On countable generalised σ -algebras, with a new proof of Gödel’s completeness theorem

Ladislav Rieger

Czechoslovak Mathematical Journal (1951)

  • Volume: 01, Issue: 1, page 29-40
  • ISSN: 0011-4642

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Rieger, Ladislav. "On countable generalised $\sigma $-algebras, with a new proof of Gödel’s completeness theorem." Czechoslovak Mathematical Journal 01.1 (1951): 29-40. <http://eudml.org/doc/11683>.

@article{Rieger1951,
author = {Rieger, Ladislav},
journal = {Czechoslovak Mathematical Journal},
keywords = {logic},
language = {eng},
number = {1},
pages = {29-40},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On countable generalised $\sigma $-algebras, with a new proof of Gödel’s completeness theorem},
url = {http://eudml.org/doc/11683},
volume = {01},
year = {1951},
}

TY - JOUR
AU - Rieger, Ladislav
TI - On countable generalised $\sigma $-algebras, with a new proof of Gödel’s completeness theorem
JO - Czechoslovak Mathematical Journal
PY - 1951
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 01
IS - 1
SP - 29
EP - 40
LA - eng
KW - logic
UR - http://eudml.org/doc/11683
ER -

References

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  1. G. Birkhoff, Lattice Theory, , Am. Math. Soc. Coll. Publ. XXV. Sec. Ed. 1948. (1948) Zbl0033.10103
  2. K. Gödel, Die Vollständigkeit der Axiome des logischen Funktionenkalküls, Mh. Math. Ph. 37 (1930). (1930) 
  3. D. Hilbert W. Ackermann, Grundzüge der theoretischen Logik, Grundl. d. math. Wiss. XXVII Springer, Zw. A. 1938. (1938) 
  4. D. Hilbert P. Bernays, Grundlagen der Mathematik, Bd. II, Springer 1939. (1939) 
  5. L. Henkin, 10.2307/2267044, J. Symb. L. 14, (1949), 159-166. (1949) MR0033781DOI10.2307/2267044
  6. H. L. Loomis, 10.1090/S0002-9904-1947-08866-2, Bull. Am. Math. Soc. 53 (1947), 757-760. (1947) Zbl0033.01103MR0021084DOI10.1090/S0002-9904-1947-08866-2
  7. H. Mac Neille, 10.1073/pnas.22.1.45, Proc. Nat. Ac. USA, 22 (1936), 45-50. (1936) DOI10.1073/pnas.22.1.45
  8. A. Mostowski, Logika matematyczna, Monografie mat., Warszawa, 1948. (1948) MR0026972
  9. A. Mostowski, Abzählbare Boolesche Körper und ihre Anwendung in der Metamathematik, Fund. Math. 29 (1937), 34-53. (1937) 
  10. L. Rieger, On ℵ ξ -complete free Boolean Algebras, (With an application to logic.) (To appear in Fund. Math. 1951.) (1951) MR0050561
  11. R. Sikorski, 10.4064/fm-35-1-247-258, Fund. Math. 35 (1948), 247-258. (1948) Zbl0035.01704MR0028374DOI10.4064/fm-35-1-247-258

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