| Title:
|
A contribution to Gödel's axiomatic set theory, II: Basic notions and application of the theory of dyadic rings of the set theoretical type (English) |
| Author:
|
Rieger, Ladislav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
9 |
| Issue:
|
1 |
| Year:
|
1959 |
| Pages:
|
1-49 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
02.63 |
| idZBL:
|
Zbl 0095.00903 |
| idMR:
|
MR0124202 |
| DOI:
|
10.21136/CMJ.1959.100338 |
| . |
| Date available:
|
2008-06-09T13:00:42Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100338 |
| . |
| Reference:
|
[G] K. Gödel: The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of Set Theory.Annals of Mathematics Studies, Princeton 1940, Third Printing 1953. |
| Reference:
|
[I] L. Rieger: A contribution to Gödel's axiomatic set theory I.Чех. мат. 7 (82), 1957, 323-357. Zbl 0089.24403, MR 0099298 |
| Reference:
|
[H-B] D. Hilbert P. Bernays: Grundlagen der Mathematik II.Springer, Berlin 1939. MR 0272596 |
| Reference:
|
[M II] A. Mostowski: An undecidable arithmetical statement.Fund. Math. XXXIV (1949), 143-164. Zbl 0039.00802, MR 0035721, 10.4064/fm-36-1-143-164 |
| Reference:
|
[M III] A. Mostovski: Der gegenwärtige Stand der Grundlagenforschung in der Mathematik.(Die Hauptreferate des 8. Polnischen Mathematikerkongresses, Hrsg. v. Deutschem Verlag der Wissenschaften.) Berlin 1954, p. 11 - 44. MR 0066289 |
| Reference:
|
[Sk] T. Skolem: Über die Nichtcharacterisierbarkeit der Zahlenreihe mittels endlich oder abzählbar unendlich ausschliesslich Zahlenvariablen.Fund. Math. XXII (1934), 150-161. 10.4064/fm-23-1-150-161 |
| Reference:
|
[Sk'] T. Skolem: Über die Unmöglichkeit einer vollständigen Characterisierung ....Norsk mat. forenings skr., Serie II (1933), 73 - 74. |
| Reference:
|
[H] F. Hausdorff: Grundzüge der Mengenlehre.Leipzig Veit, 1914. |
| Reference:
|
[K-M] K. Kuratowski A. Mostowski: Teoria mnogości.Monogr. mat., Warszawa- Wroclaw 1952. MR 0054684 |
| Reference:
|
[Kr] W. Krull: Allgemeine Bewertungstheorie.Crelle J. 167 (1932), 160-196. Zbl 0004.09802 |
| Reference:
|
[W I] B. v. d. Warden: Moderne Algebra I.Berlin, Springer 1937 (II Aufl.). |
| Reference:
|
[Sch] O. F. G. Schilling: The Theory of Valuation.Am. Math. Soc., New York 1950. |
| Reference:
|
[S] R. Sikorski: On an ordered algebraic field.С. R. Soc. Sci. Varsovie, Cl. III, XLI (1948), 69-96. MR 0040274 |
| Reference:
|
[H-K] A. Hajnal L. Kalmár: An elementary combinatorial theorem....Publ. Math. Debrecen, 4 (1956), 431-449. MR 0080599 |
| . |
