Symbolic Logic and the Game of Logic
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Symbolic Logic and the Game of Logic: (Dover Recreational Math)

Symbolic Logic and the Game of Logic: (Dover Recreational Math)


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About the Book

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

About the Author :
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.


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Product Details
  • ISBN-13: 9780486204925
  • Publisher: Dover Publications Inc.
  • Publisher Imprint: Dover Publications Inc.
  • Height: 202 mm
  • No of Pages: 335
  • Spine Width: 18 mm
  • Width: 138 mm
  • ISBN-10: 0486204928
  • Publisher Date: 01 Feb 2000
  • Binding: Paperback
  • Language: English
  • Series Title: Dover Recreational Math
  • Weight: 343 gr


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