Dependences between definitions of finiteness

Ladislav Spišiak; Peter Vojtáš

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 3, page 389-397
  • ISSN: 0011-4642

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Spišiak, Ladislav, and Vojtáš, Peter. "Dependences between definitions of finiteness." Czechoslovak Mathematical Journal 38.3 (1988): 389-397. <http://eudml.org/doc/13713>.

@article{Spišiak1988,
author = {Spišiak, Ladislav, Vojtáš, Peter},
journal = {Czechoslovak Mathematical Journal},
keywords = {finite set; finiteness},
language = {eng},
number = {3},
pages = {389-397},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dependences between definitions of finiteness},
url = {http://eudml.org/doc/13713},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Spišiak, Ladislav
AU - Vojtáš, Peter
TI - Dependences between definitions of finiteness
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 3
SP - 389
EP - 397
LA - eng
KW - finite set; finiteness
UR - http://eudml.org/doc/13713
ER -

References

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  2. J. D. Halpern P. E. Howard, Cardinals m such that 2m = m, Proc. Amer. Math. Soc. 26 (1970) 487-490. (1970) Zbl0223.02055MR0268034
  3. J. D. Halpern P. E. Howard, 10.1090/S0002-9904-1974-13510-X, Bull. Amer. Math. Soc. 80 (1974) 584-586. (1974) Zbl0291.02045MR0329890DOI10.1090/S0002-9904-1974-13510-X
  4. T. Jech, Eine Bemerkung zum Auswahlaxiom, Časopis Pěst. Mat. 93 (1968), 30-31. (1968) Zbl0167.27402MR0233706
  5. T. Jech, The Axiom of Choice, Studies in Logic and the Foundation of Mathematics 75, North Holland, Amsterdam 1973. (1973) Zbl0259.02052MR0396271
  6. T. Jech A. Sochor, Applications of the Θ -model, Bull. Acad. Polon. Sci. 16 (1966) 351-355. (1966) Zbl0168.01002MR0228337
  7. A. Levy, The independence of various definitions of finiteness, Fund. Math. XLVI (1958) 1-13. (1958) Zbl0089.00702MR0098671
  8. A. Levy, Basic Set Theory. Ω Perspectives in Mathematical Logic, Springer-Verlag 1979. (1979) Zbl0404.04001MR0533962
  9. A. R. D. Mathias, 10.1007/BF02025889, Periodica Math. Hungarica 10 (1979) 109-175. (1979) Zbl0417.03021MR0539225DOI10.1007/BF02025889
  10. G. Sageev, 10.1016/0003-4843(75)90002-9, Ann. Math. Logic 8(1975) 1-184. (1975) Zbl0306.02060MR0366668DOI10.1016/0003-4843(75)90002-9
  11. G. Sageev, A model of ZF in which the Dedekind cardinals constitute a natural nonstandard model of Arithmetic, To appear. Zbl0523.03038
  12. W. Sierpinski, Cardinal and ordinal numbers, PWN, Warszawa 1958. (1958) Zbl0083.26803MR0095787
  13. L. Spišiak, Definitions of finiteness, To appear. Zbl0804.03044
  14. A. Tarski, Sur quelques théorèmes qui équivalent a l'axiome du choix, Fund. Math. 5 (1924) 147-154. (1924) Zbl50.0135.01
  15. A. Tarski, Sur les ensembles finis, Fund. Math. 6 (1924) 45-95. (1924) Zbl50.0135.02
  16. J. Truss, Classes of Dedekind finite cardinals, Fund. Math. To appear. Zbl0292.02049MR0469760

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