A contribution to Gödel's axiomatic set theory, I

Ladislav Rieger

Czechoslovak Mathematical Journal (1957)

  • Volume: 07, Issue: 3, page 323-357
  • ISSN: 0011-4642

How to cite

top

Rieger, Ladislav. "A contribution to Gödel's axiomatic set theory, I." Czechoslovak Mathematical Journal 07.3 (1957): 323-357. <http://eudml.org/doc/11888>.

@article{Rieger1957,
author = {Rieger, Ladislav},
journal = {Czechoslovak Mathematical Journal},
keywords = {foundations of mathematics, philosophy, logic},
language = {eng},
number = {3},
pages = {323-357},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A contribution to Gödel's axiomatic set theory, I},
url = {http://eudml.org/doc/11888},
volume = {07},
year = {1957},
}

TY - JOUR
AU - Rieger, Ladislav
TI - A contribution to Gödel's axiomatic set theory, I
JO - Czechoslovak Mathematical Journal
PY - 1957
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 07
IS - 3
SP - 323
EP - 357
LA - eng
KW - foundations of mathematics, philosophy, logic
UR - http://eudml.org/doc/11888
ER -

References

top
  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. (1940) 
  2. A. Tarski, Grundzüge des Systemenkalküls I, Fund. Math. XXV (1935), 503-526; II ibid. XXVI (1936), 283-301. (1935) Zbl0012.38501
  3. A. Mostowski, Abzählbare Boolsche Körper und ihre Anwendung in der Metamatematik, Fund. Math. XXIX (1937), 34-53. (1937) 
  4. А. Mostowski, An undecidable Arithmetical Statement, Fund. Math. XXXIV (1949), 143-164. (1949) Zbl0039.00802MR0035721
  5. L. Rieger, On the algebra of the lower predicate calculus, Czech: О algebře nižšího predikátového počtu, mimeographed lectures, Matematický ustav, Praha 1951. (1951) 
  6. L. Rieger, On countable generalized σ -algebras, with a new proof of Gödel’s completeness theorem, Czech. Math. J., Vol. 1 (76) (1951), 29-40. (1951) MR0050560
  7. L. Rieger, On Free ξ -complete Boolean Algebras, Fund. Math. XXXVIII (1951), 35-52. (1951) MR0050561
  8. D. Hilbert P. Bernays, Grundlagen der Mathematik II, Springer, Berlin 1939. (1939) MR0272596
  9. P. Bernays, 10.2307/2267328, Journ. of Symb. Log. 13 (1948), 67-79. (1948) Zbl0030.11502MR0025421DOI10.2307/2267328
  10. K. Kuratowski A. Mostowski, Teoria mnogości, Warszawa 1952. (1952) MR0054684
  11. J. v. Neumann, Über eine Widerspruchsfreiheitsfrage in der axiomatischen Mengenlehre, J. f. reine und angew. Math. 160 (1931), 227-241. (1931) 
  12. K. Kuratowski, [unknown], Ann. Soc. Pol. de Math. 3 (1924), 146. (After [K-M], p. 233.) (1924) 
  13. Hao Wang R. Mc Naughton, Les systémes axiomatiques de la théorie des ensembles, Paris, Gauthier Villars, 1953. (1953) MR0059213

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.