Abraham Adolf Fraenkel

Israeli mathematician

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July 16, 2026

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Abraham Adolf Fraenkel was an Israeli mathematician who made significant contributions to axiomatic set theory. He worked with Ernst Zermelo to refine Zermelo's axiomatic system for set theory, which became known as Zermelo-Fraenkel set theory (ZF). This system provides a rigorous foundation for mathematics by defining sets and their properties through a set of axioms, aiming to avoid the paradoxes that plagued earlier, more intuitive approaches to set theory. Fraenkel's work helped establish ZF as the standard framework for modern set theory.12

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set theory
The Zermelo-Fraenkel axioms
…Norwegian pioneer in metalogic, and Abraham Adolf Fraenkel, an Israeli mathematician. In the literature on set theory, it is called Zermelo-Fraenkel set theory and abbreviated ZFC (“C” because of the inclusion of the axiom of choice). See the
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…Norwegian pioneer in metalogic, and Abraham Adolf Fraenkel, an Israeli mathematician. In the literature on set theory, it is called Zermelo-Fraenkel set theory and abbreviated ZFC (“C” because of the inclusion of the axiom of choice). See the
Read More