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Generically, an alternative set theory is an alternative mathematical approach to the concept of set. It is a proposed alternative to the standard set theory.
Some of the alternative set theories are:
Specifically, Alternative Set Theory (or AST) refers to a particular set theory developed in the 1970s and 1980s by Cantor (ZF) finite sets and they are called infinite in AST.
Set theory, Pi, Venn diagram, Empty set, Axiomatic set theory
Set theory, Axiomatic set theory, Axiom schema, Axiom of extensionality, Alternative set theory
Axiom of choice, Mathematical logic, Category theory, Mathematics, Foundations of mathematics