valep\(\mathsf{\TeX}\): conversion from \(\mathsf{\LaTeX}\) to HTML |
Dear Dr. Quine‚
My book “Logische Syntax”
1. Satz: sentence (I think this is better than ‘proposition’, because the series of signs is meant, not its meaning; and a second
2. (Ein Satz ist) Folge (anderer Sätze): conclusion (consequence?)
3. Gehalt: content.
4. gehaltgleich: equal in content (is there no simple word?)
5. Alloperator: universal (or: general) operator.
6. Ausdruck (any series of signs): expression.
7. Strich (e. g. in ‘o|’): stroke (or would this produce a confusion with Sheffers Stroke ‘|’, which does not occur in my “Syntax”?), dash.
8. Strichausdruck (e. g. ‘o| | |’): stroke expression (if no danger of confusion with e. g. ‘p|q’ which however does not occur; the advantage would be that I could keep the gothic sign, {symbol}
9. Spielraum (as in Wittgenstein, p. 98): domain, range.
a-Begriffe:
10. Ableitung: derivation.
11. Beweis: proof (demonstration?)
12. ableitbar: derivable
13. beweisbar: provable (demonstrable?)
14. widerlegbar: disprovable
15. entscheidbar: decidable
16. unentscheidbar: indecidable
f-Begriffe:
17. Folgereihe: conclusion-series (?)
18. Folgeklasse: conclusion-class, class of conclusions.
19. Folge: conclusion (consequence).
20. gültig: valid.
21. widergültig : contra-valid (I think, ‘invalid’ would not do)
22. determiniert: determinate.
23. indeterminiert: indeterminate.
Explanations: Ableitung and Beweis are certain finite series of sentences. Folgereihe is a series of classes of sentences. The concepts in left column (a-Begriffe) have the meaning of something which can really be done; therefore I think that for (12)-(16) words with the ending ‘-able’ are preferable. The concepts in the right column (f-Begriffe)
24. Zahl - (-Ausdruck, -Zeichen, -Variable): numerical (expression, sign, variable) or numeral?
25. freie und gebundene Variable: (I would prefer not to take, as Russell
In your answer you may simply refer to the numbers of the concepts.
With best greetings 2:2
very truly yours
R. Carnap
Brief, msl, 2 Seiten, WQ (Dsl. RC 102-60-10); Briefkopf: msl. Prague, June, 8, 1934.