# Mathematician:Abraham Halevi Fraenkel

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## Contents

## Mathematician

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.

## 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 Friedrich Ferdinand Zermelo)
- Fraenkel-Mostowski Permutation Method (with Andrzej Mostowski)

Results named for **Abraham Halevi Fraenkel** can be found here.

Axioms named for **Abraham Halevi Fraenkel** can be found here.

## Publications

- 1908:
*Bestimmung des Datums des jüdischen Osterfestes für die Zeitrechnung der Mohammedaner* - 1909:
*Eine Formel zur Verwandlung jüdischer Daten in mohammedanische* - 1910:
*Die Berechnung des Osterfestes* - 1915:
*Über die Teiler der Null und die Zerlegung von Ringen* - 1919:
*Einleitung in die Mengenlehre* - 1922:
*The notion of 'definite' and the independence of the axiom of choice* - 1938: Historical introduction to
*Axiomatic Set Theory*by Paul Bernays - 1953:
*Abstract Set Theory* - 1958:
*Foundations of Set Theory*(with Yehoshua Bar-Hillel) - 1960:
*Jewish mathematics and astronomy* - 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)

## Also known as

In Hebrew: **אברהם הלוי (אדולף) פרנקל**

Originally known as **Adolf**, changed his name to **Abraham** when he moved to Palestine.

Hence some of his works can be found under the name **Abraham Adolf Fraenkel**, or **A.A. Fraenkel**.