21. Fraenkel Biography of Abraham fraenkel (18911965) adolf Abraham Halevi fraenkel.Born 17 Feb 1891 in Munich, Germany Died 15 Oct 1965 in Jerusalem, Israel http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Fraenkel.html

Adolf Abraham Halevi Fraenkel Born: 17 Feb 1891 in Munich, Germany Died: 15 Oct 1965 in Jerusalem, Israel Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Abraham Fraenkel , in common with most students in Germany in his time, studied for periods at different universities. He spent some time at the University of Munich, the University of Marburg, the University of Berlin and the University of Breslau. From 1916 he lectured at the University of Marburg, being promoted to professor there in 1922. In 1928 Fraenkel left Marburg and spent one year teaching at the University of Kiel. He was a fervent Zionist and, after leaving Kiel, he taught at the Hebrew University of Jerusalem from 1929, joining the university four years after its foundation. 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's first work was on Hensel 's p-adic numbers and on the theory of rings. However he is best known for his work on set theory, writing his first major work on the topic

22. F Index fraenkel, adolf (439*) Français, François (659) Français, Jacques (692) Francesca,Piero della (540*) Francoeur, Louis (301) Frank, Philipp (653) http://www-groups.dcs.st-and.ac.uk/~history/Indexes/F.html

Names beginning with F The number of words in the biography is given in brackets. A * indicates that there is a portrait. , Francesco (521*) Faber ,Georg (263) Fabri Fagnano, Giovanni Fagnano, Giulio Falconer , Etta (1284*) Faille , Charles de La (233*) Faltings , Gerd (275*) Fano , Gino (697*) Faraday , Michael (2159*) Farey , John (1137*) Farkas , Gyula (810) Fasenmyer , Mary (1272*) Farisi , Kamal al (1102) Fatou , Pierre (672*) Faulhaber , Johann (519*) Fawcett , Philippa (1985*) Fefferman , Charles (462*) Feigenbaum , Mitchell (2050*) Feigl , Georg (189*) Feldman , Naum (1110*) Feller , William (1665*) Fermat , Pierre de (2491*) Ferrar , Bill (547*) Ferrari , Lodovico (722) Ferrel , William (1916*) Ferro , Scipione del (1407) Feuerbach , Karl (337*) , Jean Le (542) Feynman , Richard (2533*) Fibonacci , Leonardo (2223*) Fields , John (1522*) Finck , Pierre-Joseph (367) Fincke , Thomas (213) Fine, Henry Fine, Nathan Fine, Oronce Finetti , Bruno de (1346) Forest , Erastus (706) Finsler , Paul (529*) Fischer , Ernst (128*) Fisher , Sir Ronald (1966*) Fiske , Thomas (500*) FitzGerald , George (3163*) Flamsteed , John (772*) Floer , Andreas (896*) Floquet , Achille (747) , Irmgard (357*) Fogels , Ernests (926) Fomin , Sergei (1118*) Fontaine des Bertins , A (555) Fontenelle , Bernard de (255*) Forsyth , Andrew (691*) Forti , Cesare Burali- (530) Foster , Alfred (1271) Fourier , Joseph (2156*) Fowler , Ralph (2443*) Fox , Charles (235*) Fox , Leslie (1665) Fraenkel , Adolf (439*) Francesca , Piero della (540*) Francoeur , Louis (301) Frank , Philipp (653) Franklin, Benjamin

23. Fraenkel, Adolf Abraham (1891-1965) -- From Eric Weisstein's World Of Scientific Branch of Science Mathematicians v Nationality German v. fraenkel,adolf Abraham (18911965). © Eric W. Weisstein. header http://scienceworld.wolfram.com/biography/Fraenkel.html

Branch of Science Mathematicians Nationality German Fraenkel, Adolf Abraham (1891-1965)

24. Adolf Born: Information From Answers.com Crown Prince s Hussar Regiment List of people by name MusMuz Mafalda MariaElisabetta of Savoy adolf Abraham Halevi fraenkel http://www.answers.com/topic/adolf-born

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Adolf Born Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); Adolf Born Miracles in Venezia by Adolf Born Adolf Born is a Czech painter and illustrator caricaturist and film-maker Adolf Born was born on June 12 in the town of on the Czech-Austrian border. During , Born studied Visual Art Education at the Pedagogical Faculty of the Charles University in Prague . Since the his works have been exhibited all over the world. In Born was awarded a prestigious Grand Prix prize in Montreal He made many ex libris , mostly by the technique of colour lithography. His pictures often mix fantasy worlds, people and animals. This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see Mentioned In Adolf Born is mentioned in the following topics: Ceske Velenice 1933 in architecture Inn District Adolf Pokorny ... Adolf Abraham Halevi Fraenkel Wikipedia information about Adolf Born This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article "Adolf Born" More from Wikipedia Your Ad Here Jump to: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Send this page Print this page Link to this page Tell me about:

25. Einstein Archives Online - Contents Of Folder 37-1 Translate this page Get full record from archival database, 37-10.00, 10/23/1928, fraenkel, adolf,Einstein, Albert 37-12.00, 10/26/1928, Einstein, Albert, fraenkel, adolf http://www.alberteinstein.info/db/ViewFolder.do?folder=37-1

26. Einstein Archives Online - Contents Of Folder 37-2 Translate this page 37-52.00, 02/16/1933, fraenkel, adolf, Einstein, Albert Get full recordfrom archival database, 37-72.00, 06/01/1933, fraenkel, adolf http://www.alberteinstein.info/db/ViewFolder.do?folder=37-2

27. Abraham Adolf Fraenkel Biography / Biography Of Abraham Adolf Fraenkel Main Biog Abraham adolf fraenkel Biography profile biographies life history. http://www.bookrags.com/biography/abraham-adolf-fraenkel/

Abraham Adolf Fraenkel Biography Literature Summaries Study Guides Essays Search BookRags.com English History Other Subjects Essays Biographies Research Topics eBooks Register Login Help Literature Study Guides ... Games Welcome, Guest Why not Login or Register Biography Navigation Main Biography How to Cite Order the PDF Home Biography Abraham Adolf Fraenkel Main Biography Complete Biographical Resource See related items by keyword: university theory mathematics munich ... meteorological service Name: Abraham Adolf Fraenkel Variant Name: Adolf Abraham Halevi Fraenkel Birth Date: February 17, 1891 Death Date: October 15, 1965 Place of Birth: Munich, Germany Place of Death: Jerusalem, Israel Nationality: Israeli, German Gender: Male Occupations: mathematician, logician Abraham Adolf Fraenkel Main Biography One of the fathers of modern logic, German-born mathematician Abraham Fraenkel (1891-1965) first became widely known for his work on set theory. Long fascinated by the pioneering work in set theory of fellow German Ernst Zermelo (1871-1953), Fraenkel launched research to put set theory into an axiomatic setting that improved the definitions of Zermelo's theory and proposed its own system of axioms. Within that system, Fraenkel proved the independence of the axiom of choice. The Zermelo-Fraenkel axioms of set theory, known collectively as ZF, are the standard axioms of axiomatic set theory on which, together with the axiom of choice, all of ordinary mathematics is based. When the axiom of choice is included, the resulting system is known as ZFC.

28. BookRags Biographies Abraham adolf fraenkel. Biography. Jean Honoré Fragonard. Biography. Anatole France.Biography Other Resources ›››. Francis Ferdinand. Biography http://www.bookrags.com/biography/F.html

Literature Summaries Study Guides Analysis Literature Summaries Study Guides Essays Search BookRags.com English History Other Subjects Essays Biographies Research Topics eBooks Register Login Help Literature Study Guides ... Games Welcome, Guest Why not Login or Register Home Biography Biographies Browse Category by Title Biographies Top 7 Biographies William Shakespeare Anne Frank Michael Jordan Mark Twain ... Marco Polo BookRags Biographies are the most complete biographical resource available. Each biography is written by a biographical expert, professional educator, or scholar of the individual. Our feature-rich biographies detail accomplishments and place the individual in a historical context. Get the Biography Pass Filter by Letter: All A B C ... Z All Biographies (Religion) (Religion) (Religion) (1900 to 1949 Discoveries) ... (World of Biology) 1 of 697 for Biographies - About Customer Service Report an Error Tests ... Argos

29. The Mathematics Genealogy Project - Adolf Fraenkel According to our current online database, adolf fraenkel has 1 students and 15descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=37810

30. The Mathematics Genealogy Project - Update Data For Adolf Fraenkel If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=37810

31. Fraenkel, Abraham Adolf fraenkel, Abraham adolf (18911965). German-born Israeli mathematician who wrotemany textbooks on set theory. He also investigated the axiomatic http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/F/Fraenkel/1.htm

Fraenkel, Abraham Adolf German-born Israeli mathematician who wrote many textbooks on set theory. He also investigated the axiomatic foundations of mathematical theories. Fraenkel, born in Munich, studied there and at Marburg, Berlin, and Breslau (now Wroclaw, Poland). He was professor at Marburg 1922-28. In 1929 he emigrated to Israel and taught until 1959 at the Hebrew University of Jerusalem. 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. He proposed in 1922 a solution for Zermelo's unexplained notion of a 'definite property', though his explanation did not become accepted. 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. Fraenkel's works include Einleitung in die Mengenlehre 1919, Abstract Set Theory 1953, and Foundations of Set Theory 1958.

32. Behring, Emil Von Emil adolf Behring was born on March 15, 1854 at Hansdorf, DeutschEylau as theeldest In 1890, L. Brieger and C. fraenkel prepared, from cultures of http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/B/Behring/1.html

Behring, Emil Adolf von Emil Adolf Behring Robert Koch . He remained there for several years after 1889, and followed Koch when the latter moved to the Institute for Infectious Diseases. This appointment brought him into close association, not only with Koch, but also with , who joined, in 1890, the brilliant team of workers Koch had gathered round him. In 1894 Behring became Professor of Hygiene at Halle, and the following year he moved to the corresponding chair at Marburg. Behring's most important researches were intimately bound up with the epoch-making work of Pasteur Koch Ehrlich Roux ... Yersin and others, which led the foundation of our modern knowledge of the immunology of bacterial diseases; but he is, himself, chiefly remembered for his work on diphtheria and on tuberculosis. During the years 1888-1890 E. Roux and A. Yersin, working at the Pasteur Institute in Paris, had shown that filtrates of diphtheria cultures which contained no bacilli, contained a substance which they called a toxin , that produced, when injected into animals, all the symptoms of diphtheria. In 1890, L. Brieger and C. Fraenkel prepared, from cultures of diphtheria bacilli, a toxic substance, which they called

33. The Science Bookstore - Books fraenkel, adolf. Der Streit um das Unendliche in der Mathematik. Bolonga Scientia,1925. Scientia, vols XXXVIII, n. CLXII9 and -10. http://www.thesciencebookstore.com/bookmain.asp?pg=3&bookcat=Mathematics

34. Math Lessons - Adolf Abraham Halevi Fraenkel Math Lessons adolf Abraham Halevi fraenkel. fraenkel left Marburg six yearslater, in 1928; after a year of teaching at the University of Kiel, http://www.mathdaily.com/lessons/Adolf_Fraenkel

Search Mathematics Encyclopedia and Lessons Lessons Popular Subjects algebra arithmetic calculus equations ... more References applied mathematics mathematical games mathematicians more ... 1965 deaths Adolf Abraham Halevi Fraenkel (Redirected from Adolf Fraenkel Adolf Abraham Halevi Fraenkel February 17 October 15 ), known as Abraham Fraenkel , was a German Israeli mathematician Born in Munich Germany on February 17 , 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 on, and was promoted to professor in Fraenkel left Marburg six years later, in ; after a year of teaching at the University of Kiel , he moved to Jerusalem in , four years after the Hebrew University of Jerusalem 's founding, where he spent the rest of his career. He became the first dean of the faculty of mathematics and also served as the rector of the university for a while. 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

35. MSN Encarta - Further Reading - Hitler, Adolf Manvell, Roger, and fraenkel, Heinrich. adolf Hitler the Man and the Myth.London Grafton, Debunking of Hitler s true character, previously published as http://uk.encarta.msn.com/readings_761556540/Hitler_Adolf.html

MSN Home My MSN Hotmail Search ... Upgrade your Encarta Experience Search Encarta Go to article Further Reading from Encarta Further Reading offers additional information about your topics. Hitler, Adolf Also on Encarta Test your knowledge Hitler, Adolf Bullock, Alan. Hitler and Stalin: Parallel Lives. London: HarperCollins, 1991. Masterly comparative study, with long bibliography. Fest, Joachim C. Hitler. Haffner, Sebastian. The Meaning of Hitler. Hitler, Adolf. Mein Kampf. London: Hutchinson, Pimlico, The 1943 translation of Hitler's notorious autobiography, with an introduction by D. Cameron Watt. Hoyt, Edwin P. Hitler's War. London: Hale, 1989. Popular military history. Manvell, Roger, and Fraenkel, Heinrich. Adolf Hitler: the Man and the Myth. London: Grafton, De-bunking of Hitler's true character, previously published as Inside Adolf Hitler Stern, J. P. Hitler: the F¼hrer and the People. London: Fontana, Rev. ed., 1990. Study for the general reader of the German leader's influence on the German people. Stone, Norman. Hitler.

36. Emil Von Behring - Biography Emil von Behring Emil adolf Behring was born on March 15, 1854 at Hansdorf, In 1890, L. Brieger and C. fraenkel prepared, from cultures of diphtheria http://nobelprize.org/medicine/laureates/1901/behring-bio.html

HOME SITE HELP ABOUT SEARCH ... EDUCATIONAL Emil Adolf Behring Behring's most important researches were intimately bound up with the epoch-making work of Pasteur, Koch Ehrlich toxin , that produced, when injected into animals, all the symptoms of diphtheria. In 1890, L. Brieger and C. Fraenkel prepared, from cultures of diphtheria bacilli, a toxic substance, which they called toxalbumin , which when injected in suitable doses into guinea-pigs, immunized these animals to diphtheria. Starting from his observations on the action of iodoform, Behring tried to find whether a disinfection of the living organism might be obtained if animals were injected with material that had been treated with various disinfectants. Above all the experiments were performed with diphtheria and with tetanus bacilli. They led to the well-known development of a new kind of therapy for these two diseases. In 1890 Behring and S. Kitasato published their discovery that graduated doses of sterilised brothcultures of diphtheria or of tetanus bacilli caused the animals to produce, in their blood, substances which could neutralize the toxins which these bacilli produced (antitoxins) . They also showed that the antitoxins thus produced by one animal could immunize another animal and that it could cure an animal actually showing symptoms of diphtheria. This great discovery was soon confirmed and successfully used by other workers. Earlier in 1898, Behring and F. Wernicke had found that immunity to diphtheria could be produced by the injection into animals of diphtheria toxin neutralized by diphtheria antitoxin, and in 1907 Theobald Smith had suggested that such toxin-antitoxin mixtures might be used to immunize man against this disease. It was Behring, however, who announced, in 1913, his production of a mixture of this kind, and subsequent work which modified and refined the mixture originally produced by Behring resulted in the modern methods of immunization which have largely banished diphtheria from the scourges of mankind. Behring himself saw in his production of this toxin-antitoxin mixture the possibility of the final eradication of diphtheria; and he regarded this part of his efforts as the crowning success of his life's work.

37. Biografia De Fraenkel, Adolf Abraham Translate this page fraenkel, adolf Abraham. (Munich, 1891-Jerusalén, 1965) Matemático israelí deorigen alemán. Revisó la axiomatización de la teoría de conjuntos que realizó http://www.biografiasyvidas.com/biografia/f/fraenkel.htm

Inicio Buscador Las figuras clave de la historia Reportajes Los protagonistas de la actualidad Fraenkel, Adolf Abraham (Munich, 1891-Jerusalén, 1965) Matemático israelí de origen alemán. Revisó la axiomatización de la teoría de conjuntos que realizó Zermelo a principios de siglo, y lo publicó en su obra Fundamentos de la teoría de conjuntos Inicio Buscador Recomendar sitio

38. Helmut Zenz: Ernst Fraenkel Im Internet Translate this page fraenkel rettete den Schwerverletzten adolf Reichwein, seither waren sie guteFreunde. Studium der Rechts- und Geschichtswissenschaften in Frankfurt und http://www.helmut-zenz.de/hzfraenk.htm

Helmut Zenz Ernst Fraenkel im Internet Ernst Fraenkel (1898-1975), Rechtsanwalt und Politologe Quelle: http://www.polwiss.fu-berlin.de/theorie/images/Fraenkel5.jpg Biographie 1916 Notabitur Teilnahme am Ersten Weltkrieg. Fraenkel rettete den Schwerverletzten Adolf Reichwein, seither waren sie gute Freunde. Studium der Rechts- und Geschichtswissenschaften in Frankfurt und Heidelberg 1923 Promotion bei Sinzheimer (ebenso wie Carlo Schmid) 1925 Assessorexamen Dozen an der Wirtschaftsschule des Deutschen Metallarbeiterverbandes 1926?/1927 Niederlassung in Berlin als Rechtsanwalt Syndikus des Deutschen Metallarbeiterverbandes seit 1931 Rechtsberatung des SPD-Parteivorstandes. 1933-1938 Widerstand in Deutschland, unter anderem als Mitglied des Internationalen Sozialistischen Kampfbundes Im Mittelpunkt der letzten Jahren seines Lebens stand die Auseinandersetzung mit der 1968er-Studentenbewegung, der Fraenkel einen demokratiefeindlichen Dogmatismus vorwarf. Bestattung auf dem Landeseigenen Friedhof Dahlem bestattet (Ehrengrab). Bibliographie Zur Soziologie der Klassenjustiz. Berlin, 1927

39. History Of Astronomy: What's New At This Site On March 8, 1999 fraenkel, adolf Abraham Halevi (18911965). Short biography and references.Francoeur, Louis Benjamin (1773-1849). Short biography and references http://www.astro.uni-bonn.de/~pbrosche/new/new990308.html

History of Astronomy What's new History of Astronomy: What's new at this site on March 8, 1999 Several URLs have been updated. Welcome / About Search this site Slightly updated Site map (complete Table of Contents) updated Acknowledgements updated History of astronomy Persons A Abraham bar Hiyya Ha-Nasi (1070-1136) Short biography and references Adams, John Frank (1930-1989) Short biography and references Ardenne, Manfred von (1907-1997) Physicist, amateur astronomer Very short biography Short biography (in German) Biographical data (in German) Sternwarte "Manfred von Ardenne" , Dresden, Germany (in German) Manfred-von-Ardenne Gymnasium , Riesa-Weida, Germany (in German) Find more about Ardenne with Alta Vista Artin, Emil (1898-1962) Short biography and references Aryabhata the Elder (476-550(499?)) Short biography and references Short biography B Barocius [Barozzi], Franciscus [Francesco] (1537-1604) Short biography and references Benedetti, Giovanni Battista (1530-1590) Short biography and references Billy, Jacques de (1602-1679)

40. History Of Astronomy: Persons (F) fraenkel, adolf Abraham Halevi (18911965). Short biography and references (MacTutorHist. Math.) Franck, James (1882-1964) http://www.astro.uni-bonn.de/~pbrosche/persons/pers_f.html

History of Astronomy Persons History of Astronomy: Persons (F) Deutsche Fassung Biographical data and references Short biography and references (MacTutor Hist. Math.) Short biography and references From the Catholic Encyclopedia, 1913 Fabricius, David (1564-1617) Short biography Very short biography Fabricius, Johannes (1587-1616) Short biography Fabry, Marie Paul Auguste Charles (1867-1945) Very short biography Fairbank, William Martin (1917-1989) Very short biography Fairfax Somerville, Mary: see Somerville, Mary Fairfax Greig (1780-1872) Falck, Anders (1740-1796) Very short biographical data and links With a short biography in Swedish. Faraday, Michael (1791-1867) Short biography and references (Eric Weisstein's Treasure Trove) Fatou, Pierre Joseph Louis (1878-1929) Short biography and references (MacTutor Hist. Math.) Faulkner, Don (20th c.) Very short biography Short biography From the Catholic Encyclopedia, 1913 Very short biography Fermat, Pierre de (1601-1665) Biography Short biography and references (MacTutor Hist. Math.)

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