Symbolic Logic and the Game of Logic

Over 350 ingenious problems involving 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.

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