Geodesic
Alternative set theory with elementary classes
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 193-203.

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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.
Classification : 03E70, 03H05, 03H20, 03H99
Keywords: Alternative Set Theory; axiomatic systems; interpretation; consistency; ultrapower 
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Prati, Nando. Alternative set theory with elementary classes. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 193-203. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a18/