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	Adolf Abraham Halevi Fraenkel - Wikipedia, the free encyclopedia
		Adolf Abraham Halevi Fraenkel (February 17, 1891 Munich, Germany - October 15, 1965 Jerusalem, Israel), known as Abraham Fraenkel, was an Israeli mathematician born and educated in Germany.
		Fraenkel studied mathematics at the University of Munich, University of Berlin, University of Marburg and University of Breslau; after graduating, he lectured at the University of Marburg from 1916, and was promoted to professor in 1922.
		Fraenkel was a fervent Zionist and as such was a member of Vaad Leumi, the executive committee of the Palestinian Jewish National Assembly under the British mandate.
	en.wikipedia.org /wiki/Adolf_Fraenkel (421 words)

	Abraham Adolf Fraenkel Biography \| Encyclopedia of World Biography
		Abraham Adolf Fraenkel was born on February 17, 1891, in Munich, Germany.
		Fraenkel's earliest research was on the p-adic numbers first described by Kurt Hensel in the late nineteenth century and on the theory of rings.
		Fraenkel published his conclusions on set theory in two separate works--a popular introductory textbook published in 1919 and a 1922 research article determining the independence of the axiom of choice.
	www.bookrags.com /biography/abraham-adolf-fraenkel (1677 words)

	Fraenkel biography
		Fraenkel was to spend the rest of his career at the Hebrew University, being appointed the first Dean of the Faculty of Mathematics, and serving as the rector of the university for a period.
		Fraenkel was also interested in the history of mathematics and wrote a number of important works on the topic.
		A number of Fraenkel's students have made important contributions to mathematics including Robinson who succeeded him when he retired from his chair at the Hebrew University.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Fraenkel.html (456 words)

	Albert Fraenkel (www.whonamedit.com)
		Albert Fraenkel was the son of David Eduard, a Jewish wine merchant, and his wife Sophie Traube.
		Following the death of Traube, Fraenkel remained with Traube's successor, Ernst Victor von Leyden (1832-1910) in the university medical clinic at the Charité.
		In 1887 Fraenkel became head of the women's clinic — Frauen-Siechenanstalt — in Berlin-Kreuzberg as well as a private clinic in the same part of the city.
	www.whonamedit.com /doctor.cfm/2873.html (395 words)

	Fraenkel, Abraham Adolf (Site not responding. Last check: 2007-11-04)
		Fraenkel, born in Munich, studied there and at Marburg, Berlin, and Breslau (now Wroclaw, Poland).
		Fraenkel became very involved with set theory as it had been formulated in 1908, in the axiomatic system put forward by German mathematician Ernst Zermelo.
		His research led him to posit an eighth axiom (to follow Zermelo's seventh), an axiom of replacement, which stated that if the domain of a single-valued function is a set, its counterdomain is also a set.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/F/Fraenkel/1.html (150 words)

	Heinz Fraenkel-Conrat Biography \| World of Genetics
		Fraenkel-Conrat was born July 29, 1910, in Breslau, Germany (now Wrocllaw, Poland) to Ludwig Fraenkel, a gynecologist who was famous for his discoveries concerning mammalian ovulation, and Lili Conrat Fraenkel.
		In 1960, using techniques similar to those in his protein work, he and his collaborators were able to determine the complete amino acid sequence--consisting of 158 amino acid residues--of the tobacco mosaic virus (TMV), making it the biggest protein of known structure at the time.
		Several years before Fraenkel- Conrat's virus research, scientists had determined that viruses contained a protein shell and nucleic acid the latter was believed to carry the virus's genetic information.
	www.bookrags.com /biography/heinz-fraenkel-conrat-wog (848 words)

	Wikinfo \| Axiomatic set theory
		He included in this system the axiom of choice, a truly controversial axiom that he needed to prove the well ordering theorem.
		This system was later refined by Adolf Fraenkel and Thoralf Skolem, giving the axioms used today.
		The axioms for set theory now most often studied and used, although put in their final form by Skolem, are called the Zermelo-Fraenkel axioms (ZF).
	www.wikinfo.org /wiki.php?title=Axiomatic_set_theory (1485 words)

	People (Site not responding. Last check: 2007-11-04)
		Click on the Image for more information about Adolf Fraenkel
		Fraenkel made two attempts, in 1922 and 1925, to put set theory into an axiomatic setting that avoided the paradoxes.
		He tried to improve the definitions of Zermelo and, within his axiom system, he proved the independence of the axiom of choice.
	ergo.ucsd.edu /~movellan/courses/201e/people/Fraenkel.html (107 words)

	Bibliography
		The Speeches of Adolf Hitler, April 1922-August 1939.
		Nicholls A. Weimar and the Rise of Hitler.
		Manvell, R and Fraenkel H. Adolf Hitler, The Man and The Myth.
	smoter.com /bibliogr.htm (1245 words)

	Hexapedia - Adolf Abraham Halevi Fraenkel (via CobWeb/3.1 planetlab-4.cs.princeton.edu) (Site not responding. Last check: 2007-11-04)
		Born in Munich, Germany on February 17 1891, Fraenkel studiet mathematics at the University of Munich, University of Berlin, University of Marburg and University of Breslau; after graduating, he lectured at the University of Marburg from 1916 on, and was promoted to professor in 1922.
		Fraenkel left Marburg six years later, in 1928; after a year of teaching at the University of Kiel, he moved to Jerusalem in 1929, four years after the Hebrew University of Jerusalem's founding, where he spent the rest of his career.
		Fraenkel's first work was on Hensel's p-adic numbers and on the theory of rings; he is, however, most well-known for his work on axiomatic set theory, publishing his first major work on the topic ("Einleitung in die Mengenlehre") in 1919.
	www.hexafind.com.cob-web.org:8888 /encyclopedia/Adolf_Fraenkel (263 words)

	The Mathematics Genealogy Project - Adolf Fraenkel (via CobWeb/3.1 planetlab-4.cs.princeton.edu) (Site not responding. Last check: 2007-11-04)
		Click here to see the students listed in chronological order.
		According to our current on-line database, Adolf Fraenkel has 1 students and 39 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.ams.org.cob-web.org:8888 /html/id.phtml?id=37810 (86 words)

	Abraham Adolf Fraenkel Books - Signed, used, new, out-of-print
		Your search: Books » Author: Abraham Adolf Fraenkel
		Clear-cut explanations cover natural numbers as cardinals, with discussions of positional notation and the...
		We guarantee the condition of every book, new or used.
	www.alibris.com /search/books/author/Abraham_Adolf_Fraenkel (181 words)

	UCLA College Library Exhibits
		Other kinds of Set Theory accomplished this by other means.
		The names of David Hilbert, Paul Bernays, Thoralf Skolem, Ernst Zermelo, and Adolf Fraenkel are associated to these efforts.
		From a well-founded theory of sets, it was hoped that one could build the whole edifice of mathematics.
	www.library.ucla.edu /libraries/college/nwsevnts/exhibits/msa (4612 words)

	Robert Hendrix & Mathematics From the View of the Hawk
		The first system of axiomatic set theory was developed by Ernst Zermelo in 1908.
		This was later improved by Adolf Fraenkel and Thoralf Skolem in 1922-23.
		Currently, standard axiomatic set theory, referred to as ZFC probably provides the most basic and workable system for mathematics from which such paradoxes apparently cannot be deduced.
	members.aol.com /meersalz/AAAMathematicsEssay.html (5675 words)

	Rudolf Carnap Bibliography
		A notice of Adolf Fraenkel Einleitung in die Mengenlehre 3.
		Auflage Annalen der Philosophie und philosophischen Kritik (Leipzig) Band 8 Heft 1/2 (15 May 1929), page 10 of separately paged "Literatureberichte."
		Review of Adolf Fraenkel Einleitung in die Mengenlehre 3.
	wso.williams.edu /~dmarshal/carnapbib.html (1634 words)

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