A contribution to Gödel's axiomatic set theory, II: Basic notions and application of the theory of dyadic rings of the set theoretical type

Ladislav Rieger

Czechoslovak Mathematical Journal (1959)

  • Volume: 09, Issue: 1, page 1-49
  • ISSN: 0011-4642

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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 09.1 (1959): 1-49. <http://eudml.org/doc/11964>.

@article{Rieger1959,
author = {Rieger, Ladislav},
journal = {Czechoslovak Mathematical Journal},
keywords = {philosophy and foundations of mathematics},
language = {eng},
number = {1},
pages = {1-49},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
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},
url = {http://eudml.org/doc/11964},
volume = {09},
year = {1959},
}

TY - JOUR
AU - Rieger, Ladislav
TI - A contribution to Gödel's axiomatic set theory, II: Basic notions and application of the theory of dyadic rings of the set theoretical type
JO - Czechoslovak Mathematical Journal
PY - 1959
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 09
IS - 1
SP - 1
EP - 49
LA - eng
KW - philosophy and foundations of mathematics
UR - http://eudml.org/doc/11964
ER -

References

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  1. 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. (1940) 
  2. L. Rieger, A contribution to Gödel's axiomatic set theory I, Чех. мат. 7 (82), 1957, 323-357. (1957) Zbl0089.24403MR0099298
  3. D. Hilbert P. Bernays, Grundlagen der Mathematik II, Springer, Berlin 1939. (1939) MR0272596
  4. A. Mostowski, 10.4064/fm-36-1-143-164, Fund. Math. XXXIV (1949), 143-164. (1949) Zbl0039.00802MR0035721DOI10.4064/fm-36-1-143-164
  5. 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. (1954) MR0066289
  6. T. Skolem, 10.4064/fm-23-1-150-161, Fund. Math. XXII (1934), 150-161. (1934) DOI10.4064/fm-23-1-150-161
  7. T. Skolem, Über die Unmöglichkeit einer vollständigen Characterisierung ..., Norsk mat. forenings skr., Serie II (1933), 73 - 74. (1933) 
  8. F. Hausdorff, Grundzüge der Mengenlehre, Leipzig Veit, 1914. (1914) 
  9. K. Kuratowski A. Mostowski, Teoria mnogości, Monogr. mat., Warszawa- Wroclaw 1952. (1952) MR0054684
  10. W. Krull, Allgemeine Bewertungstheorie, Crelle J. 167 (1932), 160-196. (1932) Zbl0004.09802
  11. B. v. d. Warden, Moderne Algebra I, Berlin, Springer 1937 (II Aufl.). (1937) 
  12. O. F. G. Schilling, The Theory of Valuation, Am. Math. Soc., New York 1950. (1950) 
  13. R. Sikorski, On an ordered algebraic field, С. R. Soc. Sci. Varsovie, Cl. III, XLI (1948), 69-96. (1948) MR0040274
  14. A. Hajnal L. Kalmár, An elementary combinatorial theorem..., Publ. Math. Debrecen, 4 (1956), 431-449. (1956) MR0080599

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