A contribution to Gödel's axiomatic set theory, II: Basic notions and application of the theory of dyadic rings of the set theoretical type
Czechoslovak Mathematical Journal, Tome 9 (1959) no. 1, pp. 1-49
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DOI : 10.21136/CMJ.1959.100338
Classification : 02.63
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Rieger, Ladislav. A contribution to Gödel's axiomatic set theory, II: Basic notions and application of the theory of dyadic rings of the set theoretical type. Czechoslovak Mathematical Journal, Tome 9 (1959) no. 1, pp. 1-49. doi: 10.21136/CMJ.1959.100338

[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.

[I] L. Rieger: A contribution to Gödel's axiomatic set theory I. Чех. мат. 7 (82), 1957, 323-357. | MR | Zbl

[H-B] D. Hilbert P. Bernays: Grundlagen der Mathematik II. Springer, Berlin 1939. | MR

[M II] A. Mostowski: An undecidable arithmetical statement. Fund. Math. XXXIV (1949), 143-164. | DOI | MR | Zbl

[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

[Sk] T. Skolem: Über die Nichtcharacterisierbarkeit der Zahlenreihe mittels endlich oder abzählbar unendlich ausschliesslich Zahlenvariablen. Fund. Math. XXII (1934), 150-161. | DOI

[Sk'] T. Skolem: Über die Unmöglichkeit einer vollständigen Characterisierung ... Norsk mat. forenings skr., Serie II (1933), 73 - 74.

[H] F. Hausdorff: Grundzüge der Mengenlehre. Leipzig Veit, 1914.

[K-M] K. Kuratowski A. Mostowski: Teoria mnogości. Monogr. mat., Warszawa- Wroclaw 1952. | MR

[Kr] W. Krull: Allgemeine Bewertungstheorie. Crelle J. 167 (1932), 160-196. | Zbl

[W I] B. v. d. Warden: Moderne Algebra I. Berlin, Springer 1937 (II Aufl.).

[Sch] O. F. G. Schilling: The Theory of Valuation. Am. Math. Soc., New York 1950.

[S] R. Sikorski: On an ordered algebraic field. С. R. Soc. Sci. Varsovie, Cl. III, XLI (1948), 69-96. | MR

[H-K] A. Hajnal L. Kalmár: An elementary combinatorial theorem... Publ. Math. Debrecen, 4 (1956), 431-449. | MR

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