ProofWiki:Mathematicians/Abraham Fraenkel
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Abraham Halevi (Adolf) Fraenkel (in Hebrew: אברהם הלוי (אדולף) פרנקל) was a German-born Israeli Hungarian mathematician best known for his work on axiomatic set theory.
He improved Ernst Zermelo's axiomatic system, and out of that work came the Zermelo-Fraenkel axioms.
He also wrote on topics in the history of mathematics.
Contents |
Nationality
Israeli; born in Germany
History
- Born: February 17, 1891 Munich, Germany
- Died: October 15, 1965 Jerusalem, Israel
Theorems and Definitions
- Zermelo-Fraenkel axioms: ZF and ZFC (with Ernst Zermelo)
- Fraenkel-Mostowski Permutation Method (with Andrzej Mostowski)
Books and Papers
- 1919: Einleitung in die Mengenlehre
- 1922: The notion of 'definite' and the independence of the axiom of choice
- 1960: Jewish mathematics and astronomy
- 1953: Abstract Set Theory
- 1958: Foundations of Set Theory (with Yehoshua Bar-Hillel)
- 1938: Historical introduction to Axiomatic Set Theory by Paul Bernays
- 1966: Set Theory and Logic
- 1967: Lebenskreise: Aus den Erinnerungen eines jüdischen Mathematikers
- 1973: Foundations of Set Theory, 2nd Ed. (with Yehoshua Bar-Hillel, Azriel Levy and Dirk van Dalen)
