Methods of logic / by William Van Orman Quine.
Editor: London : Routledge & Kegan Paul, 1952Descripción: xix, 264 p. ; 22 cmOtra clasificación: 03Bxx (03-01)Contents PAGE Preface vii Introduction xi PART I. Truth Functions 1. Negation, Conjunction, and Alternation [1] 2. Truth Functions [7] 3. The Conditional [12] 4. Grouping [17] 5. Truth-value Analysis [22] 6. Consistency and Validity [28] 7. Impheation [33] 8. Words into Symbols [39] 9. Equivalence [46] 10. Normal Schemata [52] 11. Duality [59] PART II. Uniform Quantification 12. Categorical Statements [64] 13. Venn’s Diagrams [69] 14. Syllogisms [73] 15. Limits of these Methods [79] 16. Quantification [83] 17. Uniform Quantificational Schemata [89] 18. Validity [94] 19. Equivalence. Canonical Schemata [101] 20. Testing for Consistency [107] 21. Testing for Implication [113] PART III. General Theory of Quantification 22. Quantification Extended [119] 23. Quantificational Schemata and Predicates [127] 24. Validity of Quantificational Schemata [135] 25. Substitution in Quantificational Schemata [140] 26. Laws of Implication [147] 27. Deduction [153] 28. Completion of the Method [159] 29. Deductive Technique [167] 30. Polyadic Problems. Conversion of Quantifiers [175] 3L Application [182] 32. Nature of Quantification Theory [189] PART IV. Glimpses Beyond 33. Existence and Singular Inference [196] 34. Singular Terms versus General Terms [203] 35. Identity [208] 36. Descriptions [215] 37. Elimination of Singular Terms [.220] 38. Classes [225] 39. Number [231] 40. Relations [237] 41. Class Theory, Mathematics, and the Theory of Proof [242] 42. Variant Theories of Classes [248] Bibliography [253] Index [259]
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03 Q7f From a logical point of view : | 03 Q7ma Mathematical logic / | 03 Q7ma Mathematical logic / | 03 Q7me Methods of logic / | 03 Q7s Set theory and its logic / | 03 R147 Über Dialoge, protologische Kategorien und andere Seltenheiten / | 03 R224m The mathematics of metamathematics / |
Incluye referencias bibliográficas (p. 253-258).
Contents --
PAGE Preface vii --
Introduction xi --
PART I. Truth Functions --
1. Negation, Conjunction, and Alternation [1] --
2. Truth Functions [7] --
3. The Conditional [12] --
4. Grouping [17] --
5. Truth-value Analysis [22] --
6. Consistency and Validity [28] --
7. Impheation [33] --
8. Words into Symbols [39] --
9. Equivalence [46] --
10. Normal Schemata [52] --
11. Duality [59] --
PART II. Uniform Quantification --
12. Categorical Statements [64] --
13. Venn’s Diagrams [69] --
14. Syllogisms [73] --
15. Limits of these Methods [79] --
16. Quantification [83] --
17. Uniform Quantificational Schemata [89] --
18. Validity [94] --
19. Equivalence. Canonical Schemata [101] --
20. Testing for Consistency [107] --
21. Testing for Implication [113] --
PART III. General Theory of Quantification --
22. Quantification Extended [119] --
23. Quantificational Schemata and Predicates [127] --
24. Validity of Quantificational Schemata [135] --
25. Substitution in Quantificational Schemata [140] --
26. Laws of Implication [147] --
27. Deduction [153] --
28. Completion of the Method [159] --
29. Deductive Technique [167] --
30. Polyadic Problems. Conversion of Quantifiers [175] --
3L Application [182] --
32. Nature of Quantification Theory [189] --
PART IV. Glimpses Beyond --
33. Existence and Singular Inference [196] --
34. Singular Terms versus General Terms [203] --
35. Identity [208] --
36. Descriptions [215] --
37. Elimination of Singular Terms [.220] --
38. Classes [225] --
39. Number [231] --
40. Relations [237] --
41. Class Theory, Mathematics, and the Theory of Proof [242] --
42. Variant Theories of Classes [248] --
Bibliography [253] --
Index [259] --
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