Symbolic Logic and the Game of LogicPaperback Dover Recreational Math
- 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: 128,984
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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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