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Axiomatic Set Theory, Ronald P. Smit
Axiomatic Set Theory, Ronald P. Smit
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
An analysis of the well known paradoxes found in intuitive set theory has led to the reconstruction of set theory by axiomatic means. This exposition is devoted to Zermelo-Fraenkel set theory with some changes made by Suppes.
The first order predicate calculus is presupposed. In addition to the usual quantifiers admitted, a unique existential quantifier is used. The primitive notions of the set theory are the empty set and the two place membership predicate.