WorldCat Identities

Fraenkel, Abraham Adolf 1891-1965

Overview
Works: 97 works in 638 publications in 8 languages and 8,077 library holdings
Genres: Records and correspondence  Biography  History  Bibliography 
Roles: Author, Honoree, Creator, Editor, Other, Speaker, Author of introduction, Contributor
Classifications: QA248, 511.3
Publication Timeline
.
Most widely held works about Abraham Adolf Fraenkel
 
moreShow More Titles
fewerShow Fewer Titles
Most widely held works by Abraham Adolf Fraenkel
Abstract set theory by Abraham Adolf Fraenkel( Book )

92 editions published between 1953 and 1976 in 3 languages and held by 1,393 WorldCat member libraries worldwide

Foundations of set theory by Abraham Adolf Fraenkel( Book )

67 editions published between 1958 and 2006 in 3 languages and held by 1,117 WorldCat member libraries worldwide

Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians
Axiomatic set theory by Paul Bernays( Book )

33 editions published between 1196 and 1991 in English and Undetermined and held by 751 WorldCat member libraries worldwide

Einleitung in die mengenlehre by Abraham Adolf Fraenkel( Book )

90 editions published between 1919 and 2017 in 5 languages and held by 598 WorldCat member libraries worldwide

IN DIE MENGENLEHRE EINE ELEMENTARE EINFÜHRUNG IN DAS REICH DES UNENDLICHGROSSEN VON ADOLF FRAENKEL A.O. PROFESSOR AN DER UNIVERSITÄT MARBURG ZWEITE ERWEITERTE AUFLAGE MIT 13 TEXTFIGUREN Springer-Verlag Berlin Heidelberg GmbH 1923 ISBN 978-3-662-23797-7 ISBN 978-3-662-25900-9 (eBook) DOI 10.1007/978-3-662-25900-9 ALLE RECHTE, INSBESONDERE DAS DER ÜBERSETZUNG IN FREMDE SPRACHEN, VORBEHALTEN COPYRIGHT 1923 BY Springer-Verlag Berlin Heidelberg Ursprünglich erschienen bei Julius Springer in Berlin 1923. Vorwort zur ersten Auflage. Das vorliegende Büchlein ist im Feld entstanden und aus dem Feld in Druck gegeben worden; die Anregung zu ihm verdanke ich Unterhaltungen, in denen ich Kriegskameraden (Nichtmathematikern) gelegentlich öde Stunden durch Einführung in Gedankengänge der Mengenlehre verkürzen konnte. Wenn auch diese Entstehung in der Anlage der Schrift - nament lich im Zurücktreten der Literaturangaben - noch e~kennbar sein mag, so wird dadurch doch der beabsichtigte Zweck nicht beein trächtigt: eine kurze Einführung in eine der gewaltigsten Errungen schaften des menschlichen Geistes, in die Grundzüge der abstrakten Mengenlehre, zu bieten, verständlich für jedermann, der Interesse nimmt an der mathematischen Begründung des Unendlichgroßen und daher auch so viel Geduld mitbringt, um sich allmählich in etwas abstrakte Gedankengänge hineinzufinden. Vorkenntnisse mathemati scher oder philosophischer Art sind hierzu in keiner Weise erforderlich
Integers and theory of numbers by Abraham Adolf Fraenkel( Book )

17 editions published between 1955 and 2004 in English and held by 536 WorldCat member libraries worldwide

"A concise work on important topics in number theory, this classic text was devised by a prominent twentieth-century mathematician. Developed from a series of presentations to adult education courses, it explains the essentials of mathematics in a manner accessible to high school and college students as well as to other readers. Book jacket."--Jacket
Set theory and logic by Abraham Adolf Fraenkel( Book )

17 editions published between 1965 and 1968 in 3 languages and held by 477 WorldCat member libraries worldwide

Zermelo-Fraenkel set theory by Seymour Hayden( Book )

2 editions published in 1968 in English and held by 466 WorldCat member libraries worldwide

Essays on the foundations of mathematics : dedicated to A.A. Fraenkel on his seventieth anniversary by Universiṭah ha-ʻIvrit bi-Yerushalayim( Book )

29 editions published between 1961 and 1966 in 4 languages and held by 360 WorldCat member libraries worldwide

Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit erläuternden Anmerkungen sowie mit Ergänzungen aus dem Briefwechsel Cantor-Dedekind by Georg Cantor( Book )

27 editions published between 1932 and 1980 in German and English and held by 332 WorldCat member libraries worldwide

In der Geschichte der Wissenschaften ist es gewiß ein seltener Fall, wenn eine ganze wissenschaftliche Disziplin von grundlegender Bedeutung der schöpferischen Tat eines einzelnen zu verdanken ist. Dieser Fall ist verwirk licht in der Schöpfung Georg Oantors, der Mengenlehre, einerneuen mathe matischen Disziplin, die während eines Zeitraumes von etwa 25 Jahren in einer Reihe von Abhandlungen ein und desselben Forschers in ihren Grund zügen entwickelt, seitdem zum bleibenden Besitze der Wissenschaft geworden ist, so daß alle späteren Forschungen auf diesem Gebiete nur noch als ergän zende Ausführungen seiner grundlegenden Gedanken aufzufassen sind. Aber auch abgesehen von dieser ihrer historischen Bedeutung sind die Oan torschen Originalabhandlungen noch für den heutigen Leser von unmittelbarem Inter esse, in ihrer klassischen Einfachheit und Präzision ebenso zur ersten Ein führung geeignet und darin noch von keinem neueren Lehrbuch übertroffen, wie auch für den Fortgeschrittenen durch die Fülle der zugrunde liegenden Gedanken eine genußreich anregende Lektüre. Der immer noch wachsende Einfluß der Mengenlehre auf alle Zweige der modernen Mathematik und vor allem ihre überragende Bedeutung für die heutige Grundlagenforschung haben bei Mathematikern wie bei Philosophen den Wunsch entstehen lassen, die in verschiedenen Zeitschriften zerstreuten und teilweise schwer zugäng lichen Abhandlungen in ihrem natürlichen Zusammenhange lesen und stu dieren zu können
Extension of the number-concept; groups and fields, rational, real, complex, hypercomplex numbers by Abraham Adolf Fraenkel( Book )

11 editions published in 1964 in English and held by 287 WorldCat member libraries worldwide

Mengenlehre und Logik by Abraham Adolf Fraenkel( Book )

20 editions published between 1959 and 1968 in German and English and held by 213 WorldCat member libraries worldwide

Zehn vorlesungen über die grundlegung der mengenlehre, gehalten in Kiel auf einladung der Kant-gesellschaft, ortsgruppe Kiel, vom 8.-12. juni 1925 by Abraham Adolf Fraenkel( Book )

21 editions published between 1927 and 2017 in German and English and held by 132 WorldCat member libraries worldwide

Lebenskreise. Aus den Erinnerungen eines jüdischen Mathematikers by Abraham Adolf Fraenkel( Book )

8 editions published in 1967 in German and held by 123 WorldCat member libraries worldwide

Zehn Vorlesungen über die Grundlegung der Mengenlehre by Abraham Adolf Fraenkel( Book )

9 editions published between 1927 and 1972 in German and held by 40 WorldCat member libraries worldwide

Zahlbegriff und algebra bei Gauss by Abraham Adolf Fraenkel( Book )

10 editions published in 1920 in German and held by 33 WorldCat member libraries worldwide

Foundations of set theory. Abraham A. Fraenkel, ... and Yehoshua Bar-Hillel, by Abraham Adolf Fraenkel( Book )

2 editions published in 1958 in English and held by 28 WorldCat member libraries worldwide

Über gewisse Teilbereiche und Erweiterungen von Ringen by Abraham Adolf Fraenkel( Book )

6 editions published in 1916 in German and held by 27 WorldCat member libraries worldwide

Über die Teiler der Null und die Zerlegung von Ringen by Abraham Adolf Fraenkel( Book )

8 editions published in 1914 in German and Undetermined and held by 26 WorldCat member libraries worldwide

Aufsätze und Reden : ein Spiegelbild deutsch-jüdischer Geschichte aus dem Beginn des zwanzigsten Jahrhunderts by Sigmund Fraenkel( Book )

5 editions published in 1930 in German and held by 21 WorldCat member libraries worldwide

Recollections of a Jewish mathematician in Germany by Abraham Adolf Fraenkel( Book )

9 editions published in 2016 in English and held by 6 WorldCat member libraries worldwide

Abraham A. Fraenkel was a world-renowned mathematician in pre- econd World War Germany, whose work on set theory was fundamental to the development of modern mathematics. A friend of Albert Einstein, he knew many of the era acclaimed mathematicians personally. He moved to Israel (then Palestine under the British Mandate) in the early 1930s. In his autobiography Fraenkel describes his early years growing up as an Orthodox Jew in Germany and his development as a mathematician at the beginning of the twentieth century. This memoir, originally written in German in the 1960s, has now been translated into English, with an additional chapter covering the period from 1933 until his death in 1965 written by the editor, Jiska Cohen-Mansfield. Fraenkel describes the world of mathematics in Germany in the first half of the twentieth century, its origins and development, the systems influencing it, and its demise. He also paints a unique picture of the complex struggles within the world of Orthodox Jewry in Germany. In his personal life, Fraenkel merged these two worlds during periods of turmoil including the two world wars and the establishment of the state of Israel. Including a new foreword by Menachem Magidor Foreword to the 1967 German edition by Yehoshua Bar-Hillel
 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.59 (from 0.40 for Zermelo-Fr ... to 0.91 for Zahlbegrif ...)

Foundations of set theory
Alternative Names
Abraham Adolf Fraenkel

Abraham Adolf Fraenkel mathématicien allemand

Abraham Fraenkel Israeli mathematician

Abraham Fraenkel matematician israelian

Abraham Fraenkel matematyk niemiecko-izraelski

Adolf Abraham Halevi Fraenkel matematico tedesco

Adolf Fraenkel

Adolf Fraenkel Duits wiskundige

Adolf Fraenkel lógico y matemático alemán- israelí

Adolphus Abraham Halevi Fraenkel

Fraenkel, A.

Fraenkel, A. 1891-1965

Fraenkel, A. A. 1891-1965

Fraenkel, A. A. (Abraham Adolf), 1891-1965

Fraenkel, A. H. 1891-1965

Fraenkel, Abraham A. 1891-1965

Fraenkel, Abraham A. (Abraham Adolf), 1891-1965

Fraenkel, Abraham Adolf.

Fraenkel Abraham Halevi 1891-1965

Fraenkel, Adolf.

Fraenkel Adolf 1891-1965

Fraenkel, Adolf A. 1891-1965

Fraenkel, Adolf Abraham 1891-1965

Fraenkel, Adolf Abraham Halevi

Fraenkel Adolf Abraham Halevi 1891-1965

Fraenkel Avraham Adolf Halevi 1891-1965

Frenkel', A.

Frenkel', A. A. 1891-1965

Frenkel', Abracham A. 1891-1965

Frenkel', Abraham.

Frenḳel, Avraham 1891-1965 ha-Leṿi

Frenḳel, Avraham, ha-Leṿi, 1891-1965

Frenqel, Avrāhām A. 1891-1965

Halevi Fraenkel Adolf Abraham 1891-1965

Pranqel ʾAbraham ben ʾAbiyʿezriy 1891-1965

Pranqel ʾAbraham Halewiy 1891-1965

Prenqel ʾAbraham ben ʾAbiyʿezriy 1891-1965

Prenqel ʾAbraham Halewiy 1891-1965

Абрахам Френкель

Френкель, А. А 1891-1965

Френкель, Абрахам

אברהם הלוי פרנקל

אברהם הלוי פרנקל מתמטיקאי ישראלי

פרנקל, אברהם

פרנקל, אברהם 1891-1965

פרנקל, אברהם 1891־1965 הלוי

פרנקל, אברהם בן אביעזרי

פרנקל אברהם בן אביעזרי 1891-1965

פרנקל, אברהם בן אביעזרי הלוי

פרנקל אברהם הלוי 1891-1965

آبراهام فرنکل

아브라함 프렝켈

アドルフ・フレンケル

亞伯拉罕·弗蘭克爾

Languages
Covers
Axiomatic set theoryIntegers and theory of numbers