Version: v1, Published online: 1998
Retrieved May 21, 2019, from https://www.rep.routledge.com/articles/biographical/zermelo-ernst-1871-1953/v-1
The German mathematician Ernst Zermelo is today best known for his axiomatization of set theory (1908b), presented in the spirit of Hilbert’s early axiomatic programme. Originally working in the calculus of variations and mathematical physics, Zermelo concentrated on set theory after proving that every set can be well-ordered (1904). His proof, based on the axiom of choice, provoked a lively controversy. In the 1930s Zermelo worked on infinitary logic, trying to overcome Gödel’s incompleteness results.
Peckhaus, Volker. Zermelo, Ernst (1871–1953), 1998, doi:10.4324/9780415249126-Y086-1. Routledge Encyclopedia of Philosophy, Taylor and Francis, https://www.rep.routledge.com/articles/biographical/zermelo-ernst-1871-1953/v-1.
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