. Sets of Concrete Propositions
  II. Answers
  III. Solutions
    §1. Propositions of Relation reduced to normal form
    §2. Method of Diagrams
    §3. Method of Subscripts
  "Appendix, addressed to teachers"
  Notes to Appendix
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Customer Reviews

Average Rating 4.5
( 2 )
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Sort by: Showing all of 2 Customer Reviews
  • Posted October 23, 2009

    I Also Recommend:

    Who ever thought Logic could be this fun?

    Lewis Carroll provides, for all people who happen upon this hard-to-find book, a gem of staggering excellence. Written in a clear, understandable, and witty fashion, Sir Dodgson gives his reader, in my opinion, one of the best introductions to symbolic logic to date. If ever you have found yourself in a quandary over how language, symbols, and expressions refer to truth, un-truth, falsity or fallacy, this book will assist in bringing some coherence to chaos.

    I strongly recommend

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  • Anonymous

    Posted October 5, 2001

    Programmers will love this

    Programmers, especially object-oriented programmers, will appreciate that over 100 years ago Lewis Carroll used many of the concepts and terms that are commonly used in object-oriented programming today. Definitely a worthwhile read.<br /> <br /> If you're not a programmer you'll enjoy the unique methods that Carroll employed to solve logic problems known as syllogisms. If you like logic problems, you'll love this book.

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