Symbolic Logic and the Game of Logic

Symbolic Logic and the Game of Logic

Paperback Dover Recreational Math

By (author) Lewis Carroll

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  • Publisher: Dover Publications Inc.
  • Format: Paperback | 335 pages
  • Dimensions: 137mm x 201mm x 23mm | 431g
  • Publication date: 17 January 1998
  • Publication City/Country: New York
  • ISBN 10: 0486204928
  • ISBN 13: 9780486204925
  • Edition statement: New issue of 1896 ed.
  • Sales rank: 142,438

Product description

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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Author information

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.

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   Notes   "Appendix, addressed to teachers"   Notes to Appendix   Index