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This title in other editions

Symbolic Logic and the Game of Logic

by

Symbolic Logic and the Game of Logic Cover

 

Synopses & Reviews

Publisher Comments:

The two works reprinted in this volume are a unique fusion of logical thought and inimitable whimsy. Written by the 19th-century mathematician who also gave us "Alive in Wonderland", they are among the most entertaining logical works ever written, and contain some of the most thought-provoking puzzles ever devised.

Synopsis:

Over 350 ingenious problems involving classical logic: logic expressed in symbols; syllogisms and the sorites diagrammed; logic as a game played with 2 diagrams and a set of counters.

Synopsis:

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.

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.

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

Product Details

ISBN:
9780486204925
Author:
Carroll, Lewis
Publisher:
Dover Publications
Subject:
General
Subject:
Philosophy
Subject:
Logic
Subject:
Logic, symbolic and mathematical
Subject:
Ethics and logic
Subject:
Puzzles
Subject:
Games-General Puzzles
Edition Description:
Trade Paper
Series:
Dover Recreational Math
Publication Date:
19580631
Binding:
TRADE PAPER
Grade Level:
from 7
Language:
English
Pages:
335
Dimensions:
8 x 5.38 in 0.79 lb
Age Level:
from 12

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Related Subjects

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Humanities » Philosophy » Logic
Reference » Science Reference » General
Science and Mathematics » Mathematics » Foundations and Logic
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Science and Mathematics » Mathematics » Logic and Philosophy

Symbolic Logic and the Game of Logic Used Trade Paper
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Product details 335 pages Dover Publications - English 9780486204925 Reviews:
"Synopsis" by ,
Over 350 ingenious problems involving classical logic: logic expressed in symbols; syllogisms and the sorites diagrammed; logic as a game played with 2 diagrams and a set of counters.
"Synopsis" by ,
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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