Translation of nonstandard definitions to standard ones

Karel Čuda

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 4, page 615-634
  • ISSN: 0010-2628

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Čuda, Karel. "Translation of nonstandard definitions to standard ones." Commentationes Mathematicae Universitatis Carolinae 025.4 (1984): 615-634. <http://eudml.org/doc/17345>.

@article{Čuda1984,
author = {Čuda, Karel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {non-standard analysis; monad; figure; enlargement},
language = {eng},
number = {4},
pages = {615-634},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Translation of nonstandard definitions to standard ones},
url = {http://eudml.org/doc/17345},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Čuda, Karel
TI - Translation of nonstandard definitions to standard ones
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 4
SP - 615
EP - 634
LA - eng
KW - non-standard analysis; monad; figure; enlargement
UR - http://eudml.org/doc/17345
ER -

References

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  1. K. ČUDA, The relation between ε - δ procedures and the infinitely small in nonstandard methods, Set Theory and Hierarchy Theory V, Lecture Notes in Mathematics 619. s. 143-152. MR0505469
  2. K. ČUDA, An elimination of infinitely small quantities and infinitely large numbers (within the framework of AST), Comment. Math. Univ. Carolinae 21 (1980). s. 433-445. (1980) Zbl0445.03042MR0590124
  3. K. ČUDA, An elimination of the predicate "To be a standard number" in nonstandard models of arithmetic, Comment. Math. Univ. Carolinae 23 (1982). s. 785-803. (1982) MR0687572
  4. G. CHERLIN J. HIRSCHFELD, Ultrafilters and ultraproducts in non-standard analysis, Contributions to Non-Standard Analysis, Studies in Logic 69, s. 261-280. MR0485344
  5. W. A. J. LUXEMBURG, A general theory of monads, Applications of Model Theory to Algebra, Analysis, and Probability, Holt, Rinehart and Winston, Inc. s. 18-86. Zbl0207.52402MR0244931
  6. A. E. HURD, Nonstandard analysis of dynamical systems. I: Limit motions, stability, Transactions of the Am. Math. Soc. vol 160, Oct. 1971. s. 1-25. (1971) Zbl0251.34032MR0280827
  7. E. NELSON, Internal set theory: A new approach to non-standard analysis, BAMS vol. 83 (1977). s. 1165-1198. (1977) MR0469763
  8. A. SOCHOR, Differential calculus in the Alternative set theory, Set Theory and Hierarchy Theory V, Lecture notes in Mathematics 619. s. 273-284. Zbl0434.03037MR0472524

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