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Ernst Friedrich Ferdinand Zermelo

Born: 1871-07-27 in Berlin
Died: 1953-05-21 in Freiburg im Breisgau

Mathematician who did research in:

Significant work:

An modification of his axiomatic system, called Zermelo-Fraenkel, is still the most widely used such system today. Zermelo's original axioms:

  1. Axiom of Extensionality
  2. Axiom of Elementary Sets
  3. Axiom of Separation
  4. Power Set Axiom
  5. Union Axiom
  6. Axiom of Choice
  7. Axiom of Infinity

ZF's axioms:

  1. Axiom of Extensionality
  2. Power Set Axiom
  3. Union Axiom
  4. Axiom of Infinity
  5. Foundation Axiom
  6. Selection Axiom


  1. Omega Help Index: http://www.ags.uni-sb.de/~omega/omegaindex/theories/zermelo-fraenkel.html
  2. MacTutor History of Mathematics: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Zermelo.html