Cover: Methods of Logic: Fourth Edition, from Harvard University PressCover: Methods of Logic in PAPERBACK

Methods of Logic

Fourth Edition

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Product Details

PAPERBACK

$37.50 • £30.95 • €34.00

ISBN 9780674571761

Publication Date: 11/16/1982

Short

344 pages

6 x 9 inches

illustrations

World

  • Introduction
  • I. Truth Functions
    • 1. Negation, Conjunction, and Alternation
    • 2. Truth Functions
    • 3. The Conditional
    • 4. Grouping
    • 5. Truth-Value Analysis
    • 6. Consistency and Validity
    • 7. Implication
    • 8. Words into Symbols
    • 9. Equivalence
    • 10. Alternational Normal Schemata
    • 11. Simplification
    • 12. Duality
    • 13. Axioms
  • II. General Terms and Quantifiers
    • 14. Categorical Statements
    • 15. Venn’s Diagrams
    • 16. Syllogisms
    • 17. Limits of These Methods
    • 18. Boolean Schemata
    • 19. Tests of Validity
    • 20. Some Boolean Incidentals
    • 21. The Bound Variable
    • 22. Quantification
    • 23. Rules of Passage. Monadic Schemata
    • 24. Prenexity and Purity
    • 25. Validity Again
    • 26. Substitution
  • III. General Theory of Quantification
    • 27. Schemata Extended
    • 28. Substitution Extended
    • 29. Pure Existentials
    • 30. The Main Method
    • 31. Application
    • 32. Completeness
    • 33. Löwenheim’s Theorem
    • 34. Decisions and the Undecidable
    • 35. Functional Normal Forms
    • 36. Herbrand’s Method
    • 37. Other Methods for Validity
    • 38. Deduction
    • 39. Soundness
    • 40. Deductive Strategy
  • IV. Glimpses Beyond
    • 41. Singular Terms
    • 42. Identity
    • 43. Descriptions
    • 44. Elimination of Singular Terms
    • 45. Elimination of Variables
    • 46. Classes
    • 47. Number
    • 48. Axiomatic Set Theory
  • Partial Answers to Exercises
  • Bibliography
  • Index

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