Ernst Zermelo

(redirected from Zermelo)
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Zermelo, Ernst

 

Born July 27, 1871, in Berlin; died May 21, 1953, in Freiburg. German mathematician.

Zermelo graduated from the University of Berlin in 1894. His principal works deal with set theory, for which he provided a general axiomatization. He proved that every set can be well-ordered. His contributions influenced the development of set theory and generated considerable discussion. Zermelo also produced works dealing with the calculus of variations and with problems of the application of probability theory to statistical mechanics.

REFERENCE

Serpinskii, V. K. “Aksioma Zermelo i ee rol’ v teorii mnozhestv i v analize.” Matematicheskii sbornik, 1922, vol. 31, issue 1.
The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
The axiomatization of the theory of multitudes, attempted by Zermelo, stopped before an exhaustive inclusion.
The irreducibility scale
The view might even have been held by Ernst Zermelo, who, according to Penelope Maddy, subscribed to a one-step-back-from-disaster rule of thumb: if a natural principle leads to contradiction, the principle should be weakened just enough to block the contradiction.
Mind: Vol. 126, No. 502, April 2017
"[Ernst] Zermelo introduced the Axiom of Choice explicitly in 1904, in a brief paper in which he used it to prove that every set is well orderable.
Whitman and mathematics: an introduction
In 1922 the logicians Ernst Zermelo and Abraham Fraenkel produced a collection of axioms that, together with another axiom called the axiom of choice, serves as the basis for a large portion of mathematics (the theory of sets, which can model what one normally thinks of as arithmetic).
The Matter of Mathematics
For our purposes, the most important feature is given by the following theorem (see Zermelo 1913; Kuhn 1953; or Fudenberg and Tirole 1991 for details).
Structural estimation of sequential games of complete information
Encyclopedia browser ?
Full browser ?