Fraenkel, Abraham Adolf 18911965
Overview
Works:  174 works in 684 publications in 7 languages and 8,304 library holdings 

Genres:  Conference papers and proceedings Records and correspondence Biography Bibliography 
Roles:  Author, Honoree, Creator, Editor, Other, Author of introduction, Speaker, Contributor 
Classifications:  QA248, 511.3 
Publication Timeline
.
Most widely held works about
Abraham Adolf Fraenkel
 Recollections of a Jewish mathematician in Germany by Abraham Adolf Fraenkel( )
 Essays on the foundations of mathematics : dedicated to A.A. Fraenkel on his seventieth anniversary by Universiṭah haʻIvrit biYerushalayim( Book )
 Finalstrukturen in ZFC im Hinblick auf partielle Algebren by Ansgar Bergmann( Book )
 David Lewis und seine mereologische Interpretation der ZermeloFraenkelschen Mengenlehre Eine Rekonstruktion by Philipp Werner( )
 David Lewis und seine mereologische Interpretation der ZermeloFraenkelschen Mengenlehre by Philipp Werner( Book )
 Essays on the foundations of mathematics by Universiṭah haʻIvrit biYerushalayim( Book )
 ʻAl Profesor Avraham Halevi Frenkel zal; devarim sheamru lizikhro B. Mazar, A.Y.Y. Poznanski veM. Rabin, beyom 7 beKislev 726 (1.12.65) by Benjamin Mazar( Book )
 ʻAl Profesor Avraham Halevi Frenḳel zal by Benjamin Mazar( Book )
 ʻAl Avraham Halevi Frenḳel zal : devarim sheamru lezikhro B. mazar, A.Y.Y. Poznansḳi, M. Rabin beyom ... (1.2.65) by Benjamin Mazar( Book )
 ʻAl Profesor Avraham Halevi Frenkel by Benjamin Mazar( Book )
 ʻAl Avraham Halevi Frenḳel : devarim sheamru lezikhro B. mazar, A.Y.Y. Poznansḳi, M. Rabin beyom ... (1.2.65) by Benjamin Mazar( Book )
 Essays on the foundations of mathematics. Dedicated to A.A. Fraenkel on his seventieth anniversary. Edited by Y. BarHillel [and others] for the Hebrew University of Jerusalm. Salem by Universiṭah haʻIvrit biYerushalayim( Book )
 Fraenkel – Neugarten Family Collection by Abraham Adolf Fraenkel( )
 ʻAl Avraham haLeṿi Frenḳel by Universiṭah haʻIvrit biYerushalayim( Book )
 Essays on the foundations of mathematics dedicated to A.A. Fraenkel on his seventieth anniversary, ed. by Universiṭah haʻIvrit biYerushalayim( Book )
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Most widely held works by
Abraham Adolf Fraenkel
Abstract set theory by
Abraham Adolf Fraenkel(
Book
)
89 editions published between 1953 and 1976 in 3 languages and held by 1,512 WorldCat member libraries worldwide
89 editions published between 1953 and 1976 in 3 languages and held by 1,512 WorldCat member libraries worldwide
Foundations of set theory by
Abraham Adolf Fraenkel(
Book
)
39 editions published between 1958 and 1984 in English and Dutch and held by 1,296 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 nontechnical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction
39 editions published between 1958 and 1984 in English and Dutch and held by 1,296 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 nontechnical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction
Axiomatic set theory by
Paul Bernays(
Book
)
31 editions published between 1196 and 1991 in English and Undetermined and held by 757 WorldCat member libraries worldwide
Provability, Computability and Reflection
31 editions published between 1196 and 1991 in English and Undetermined and held by 757 WorldCat member libraries worldwide
Provability, Computability and Reflection
Set theory and logic by
Abraham Adolf Fraenkel(
Book
)
29 editions published between 1959 and 1968 in 3 languages and held by 695 WorldCat member libraries worldwide
29 editions published between 1959 and 1968 in 3 languages and held by 695 WorldCat member libraries worldwide
Integers and theory of numbers by
Abraham Adolf Fraenkel(
Book
)
4 editions published in 1955 in English and held by 487 WorldCat member libraries worldwide
4 editions published in 1955 in English and held by 487 WorldCat member libraries worldwide
ZermeloFraenkel set theory by
Seymour Hayden(
Book
)
2 editions published in 1968 in English and held by 461 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 461 WorldCat member libraries worldwide
Essays on the foundations of mathematics : dedicated to A.A. Fraenkel on his seventieth anniversary by
Universiṭah haʻIvrit biYerushalayim(
Book
)
27 editions published between 1961 and 1966 in 4 languages and held by 360 WorldCat member libraries worldwide
27 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 CantorDedekind by
Georg Cantor(
Book
)
24 editions published between 1932 and 1980 in German and English and held by 334 WorldCat member libraries worldwide
24 editions published between 1932 and 1980 in German and English and held by 334 WorldCat member libraries worldwide
Einleitung in die mengenlehre by
Abraham Adolf Fraenkel(
Book
)
23 editions published between 1928 and 1998 in 3 languages and held by 325 WorldCat member libraries worldwide
23 editions published between 1928 and 1998 in 3 languages and held by 325 WorldCat member libraries worldwide
Extension of the numberconcept; groups and fields, rational, real, complex, hypercomplex numbers by
Abraham Adolf Fraenkel(
Book
)
9 editions published in 1964 in English and held by 276 WorldCat member libraries worldwide
9 editions published in 1964 in English and held by 276 WorldCat member libraries worldwide
Zehn vorlesungen über die grundlegung der mengenlehre, gehalten in Kiel auf einladung der Kantgesellschaft, ortsgruppe Kiel,
vom 8.12. juni 1925 by
Abraham Adolf Fraenkel(
Book
)
28 editions published between 1927 and 2017 in 3 languages and held by 187 WorldCat member libraries worldwide
28 editions published between 1927 and 2017 in 3 languages and held by 187 WorldCat member libraries worldwide
Einleitung in die mengenlehre; eine elementare einführung in das reich des unendlichgrossen by
Abraham Adolf Fraenkel(
Book
)
13 editions published between 1923 and 1928 in German and English and held by 136 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 SpringerVerlag Berlin Heidelberg GmbH 1923 ISBN 9783662237977 ISBN 9783662259009 (eBook) DOI 10.1007/9783662259009 ALLE RECHTE, INSBESONDERE DAS DER ÜBERSETZUNG IN FREMDE SPRACHEN, VORBEHALTEN COPYRIGHT 1923 BY SpringerVerlag 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
13 editions published between 1923 and 1928 in German and English and held by 136 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 SpringerVerlag Berlin Heidelberg GmbH 1923 ISBN 9783662237977 ISBN 9783662259009 (eBook) DOI 10.1007/9783662259009 ALLE RECHTE, INSBESONDERE DAS DER ÜBERSETZUNG IN FREMDE SPRACHEN, VORBEHALTEN COPYRIGHT 1923 BY SpringerVerlag 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
Lebenskreise. Aus den Erinnerungen eines jüdischen Mathematikers by
Abraham Adolf Fraenkel(
Book
)
8 editions published in 1967 in German and held by 130 WorldCat member libraries worldwide
8 editions published in 1967 in German and held by 130 WorldCat member libraries worldwide
Foundations of set theory by
Abraham Adolf Fraenkel(
Book
)
28 editions published between 1958 and 2006 in English and Russian and held by 119 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 nontechnical 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 typetheoretical 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
28 editions published between 1958 and 2006 in English and Russian and held by 119 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 nontechnical 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 typetheoretical 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
Einleitung in die Mengenlehre : eine gemeinverständliche Einführung in das Reich der unendlichen Grössen by
Abraham Adolf Fraenkel(
Book
)
16 editions published between 1919 and 2017 in German and held by 101 WorldCat member libraries worldwide
16 editions published between 1919 and 2017 in German and held by 101 WorldCat member libraries worldwide
Einleitung in die Mengenlehre by
Abraham Adolf Fraenkel(
Book
)
19 editions published between 1919 and 1992 in 3 languages and held by 56 WorldCat member libraries worldwide
19 editions published between 1919 and 1992 in 3 languages and held by 56 WorldCat member libraries worldwide
Recollections of a Jewish mathematician in Germany by
Abraham Adolf Fraenkel(
)
11 editions published between 2016 and 2018 in English and held by 55 WorldCat member libraries worldwide
Abraham A. Fraenkel was a worldrenowned mathematician in pre–Second 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’s 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 CohenMansfield. 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 BarHillel
11 editions published between 2016 and 2018 in English and held by 55 WorldCat member libraries worldwide
Abraham A. Fraenkel was a worldrenowned mathematician in pre–Second 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’s 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 CohenMansfield. 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 BarHillel
Mathematische Analyse der Arbeitsproduktivität by
Abraham Adolf Fraenkel(
Book
)
6 editions published in 1970 in German and held by 45 WorldCat member libraries worldwide
6 editions published in 1970 in German and held by 45 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 40 WorldCat member libraries worldwide
6 editions published in 1916 in German and held by 40 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 held by 31 WorldCat member libraries worldwide
8 editions published in 1914 in German and held by 31 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 BarHillel, Yehoshua Other Editor Creator
 Lévy, Azriel 1934 Other Editor
 Zermelo, Ernst 18711953 Editor Creator
 Bernays, Paul 18881977 Author
 Kennison, John F. 1938
 Hayden, Seymour Author
 Universiṭah haʻIvrit biYerushalayim
 Cantor, Georg 18451918 Author
 Dedekind, Richard 18311916
 CohenMansfield, Jiska Editor
Useful Links
Associated Subjects
Algebra, Universal Axiomatic set theory Emigration and immigrationSocial aspects Fraenkel, Abraham Adolf, Germany History Jewish hospitals Jewish mathematicians Jewish physicians JewsIntellectual life Lewis, David K.(David Kellogg), Logic, Symbolic and mathematical Mathematicians Mathematics Mathematics, Jewish MathematicsPhilosophy Metamathematics Number concept Number theory Partial algebras Philosophy Rings (Algebra) Set theory Whole and parts (Philosophy) Zermelo, Ernst,
Covers
Alternative Names
Abraham Adolf Fraenkel
Abraham Adolf Fraenkel mathématicien allemand
Abraham Fraenkel Israeli mathematician
Abraham Fraenkel matematician israelian
Abraham Fraenkel matematyk niemieckoizraelski
Abraham Halevi (Adolf) Fraenkel
Adolf Abraham Halevi Fraenkel
Adolf Abraham Halevi Fraenkel deutschisraelischer Mathematiker
Adolf Abraham Halevi Fraenkel matematico tedesco
Adolf Abraham Halevi Fraenkel tysk professor
Adolf Fraenkel
Adolf Fraenkel Duits wiskundige
Adolf Fraenkel lógico y matemático alemán israelí
Adolphus Abraham Halevi Fraenkel
Fraenkel, A.
Fraenkel, A. 18911965
Fraenkel, A. A. 18911965
Fraenkel, A. A. (Abraham Adolf), 18911965
Fraenkel A. H.
Fraenkel, A. H. 18911965
Fraenkel, Abraham A. 18911965
Fraenkel, Abraham A. (Abraham Adolf), 18911965
Fraenkel, Abraham Adolf.
Fraenkel Abraham Halevi
Fraenkel Abraham Halevi 18911965
Fraenkel Adolf
Fraenkel Adolf 18911965
Fraenkel Adolf A.
Fraenkel, Adolf A. 18911965
Fraenkel Adolf Abraham
Fraenkel, Adolf Abraham 18911965
Fraenkel, Adolf Abraham Halevi
Fraenkel Adolf Abraham Halevi 18911965
Fraenkel, Avraham Adolf Halevi
Fraenkel Avraham Adolf Halevi 18911965
Frenkel', A.
Frenkel', A. A. 18911965
Frenkel', Abracham A. 18911965
Frenkel', Abraham.
Frenḳel, Avraham 18911965 haLeṿi
Frenkel Avraham haLevi
Frenḳel, Avraham, haLeṿi, 18911965
Frenqel Avraham A.
Frenqel, Avrāhām A. 18911965
Halevi Fraenkel, Adolf Abraham
Halevi Fraenkel Adolf Abraham 18911965
Pranqel, ʾAbraham ben ʾAbiyʿezriy
Pranqel ʾAbraham ben ʾAbiyʿezriy 18911965
Pranqel, ʾAbraham Halewiy
Pranqel ʾAbraham Halewiy 18911965
Prenqel, ʾAbraham ben ʾAbiyʿezriy
Prenqel ʾAbraham ben ʾAbiyʿezriy 18911965
Prenqel, ʾAbraham Halewiy
Prenqel ʾAbraham Halewiy 18911965
Абрахам Френкель
Френкель А.А.
Френкель, А. А 18911965
Френкель, Абрахам
אברהם הלוי פרנקל
אברהם הלוי פרנקל מתמטיקאי ישראלי
פרנקל, אברהם
פרנקל, אברהם 18911965
פרנקל, אברהם 1891־1965 הלוי
פרנקל, אברהם בן אביעזרי
פרנקל אברהם בן אביעזרי 18911965
פרנקל, אברהם בן אביעזרי הלוי
פרנקל, אברהם הלוי
פרנקל אברהם הלוי 18911965
ابراهام فرانكل رياضياتي إسرائيلي
آبراهام فرنکل
아브라함 프렝켈
アドルフ・フレンケル
亞伯拉罕·弗蘭克爾
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