ProofWiki:Mathematicians/Ernst Zermelo
From ProofWiki
Ernst Friedrich Ferdinand Zermelo German mathematician best known for his work on the foundations of mathematics.
Laid the groundwork (later to be enhanced by Abraham Fraenkel) for what are now known as the Zermelo-Fraenkel axioms of axiomatic set theory.
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Nationality
Germany
History
- Born: July 27, 1871, Berlin, German Empire
- Died: May 21, 1953, Freiburg im Breisgau, West Germany
Theorems and Definitions
- Zermelo-Fraenkel axioms: ZF and ZFC (with Abraham Fraenkel)
- Zermelo's Theorem (Game Theory)
- Zermelo's Theorem (Set Theory)
Books and Papers
- 1904: Beweis dass jede Menge wohlgeordnet werden kann ("Proof that every set can be well-ordered") (Math. Ann. Vol. 59: 514 – 516)
- 1908: Neuer Beweis füe die Möglichkeit einer Wohlordnung ("A new proof of the possibility of well-ordering") (Math. Ann. Vol. 65: 107 – 128)
- 1908: Investigations in the foundations of set theory I
- 1913: On an Application of Set Theory to the Theory of the Game of Chess
- 1930: On boundary numbers and domains of sets: new investigations in the foundations of set theory
