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Utah State University: DigitalCommons@USU
Article . 1965
License: PDM
Full-Text: https://digitalcommons.usu.edu/gradreports/1129
Data sources: Bielefeld Academic Search Engine (BASE)
https://dx.doi.org/10.26076/b0...
Other literature type . 1965
Data sources: Datacite
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Axiomatic Set Theory

descriptionPublicationkeyboard_double_arrow_right Other literature type , Article 01 Jan 1965 United States Publisher:DigitalCommons@USU
Authors: Smit, Ronald P.;

doi: 10.26076/b0ab-3764

Axiomatic Set Theory

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.

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United States
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Keywords

equivalence relations, axioms, ordered pairs, Other Mathematics, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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