Ernst Friedrich Ferdinand Zermelo (/zɜːrˈmɛloʊ/, German:[tsɛɐ̯ˈmeːlo]; 27 July 1871 – 21 May 1953) was a German logician and mathematician, whose work has major implications for the foundations of mathematics. He is known for his role in developing Zermelo–Fraenkel axiomatic set theory and his proof of the well-ordering theorem. Furthermore, his 1929[1] work on ranking chess players is the first description of a model for pairwise comparison that continues to have a profound impact on various applied fields utilizing this method.
^Zermelo, Ernst (1929). "Die Berechnung der Turnier-Ergebnisse als ein Maximumproblem der Wahrscheinlichkeitsrechnung". Mathematische Zeitschrift. 29 (1): 436–460. doi:10.1007/BF01180541. S2CID 122877703.
Ernst Friedrich Ferdinand Zermelo (/zɜːrˈmɛloʊ/, German: [tsɛɐ̯ˈmeːlo]; 27 July 1871 – 21 May 1953) was a German logician and mathematician, whose work...
Zermelo set theory (sometimes denoted by Z-), as set out in a seminal paper in 1908 by ErnstZermelo, is the ancestor of modern Zermelo–Fraenkel set theory...
about the relation between the absolute and God. Georg Cantor (1932). ErnstZermelo (ed.). Gesammelte Abhandlungen mathematischen und philosophischen Inhalts...
numbers. It was first published by ErnstZermelo as part of his set theory in 1908. In the formal language of the Zermelo–Fraenkel axioms, the axiom is as...
is named after John von Neumann, although it was first published by ErnstZermelo in 1930. The rank of a well-founded set is defined inductively as the...
{\displaystyle i\in I} . The axiom of choice was formulated in 1904 by ErnstZermelo in order to formalize his proof of the well-ordering theorem. In many...
axiom of union is one of the axioms of Zermelo–Fraenkel set theory. This axiom was introduced by ErnstZermelo. Informally, the axiom states that for...
equivalent to global choice rather than von Neumann's axiom. In 1930, ErnstZermelo defined models of set theory satisfying the axiom of limitation of size...
81–125 Reprinted in: Georg Cantor (1932), Adolf Fraenkel (Lebenslauf); ErnstZermelo (eds.), Gesammelte Abhandlungen mathematischen und philosophischen Inhalts...
musician ErnstZermelo, set theorist Ernst Ziegler (1894-1974), German actor Ernst Zündel (1939-2017), German neo-Nazi and Holocaust denier Ernst, pseudonym...
axiomatic set theory, especially his additions to ErnstZermelo's axioms, which resulted in the Zermelo–Fraenkel set theory. Abraham Adolf Halevi Fraenkel...
entire structure of mathematics. Mathematicians such as Gottlob Frege, ErnstZermelo, Abraham Fraenkel, and Thoralf Skolem put much effort into revising...
Cantor perceived himself as having been publicly humiliated. Although ErnstZermelo demonstrated less than a day later that König's proof had failed, Cantor...
theories that include either Zermelo's axiom of restricted comprehension, or the axiom of regularity and axiom of pairing. In Zermelo–Fraenkel set theory, the...
Proofs. Elsevier. ISBN 0-444-86839-9. Heinz-Dieter Ebbinghaus (2007). ErnstZermelo: An Approach to His Life and Work. Springer Science & Business Media...
M. Solovay Mikhail Yakovlevich Suslin John R. Steel Gaisi Takeuti Alfred Tarski W. Hugh Woodin ErnstZermelo Association for Symbolic Logic The Cabal...
Global Information