Alternative set theory with elementary classes

Nando Prati

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 1, page 193-203
  • ISSN: 0010-2628

Abstract

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In this paper we sketch the development and give a model of the formal version of a generalization of the Alternative Set Theory.

How to cite

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Prati, Nando. "Alternative set theory with elementary classes." Commentationes Mathematicae Universitatis Carolinae 35.1 (1994): 193-203. <http://eudml.org/doc/247571>.

@article{Prati1994,
abstract = {In this paper we sketch the development and give a model of the formal version of a generalization of the Alternative Set Theory.},
author = {Prati, Nando},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Alternative Set Theory; axiomatic systems; interpretation; consistency; ultrapower; axiomatic systems; alternative set theory; classes that have classes as their elements; ultrapower},
language = {eng},
number = {1},
pages = {193-203},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Alternative set theory with elementary classes},
url = {http://eudml.org/doc/247571},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Prati, Nando
TI - Alternative set theory with elementary classes
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 1
SP - 193
EP - 203
AB - In this paper we sketch the development and give a model of the formal version of a generalization of the Alternative Set Theory.
LA - eng
KW - Alternative Set Theory; axiomatic systems; interpretation; consistency; ultrapower; axiomatic systems; alternative set theory; classes that have classes as their elements; ultrapower
UR - http://eudml.org/doc/247571
ER -

References

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  1. Boffa M., Forcing et negation de l'axiome de fondement, Mem. Acad. Sc. Belg., Tome XL, Fasc. 7, 1972. Zbl0286.02068
  2. Boffa M., Sur la théorie des ensembles sans axiome de fondement, Bull. Soc. Math. Belg. 21 (1969), 16-56. (1969) Zbl0193.30601MR0260588
  3. Chang C.C., Keisler H.J., Model Theory, North-Holland Publishing Company, Amsterdam, 1973. Zbl0697.03022MR0409165
  4. Oberschelp A., Set Theory over Classes, Dissertationes Mathematicae CVI, Warszawa, 1973. Zbl0343.02050MR0319758
  5. Oberschelp A., Eigentliche Klassen als Urelemente in der Mengenlehre, Math. Annalen 157 (1964), 234-260. (1964) Zbl0121.25603MR0177878
  6. Prati N., A fuzzy Alternative Set Theory, Riv. Mat. Univ. Parma (4) 14 (1988), 181-191. (1988) Zbl0688.03035MR1007079
  7. Prati N., Una Teoria di Insiemi Fuzzy ed Alternativi (in Italian), Tesi di Dottorato di Ricerca in Matematica, Dip. di Matematica Univ. di Pisa, 1988. 
  8. Sochor A., Metamathematics of the Alternative Set Theory I, Comment. Math. Univ. Carolinae 20 (1979), 697-721. (1979) Zbl0433.03028MR0555184
  9. Sochor A., Metamathematics of the Alternative Set Theory III, Comment. Math. Univ. Carolinae 24 (1983), 137-154. (1983) Zbl0531.03031MR0703933
  10. Vopěnka P., Mathematics in the Alternative Set Theory, Teubner Texte, Leipzig, 1979. MR0581368

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