Begriffsschrift, a formula language, modeled upon that of arithmetic, for pure thought

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Author(s): Gottlob Frege
Year: 1879

Language: English

Title page
Preface
I. DEFINITION OF THE SYMBOLS
1. Letters and other signs
Judgment
2. Possibility that a content become a judgment. Content stroke, judgment stroke
3. Subject and predicate. Conceptual content
4. Universal, particular; negative; categoric, hypothetic, disjunctive; apodictic, assertory, problematic judgments
Conditionality
5. If. Condition stroke
6, Inference. The Aristotelian modes of inference
Negation
7. Negation stroke. Or, either-or, and, but, and not, neither-nor
Identity of content
8. Need for a sign for identity of content, introduction of such a sign
Functions
9. Definition of the words "function" and" argument". Functions of several arguments. Argument places. Subject, object
10. Use of letters as function signs. "A has the property Φ." "B has the relation Ψ to A." "B is a result of an application of the procedure Ψ to the object A." The function sign as argument
Generality
11. German letters. The concavity in the content stroke. Replaceability of German letters. Their scope. Latin letters
12. There are some objects that do not --. There is no -. There are some -. Every. All. Causal connections. None. Some do not. Some. It is possible that -. Square of logical opposition
II. REPRESENTATION AND DERIVATION OF SOME JUDGMENTS OF PURE THOUGHT
13. Usefulness of the deductive mode of presentation
14. The first two fundamental laws of conditionality
15. Some of their consequences
16. The third fundamental law of conditionality, consequences
17. The first fundamental law of negation, consequences
18. The second fundamental law of negation, consequences
19. The third fundamental law of negation, consequences
20. The first fundamental law of identity of content, consequence
21. The second fundamental law of identity of content, consequences
22. The fundamental law of generality, consequences
III. SOME TOPICS FROM A GENERAL THEORY OF SEQUENCES
23. Introductory remarks
24. Heredity. Doubling of the judgment stroke. Lower-case Greek letters
25. Consequences
26. Succession in a sequence
27. Consequences
28. Further consequences
29. "z belongs to the f-sequence beginning with x." Definition and consequences
30. Further consequences
31. Single-valuedness of a procedure. Definition and consequences