An elimination of infinitely small quantities and infinitely large numbers (within the framework of AST)

Karel Čuda

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 3, page 433-445
  • ISSN: 0010-2628

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Čuda, Karel. "An elimination of infinitely small quantities and infinitely large numbers (within the framework of AST)." Commentationes Mathematicae Universitatis Carolinae 021.3 (1980): 433-445. <http://eudml.org/doc/17047>.

@article{Čuda1980,
author = {Čuda, Karel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {alternative set theory; infinitely large natural number; indiscernibility equivalence; endomorphic universe with standard extension},
language = {eng},
number = {3},
pages = {433-445},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An elimination of infinitely small quantities and infinitely large numbers (within the framework of AST)},
url = {http://eudml.org/doc/17047},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Čuda, Karel
TI - An elimination of infinitely small quantities and infinitely large numbers (within the framework of AST)
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 3
SP - 433
EP - 445
LA - eng
KW - alternative set theory; infinitely large natural number; indiscernibility equivalence; endomorphic universe with standard extension
UR - http://eudml.org/doc/17047
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. MR0505469
  2. A. SOCHOR, Differential calculus in the Alternative Set Theory, Set Theory and Hierarchy Iheory V, Lecture Notes in Math. 619. Zbl0434.03037MR0472524
  3. A. SOCHOR P. VOPĚNKA, Endomorphic universes and their standard extensions, Comment. Math. Univ. Carolinae 20 (1979), 605-629. (1979) MR0555178
  4. P. VOPĚNKA, Mathematics in the alternative set theory, Teubner-Texte Leipzig 1979. (1979) MR0581368
  5. P. VOPĚNKA, The lattice of indiscernibility equivalences, Comment. Math. Univ. Carolinae 20 (1979), 631-638. (1979) MR0555179

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