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More About This Textbook
Overview
This widely used textbook of modern formal logic now offers a number of new features. Incorporating updated notations, selective answers to exercises, expanded treatment of natural deduction, and new discussions of predicate- functor logic and the affinities between higher set theory and the elementary logic of terms, Quine's new edition will serve admirably both for classroom and for independent use.
What People Are Saying
Ernest Nagel
Quine's book is of first-rate quality, and presents the materials of modern formal logic in a masterly fashion...A superb text: authoritative, mature, and brilliant and original in its exposition.Joseph S. Ullian
It is admirably precise and it is written with a deliciously light touch.R. J. Trayhern
For a treatment of such modest size, it abounds in exciting ideas, freshness of perspective on old logical and philosophical problems, and in lucid and exact analysis.For a treatment of such modest size, it abounds in exciting ideas, freshness of perspective on old logical and philosophical problems, and in lucid and exact analysis.
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Meet the Author
W. V. Quine was Edgar Pierce Professor of Philosophy, Harvard University. He wrote twenty-one books, thirteen of them published by Harvard University Press.
Table of Contents
Introduction
PART 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
PART 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
PART 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
PART 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