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5331_en_Reichenbach_T01 (Reichenbach, Hans)

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I. Introduction

§ 1. Logic and language

§ 2. Language

§ 3. Different levels of language

§ 4. Instrumental usage of language

§ 5. Definitions

II. The calculus of propositions

§ 6. Propositional operations

§ 7. Truth tables

§ 8. Survey of possible operations. Tautologies

§ 9. Interpretation of tautological operations as connective operations

§ 10. Reduction of operations to other operations

§ 11. Derivations

§ 12. The rule of substitution

§ 13. The rule of replacement

§ 14. The rule of inference

§ 15. Secondary rules of inference

§ 16. Remarks on the method of derivation

III. The simple calculus of functions

§ 17. Propositional functions

§ 18. Binding of variables

§ 19. Negation of operators

§ 20. The scope of an operator and the order of operators

§ 21. Synthetic assertions containing free argument variables

§ 22. Some concepts referring to functions

IV. The simple calculus of functions (continued)

§ 23. Truth characters of one-place functions

§ 24. Definition of tautologies containing functions

§ 25. The use of case analysis for the construction of tautologies in propositional functions

§ 26. The rules of substitution and inference in the calculus of functions

§ 27. The rule for free variables

§ 28. Derivation of tautologies

§ 29. Secondary rules

§ 30. Derivations from synthetic premises

§ 31. The formal and the material conception of language

§ 32. The proof of consistency

§ 33. Two objections against the proof of consistency

§ 34. Logical evidence

V. The calculus of classes

§ 35. Classes

§ 36. The syllogism

§ 37. The principle of abstraction

§ 38. Classes of couples, triplets, and so on

VI. The higher calculus of functions

§ 39. Functions of higher types

§ 40. The antinomies and the theory of types

§ 41. The technique of the higher calculus

§ 42. The treatment of indefinite expressions

§ 43. The relation of identity

§ 44. The definition of number

VII. Analysis of conversational language

§ 45. The deficiencies of traditional grammar

§ 46. Proper names

§ 47. Descriptions

§ 48. The problem of individuals

§ 49. Fictitious existence

§ 50. Token-reflexive words

§ 51. The tenses of verbs

§ 52. Classification of functions

§ 53. Functions of higher types

§ 54. Descriptional functions

§ 55. Logical terms in a syntactical capacity

§ 56. Logical terms in a semantical capacity

§ 57. Logical terms in a pragmatic capacity

§ 58. Extraneous terms

§ 59. Classification of the parts of speech

VIII. Connective operations and modalities

§ 60. Practical reasons for the introduction of connective operations

§ 61. Formal characterization of connective operations

§ 62. The logical nature of connective operations

§ 63. Relative nomological statements

§ 64. The semi-adjunctive implication

§ 65. Modalities

§ 66. Modal interpretation of connective operations