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Topic: Ernst Friedrich Ferdinand Zermelo

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	Ernst Zermelo
		Zermelo remained at the University of Berlin where he was appointed assistant to Planck and under his guidance began to study hydrodynamics.
		Zermelo began to work on the problems of set theory and in 1902 published his first work concerning the addition of transfinite cardinals[?].
		At the end of the World War II Zermelo requested that he be reinstated to his honorary position in Freiburg and indeed he was reinstated to the post in 1946.
	www.ebroadcast.com.au /lookup/encyclopedia/ze/Zermelo.html (439 words)

	Zermelo, Ernst Friedrich Ferdinand (Site not responding. Last check: 2007-11-01)
		Zermelo was born in Berlin and studied at Halle and Freiburg.
		In 1900 Zermelo provided an ingenious proof to the well-ordering theorem, which states that every set can be well ordered (that is, can be arranged in a series in which each subclass - not being null - has a first term).
		In 1904 Zermelo defined the axiom of choice, the use of which had previously been unrecognized in mathematical reasoning.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/Z/Zermelo/1.html (220 words)

	Ernst Zermelo - Biocrawler (Site not responding. Last check: 2007-11-01)
		Ernst Friedrich Ferdinand Zermelo (July 27, 1871 – May 21, 1953) was a German mathematician and philosopher.
		The first of these, a problem of set theory, was the continuum hypothesis introduced by Cantor in 1878.
		See the article on Zermelo set theory for an outline of this paper, together with the original axioms, with the original numbering.
	www.biocrawler.com /encyclopedia/Zermelo (562 words)

	Zermelo
		Although Zermelo certainly gained fame for his proof of the well ordering property, set theory at this time was in the rather unusual position that many mathematicians rejected the type of proofs that Zermelo had discovered.
		As this quote indicates, Zermelo's reaction to these criticisms was to try to prove the well ordering property with a proof that would find more widespread acceptance, and this he succeeded in doing in the paper Neuer Beweis which he published in 1908.
		Zermelo made other fundamental contributions to axiomatic set theory which were partly a consequence of the criticism of his first major contribution to the subject and partly because set theory began to become an important research topic at Göttingen.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Zermelo.htm (1309 words)

	Ernst Friedrich Ferdinand Zermelo
		Ernst Zermelo's father was a college professor, so Zermelo was brought up in a family where academic pursuits were encouraged.
		Zermelo began to work on the problems of set theory, in particular taking up Hilbert's idea to head towards a resolution of the problem of the continuum hypothesis.
		Zermelo's reaction to these criticisms was to try to prove the well ordering property with a proof that would find more widespread acceptance, and this he succeeded in doing in 1908.
	www.stetson.edu /~efriedma/periodictable/html/Zr.html (773 words)

	BookRags: Ernst Friedrich Ferdinand Zermelo Biography
		Ernst Friedrich Ferdinand Zermelo made major contributions to mathematics in the area of set theory, especially by extending David Hilbert's work in solving the continuum hypothesis.
		Zermelo was born in Berlin, Germany on July 27, 1871.
		Zermelo, who was beginning to suffer from poor health, left the University of Gôttingen in 1910 to take up the chair of mathematics at the University of Zurich in Switzerland.
	www.bookrags.com /biography/ernst-friedrich-ferdinand-zermelo-wom (517 words)

	AT&T Worldnet Service - Directory
		Zermelo - Ernst Friedrich Ferdinand Zermelo (1871-1953) - http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Zermelo.html
		Zermelo in 1908 was the first to attempt an axiomatisation of set theory
		Gauss - Carl Friedrich Gauss (1777-1855) - http://www.geocities.com/RainForest/Vines/2977/gauss/gauss.html
	dailynews.att.net /cgi-bin/webdrill?catkey=gwd/Top/Science/Math/History/People (1114 words)

	Open Directory - Science: Math: History: People (Site not responding. Last check: 2007-11-01)
		Bessel - Friedrich Wilhelm Bessel (1784-1846) - Catalogued stars, predicted a planet beyond Uranus as well as the existence of dark stars, investigated Johann Kepler's problem of heliocentricity, and systematized the mathematical functions involved, which now bear his name.
		Gauss, Johann Carl Friedrich (1777-1855) - One of the all-time greats, Gauss began to show his mathematical brilliance at the early age of seven.
		Zermelo - Ernst Friedrich Ferdinand Zermelo (1871-1953) - Zermelo in 1908 was the first to attempt an axiomatisation of set theory
	dmoz.org /Science/Math/History/People (1184 words)

	SEP: Set Theory
		In the early 1900s it became clear that one has to state precisely what basic assumptions are made in Set Theory; in other words, the need has arisen to axiomatize Set Theory.
		This was done by Ernst Zermelo, and the immediate reasons for his axioms were twofold.
		Zermelo proved that indeed every set can be well-ordered, but only after he introduced a new axiom that did not seem to follow from the other, more self-evident, principles.
	plato.stanford.edu /entries/set-theory (3279 words)

	OEDILF
		The axiom of choice, which can be neither proven nor disproven and so must be taken as an initial assertion, applies only to collections of non-empty sets.
		Although it had long been implicit in mathematical proofs, it was first formally proposed by Ernst Friedrich Ferdinand Zermelo in 1904.
		Many branches of mathematics rely upon the axiom of choice; however, it doesn't appear to be needed to explain the physical world.
	www.oedilf.com /db/Lim.php?VerseId=A6506 (187 words)

	People (Site not responding. Last check: 2007-11-01)
		Click on the Image for more information about Ernst Zermelo
		Zermelo is best known for his work on the axiom of choice and axiomatic set theory.
		After studying the set paradoxes, he made the first attempt to axiomatise set theory in 1908.
	ergo.ucsd.edu /~movellan/courses/201e/people/Zermelo.html (81 words)

	Mirago : Science: Math: Logic and Foundations: History: People: Zermelo, Ernst
		Top: Science: Math: Logic and Foundations: History: People: Zermelo, Ernst
		Ernst Friedrich Ferdinand Zermelo - Describes educational background and motivation towards working on set theory and the continuum hypothesis.
		Ernst Zermelo - Biography from the MacTutor History of Mathematics archive.
	www.mirago.com /scripts/dir.aspx?cat=Top/Science/Math/Logic_and_Foundations/History/People/Zermelo,_Ernst (97 words)

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