Date of Award
5-1965
Degree Type
Report
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
Committee Chair(s)
Konrad Suprunowicz
Committee
Konrad Suprunowicz
Abstract
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.
Recommended Citation
Smit, Ronald P., "Axiomatic Set Theory" (1965). All Graduate Plan B and other Reports, Spring 1920 to Spring 2023. 1129.
https://digitalcommons.usu.edu/gradreports/1129
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