Alternative Axiomatic Set Theories

[Revised entry by M. Randall Holmes on September 12, 2017. Changes to: Main text, Bibliography] By "alternative set theories" we mean systems of set theory differing significantly from the
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[Revised entry by M. Randall Holmes on September 12, 2017. Changes to: Main text, Bibliography] By "alternative set theories" we mean systems of set theory differing significantly from the dominant ZF (Zermelo-Frankel set theory) and its close relatives (though we will review these systems in the article). Among the systems we will review are typed theories of sets, Zermelo set theory and its variations, New Foundations and related systems, positive set theories, and constructive set theories. An interest in the range of alternative set theories does not presuppose an interest in replacing the dominant set...

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News source: Stanford Encyclopedia of Philosophy

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