In this paper we sketch the development and give a model of the formal version of a generalization of the Alternative Set Theory.
@article{118653, author = {Nando Prati}, title = {Alternative set theory with elementary classes}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {35}, year = {1994}, pages = {193-203}, zbl = {0804.03042}, mrnumber = {1292595}, language = {en}, url = {http://dml.mathdoc.fr/item/118653} }
Prati, Nando. Alternative set theory with elementary classes. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 193-203. http://gdmltest.u-ga.fr/item/118653/
Forcing et negation de l'axiome de fondement, Mem. Acad. Sc. Belg., Tome XL, Fasc. 7, 1972. | Zbl 0286.02068
Sur la théorie des ensembles sans axiome de fondement, Bull. Soc. Math. Belg. 21 (1969), 16-56. (1969) | MR 0260588 | Zbl 0193.30601
Model Theory, North-Holland Publishing Company, Amsterdam, 1973. | MR 0409165 | Zbl 0697.03022
Set Theory over Classes, Dissertationes Mathematicae CVI, Warszawa, 1973. | MR 0319758 | Zbl 0343.02050
Eigentliche Klassen als Urelemente in der Mengenlehre, Math. Annalen 157 (1964), 234-260. (1964) | MR 0177878 | Zbl 0121.25603
A fuzzy Alternative Set Theory, Riv. Mat. Univ. Parma (4) 14 (1988), 181-191. (1988) | MR 1007079 | Zbl 0688.03035
Una Teoria di Insiemi Fuzzy ed Alternativi (in Italian), Tesi di Dottorato di Ricerca in Matematica, Dip. di Matematica Univ. di Pisa, 1988.
Metamathematics of the Alternative Set Theory I, Comment. Math. Univ. Carolinae 20 (1979), 697-721. (1979) | MR 0555184 | Zbl 0433.03028
Metamathematics of the Alternative Set Theory III, Comment. Math. Univ. Carolinae 24 (1983), 137-154. (1983) | MR 0703933 | Zbl 0531.03031
Mathematics in the Alternative Set Theory, Teubner Texte, Leipzig, 1979. | MR 0581368