What is Zermelo Frank set theory? | Philosophy

Zermelo-Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system proposed in the early twentieth century to formulate a theory of sets free of paradoxes such as Russell's paradox. This set theory serves as the foundation of modern mathematics and provides a framework for defining and manipulating sets in a coherent and consistent manner. With its rigorous axioms and logical principles, Zermelo-Fraenkel set theory has become a fundamental tool for mathematicians and researchers in various fields, allowing for the development of complex mathematical structures and the exploration of abstract concepts within the realm of set theory.

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