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Rieger, Ladislav

A contribution to Gödel’s axiomatic set theory. I. (English) Zbl 0089.24403

Czech. Math. J. 7(82), 323-357 (1957).
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Cited in 10 Documents

Keywords:

foundations of mathematics, philosophy, logic
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\textit{L. Rieger}, Czech. Math. J. 7(82), 323--357 (1957; Zbl 0089.24403)
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References:

[1] K. Gödel: The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of Set Theory. Annals of Mathematical Studies, Princeton 1940, Third Printing 1953.
[2] A. Tarski: Grundzüge des Systemenkalküls I. Fund. Math. XXV (1935), 503-526; II ibid. XXVI (1936), 283-301. · Zbl 0012.38501
[3] A. Mostowski: Abzählbare Boolsche Körper und ihre Anwendung in der Metamatematik. Fund. Math. XXIX (1937), 34-53. · Zbl 0016.33704
[4] A. Mostowski: An undecidable Arithmetical Statement. Fund. Math. XXXIV (1949), 143-164. · Zbl 0039.00802
[5] L. Rieger: On the algebra of the lower predicate calculus. Czech: O algebře nižšího predikátového počtu, mimeographed lectures, Matematický ustav, Praha 1951.
[6] L. Rieger: On countable generalized \(\sigma\)-algebras, with a new proof of Gödel’s completeness theorem. Czech. Math. J., Vol. 1 (76) (1951), 29-40. · Zbl 0045.15002
[7] L. Rieger: On Free \(\aleph_ \xi\)-complete Boolean Algebras. Fund. Math. XXXVIII (1951), 35-52. · Zbl 0044.26103
[8] D. Hilbert P. Bernays: Grundlagen der Mathematik II. Springer, Berlin 1939. · JFM 65.0021.02
[9] P. Bernays: A system of axiomatic set-theory VI. Journ. of Symb. Log. 13 (1948), 67-79. · Zbl 0030.11502
[10] K. Kuratowski A. Mostowski: Teoria mnogości. Warszawa 1952. · Zbl 0047.05309
[11] J. v. Neumann: Über eine Widerspruchsfreiheitsfrage in der axiomatischen Mengenlehre. J. f. reine und angew. Math. 160 (1931), 227-241. · JFM 55.0052.02
[12] K. Kuratowski: Ann. Soc. Pol. de Math. 3 (1924), 146.
[13] Hao Wang R. Mc Naughton: Les systémes axiomatiques de la théorie des ensembles. Paris, Gauthier Villars, 1953. · Zbl 0050.05001
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