Mathematical Logic, Revised Edition / / W. V. Quine.
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| Superior document: | Title is part of eBook package: De Gruyter HUP eBook Package Archive 1893-1999 |
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| Place / Publishing House: | Cambridge, MA : : Harvard University Press, , [2021] ©1951 |
| Year of Publication: | 2021 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (358 p.) |
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Table of Contents:
- Frontmatter
- PREFACE, 1981
- PREFACE TO THE REVISED EDITION
- PREFACE
- CONTENTS
- Introduction
- CHAPTER ONE. Statelfzents
- 1. Conjunction, Alternation, and Denial
- 2. The Conditional
- 3. Iterated Composition
- 4. Use versus Mention
- 5. Statements about Statements
- 6. Quasi-Quotation
- 7. Parentheses and Dots
- 8. Reduction to Three Primitives
- 9. Reduction to One Primitive
- 10. Tautology
- 11. Selected Tautologous Forms
- CHAPTER TWO. Quantification
- 12. The Quantifier
- 13. Formulae
- 14. Bondage, Freedom, Closure
- 15. Axioms of Quantification
- 16. Theorems
- 17. Metatheorems
- 18. Substitutivity of the Biconditional
- 19. Existential Quantification
- 20. Distribution of Quantifiers
- 21. Alphabetic Variance
- CHAPTER THREE. Terms
- 22. Class and Member
- 23. Logical Formulae
- 24. Abstraction
- 25. Identity
- 26. Abstraction Resumed
- 27. Descriptions and Names
- CHAPTER FOUR. Extended Theory of Classes
- 28. Stratification
- 29. Further Axioms of Membership
- 30. Substitutivity of Identity
- 31. Substitution for Variables
- 32. Further Consequences
- 33. Logical Product, Sum, Complement
- 34. Inclusion
- 35. Unit Classes
- CHAPTER FIVE. Relations
- 36. Pairs and Relations
- 37. Abstraction of Relations
- 38. Converse, Image, Relative Product
- 39. The Ancestral
- 40. Functions
- 41. Abstraction of Functions
- 42. Identity and Membership as Relations
- CHAPTER SIX. Number
- 43. Zero, One, Successor
- 44. Natural Numbers
- 45. Counter Sets
- 46. Finite and Infinite
- 47. Powers of Relations
- 48. Arithmetical Sum, Product, Power
- 49. Familiar Identities of Arithmetic
- 50. Ratios
- 51. Real Numbers
- 52. Further Extensions
- CHAPTER SEVEN. Syntax
- 53. Formality
- 54. The Syntactical Primitive
- 55. Protosyntax
- 56. Formula and Matrix Defined
- 57. Axioms of Quantification Defined
- 58. Theorem Defined
- 59. Protosyntax Self-Applied
- 60. Incompleteness
- APPENDIX. Theorem versus Metatheorem
- List of Definitions
- List of Theorems and Metatheorems
- Bibliographical References
- Index of Proper Names
- Index of Subjects