Ernst Friedrich Ferdinand Zermelo (/ z ɜːr ˈ m ɛ l oʊ /; German: [tsɛɐ̯ˈmeːlo]; 27 July 1871 – 21 May 1953) was a German logician and mathematician, whose work has major implications for the foundations of mathematics.

In set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.

Zermelo set theory (sometimes denoted by Z-), as set out in a seminal paper in 1908 by Ernst Zermelo, is the ancestor of modern Zermelo–Fraenkel set theory (ZF) and its extensions, such as von Neumann–Bernays–Gödel set theory (NBG). It bears certain differences from its descendants, which are not always understood, and are frequently ...

2013年7月2日 · Zermelo shows that, on the basis of his system, the two central paradoxes, that of the greatest set and that of Russell, cannot arise. In fact, Zermelo proves: Every set M possesses at least one subset M 0 that is not an element of M. (1908b: 265)

Ernst Zermelo was a German mathematician who did pioneering work on the foundations of mathematics. Ernst Zermelo's parents were Ferdinand Zermelo and Maria Augusta Elisabeth Ziegler. His father was a college professor so Zermelo was brought up in a family where academic pursuits were encouraged.

This paper sets out to explore the basics of Zermelo-Fraenkel (ZF) set theory without choice. We will take the axioms (excluding the axiom of choice) as givens to construct and de ne

Ernst Friedrich Ferdinand Zermelo (July 27, 1871, Berlin, German Empire – May 21, 1953, Freiburg im Breisgau, West Germany) was a German mathematician, whose work has major implications for the foundations of mathematics.

This biography sheds light on all facets of the life and the achievements of Ernst Zermelo (1871-1953). Zermelo is best-known for the statement of the axiom of choice and his axiomatization of set theory. However, he also worked in applied mathematics and mathematical physics.

biography of Zermelo the mathemati-cian and scientist, as well as an insightful description of Zermelo’s professional and personal life, and his interactions with colleagues and adversaries. Zermelo left Planck’s Institute in 1897 for further study in theoretical physics at Go¨ttingen, which resulted in an Habilitation thesis on hydrody-

Ernst Friedrich Ferdinand Zermelo (July 27, 1871 – May 21, 1953) was a German mathematician, whose work has major implications for the foundations of mathematics and hence on philosophy. He is known for his proof of the well-ordering theorem and his axiomatization of set theory.