Nonstandard models of arithmetic as an alternative basis for continuum considerations

Karel Čuda

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 3, page 415-430
  • ISSN: 0010-2628

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Čuda, Karel. "Nonstandard models of arithmetic as an alternative basis for continuum considerations." Commentationes Mathematicae Universitatis Carolinae 024.3 (1983): 415-430. <http://eudml.org/doc/17263>.

@article{Čuda1983,
author = {Čuda, Karel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nonstandard model of Peano arithmetic; alternative set theory; strong cut; indiscernibility relation; prolongation},
language = {eng},
number = {3},
pages = {415-430},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Nonstandard models of arithmetic as an alternative basis for continuum considerations},
url = {http://eudml.org/doc/17263},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Čuda, Karel
TI - Nonstandard models of arithmetic as an alternative basis for continuum considerations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 3
SP - 415
EP - 430
LA - eng
KW - nonstandard model of Peano arithmetic; alternative set theory; strong cut; indiscernibility relation; prolongation
UR - http://eudml.org/doc/17263
ER -

References

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  1. K. ČUBA P. VOPĚNKA, Real and imaginary classes in the alternative set theory, Comment. Math. Univ. Carolinae 20 (1979), 639-653. (1979) MR0555180
  2. H. J. KEISLER, Elementary Calculus: An Approach Using Infinitesimals, Prindle, Weber Schmidt, Boston, Massachusetts. 
  3. L. KIRBY J. PARIS, Initital segments of models of Peano's axioms, Set Theory and Hierarchy Theory V, Bierutowice, Poland 1976, Lect. Notes in Math. 619, 211-226. (1976) MR0491157
  4. K. Mc ALOON, Diagonal methods and strong cuts in models of arithmetic, (preprint). Zbl0458.03021MR0519812
  5. P. VOPĚNKA, Mathematics in the alternative set theory, Teubner-Texte, Leipzig, 1979. (1979) MR0581368

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