WorldCat Identities

Gödel, Kurt

Overview
Works: 314 works in 982 publications in 11 languages and 29,871 library holdings
Genres: Biography  History  Conference papers and proceedings  Records and correspondence 
Roles: Author, Honoree, Creator, Dedicatee
Classifications: QA9.8, 510.1
Publication Timeline
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Most widely held works about Kurt Gödel
 
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Most widely held works by Kurt Gödel
The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory by Kurt Gödel( Book )

80 editions published between 1940 and 1999 in English and Undetermined and held by 837 WorldCat member libraries worldwide

Collected works by Kurt Gödel( Book )

12 editions published in 1986 in 3 languages and held by 752 WorldCat member libraries worldwide

On formally undecidable propositions of Principia mathematica and related systems by Kurt Gödel( Book )

41 editions published between 1962 and 2012 in 3 languages and held by 727 WorldCat member libraries worldwide

In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of
Foundations of mathematics. Symposium papers commemorating the sixtieth birthday of Kurt Gödel by Jack J Bulloff( Book )

18 editions published in 1969 in English and German and held by 535 WorldCat member libraries worldwide

Dr. KURT GODEL'S sixtieth birthday (April 28, 1966) and the thirty fifth anniversary of the publication of his theorems on undecidability were celebrated during the 75th Anniversary Meeting of the Ohio Ac ademy of Science at The Ohio State University, Columbus, on April 22, 1966. The celebration took the form of a Festschrift Symposium on a theme supported by the late Director of The Institute for Advanced Study at Princeton, New Jersey, Dr. J. ROBERT OPPENHEIMER: "Logic, and Its Relations to Mathematics, Natural Science, and Philosophy." The symposium also celebrated the founding of Section L (Mathematical Sciences) of the Ohio Academy of Science. Salutations to Dr. GODEL were followed by the reading of papers by S.F. BARKER, H.B. CURRY, H. RUBIN, G.E. SACKS, and G. TAKEUTI, and by the announcement of in-absentia papers contributed in honor of Dr. GODEL by A. LEVY, B. MELTZER, R.M. SOLOVAY, and E. WETTE. A short discussion of "The II Beyond Godel's I" concluded the session
Frege and Gödel; two fundamental texts in mathematical logic by Jean Van Heijenoort( Book )

15 editions published between 1970 and 2001 in English and Germanic and held by 496 WorldCat member libraries worldwide

Biographical note: van HeijenoortJean: Jean van Heijenoort, well known in the fields of mathematical logic and foundations of mathematics, is Professor of Philosophy at Brandeis University and has taught at New York and Columbia Universities
Unpublished philosophical essays by Kurt Gödel( Book )

11 editions published between 1995 and 1997 in 3 languages and held by 235 WorldCat member libraries worldwide

Collected works by Kurt Gödel( Book )

51 editions published between 2003 and 2014 in 3 languages and held by 199 WorldCat member libraries worldwide

Collected works by Kurt Gödel( Book )

37 editions published between 1986 and 2001 in 3 languages and held by 179 WorldCat member libraries worldwide

Kurt Godel (1906-1978) was the most outstanding logician of the 20th century. This second volume of Godel's works collects the remainder of his published work, covering the period 1938-1974. Each article or closely related group of articles is preceded by an introductory note that elucidates it and places it in its historical context
Collected works by Kurt Gödel( Book )

41 editions published between 1986 and 2001 in English and German and held by 177 WorldCat member libraries worldwide

Annotation Kurt Godel (1906-1978) was the most outstanding logician of the twentieth century, noted for Godel's theorem, a hallmark of modern mathematics. The Collected Works will include both published and unpublished writings, in three or more volumes. The first two volumes will consist essentiallyof Godel's published works (both in the original and translation), and the third volume will feature unpublished articles, lectures, and selections from his lecture courses, correspondence, and scientific notebooks. All volumes will contain extensive introductory notes to the work as a whole and toindividual articles and other material, commenting upon their contents and placing them within a historical framework. This long-awaited project is of great significance to logicians, mathematicians, philosophers and historians
Mathematical logic and its applications by Dimitŭr Genchev Skordev( Book )

11 editions published between 1987 and 1988 in English and Undetermined and held by 166 WorldCat member libraries worldwide

The Summer School and Conference on Mathematical Logic and its Applications, September 24 - October 4, 1986, Druzhba, Bulgaria, was honourably dedicated to the 80-th anniversary of Kurt Godel (1906 - 1978), one of the greatest scientists of this (and not only of this) century. The main topics of the Meeting were: Logic and the Foundation of Mathematics; Logic and Computer Science; Logic, Philosophy, and the Study of Language; Kurt Godel's life and deed. The scientific program comprised 5 kinds of activities, namely: a) a Godel Session with 3 invited lecturers b) a Summer School with 17 invited lecturers c) a Conference with 13 contributed talks d) Seminar talks (one invited and 12 with no preliminary selection) e) three discussions The present volume reflects an essential part of this program, namely 14 of the invited lectures and all of the contributed talks. Not presented in the volltme remai ned si x of the i nvi ted lecturers who di d not submi t texts: Yu. Ershov - The Language of!:-expressions and its Semantics; S. Goncharov - Mathematical Foundations of Semantic Programming; Y. Moschovakis - Foundations of the Theory of Algorithms; N. Nagornyj - Is Realizability of Propositional Formulae a GBdelean Property; N. Shanin - Some Approaches to Finitization of Mathematical Analysis; V. Uspensky - Algorithms and Randomness - joint with A.N
Kurt Gödel : essays for his centennial by Solomon Feferman( Book )

7 editions published in 2010 in English and held by 148 WorldCat member libraries worldwide

"Kurt G̈odel (1906-1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating G̈odel's centennial as well as papers from a 2004 symposium. Proof theory, set theory, philosophy of mathematics, and the editing of G̈odel's writings are among the topics covered. Several chapters discuss his intellectual development and his relation to predecessors and contemporaries such as Hilbert, Carnap, and Herbrand. Others consider his views on justification in set theory in light of more recent work and contemporary echoes of his incompleteness theorems and the concept of constructible set"--Provided by publisher
Collected works by Kurt Gödel( Book )

19 editions published between 1995 and 2001 in English and German and held by 116 WorldCat member libraries worldwide

The P=NP question and Gödel's lost letter by Richard J Lipton( Book )

4 editions published in 2010 in English and held by 109 WorldCat member libraries worldwide

The P=NP question is one of the greatest problems of science, which has intrigued computer scientists and mathematicians for decades. Despite the abundant research in theoretical computer science regarding the P=NP question, it has not been solved. This book covers historical developments (including the Gödel's lost letter), the importance of P=NP and the future of P=NP. This guide is also based on a new blog by the author, located at: http://rjlipton.wordpress.com -- Back cover
Obras completas by Kurt Gödel( Book )

11 editions published between 1981 and 2006 in Spanish and held by 82 WorldCat member libraries worldwide

Le théorème de Gödel by Ernest Nagel( Book )

7 editions published between 1989 and 1997 in French and held by 74 WorldCat member libraries worldwide

En 1931, Kurt Godel démontrait, dans un article révolutionnaire, l'incomplétude de tout système axiomatique contenant la théorie des nombres. Apparemment très technique, ce théorème bouleversait de fond en comble la philosophie des mathématiques
Principia mathematica by Alfred North Whitehead( Book )

11 editions published between 1984 and 2008 in German and Undetermined and held by 53 WorldCat member libraries worldwide

An unabridged, digitally enlarged printing of Principia mathematica
Kurt Gödel : Wahrheit & Beweisbarkeit( Book )

5 editions published in 2002 in German and held by 47 WorldCat member libraries worldwide

Die Gödel'schen Unvollständigkeitssätze : Eine geführte Reise durch Kurt Gödels historischen Beweis by DIRK W. HOFFMANN( Book )

1 edition published in 2013 in German and held by 39 WorldCat member libraries worldwide

Im Jahr 1931 erschien im Monatsheft für Mathematik und Physik ein Artikel mit dem geheimnisvoll klingenden Titel Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I. In dieser Arbeit hat Kurt Gödel zwei Unvollständigkeitssätze bewiesen, die unseren Blick auf die Mathematik von Grund auf verändert haben. Gödels Sätze manifestieren, dass zwischen dem Begriff der Wahrheit und dem Begriff der Beweisbarkeit eine unüberwindbare Kluft besteht, die wir nicht überwinden können. Die Mathematik fügt sich in kein formales Korsett. Seit ihrer Entdeckung sind die Unvollständigkeitssätze in aller Munde und eine Flut an Büchern widmet sich ihrem fulminanten Inhalt. Doch kaum ein Werk behandelt die Gödel'sche Arbeit in ihrer ursprünglichen Form - und dies hat triftige Gründe: Seine komplexen, in akribischer Präzision beschriebenen Argumentationsketten, die vielen Definitionen und Sätze und die heute weitgehend überholte Notation machen Gödels historisches Meisterwerk zu einer schwer zu lesenden Arbeit. In diesem Buch wird Gödels Beweis aus dem Jahr 1931 detailliert aufgearbeitet. Alle Einzelschritte werden erläutert und anhand zahlreicher Beispiele verständlich erklärt. Doch dieses Buch ist mehr als eine kommentierte Fassung der historischen Arbeit. Die Beweise der Unvollständigkeitssätze in vollem Umfang zu verstehen, bedingt, die Geschichte zu verstehen, und so versetzen zahlreiche Exkurse den Leser in die Zeit zu Beginn des zwanzigsten Jahrhunderts zurück. Es ist die Zeit, in der die Mathematik die größte Krise ihrer Geschichte durchlebte, die Typentheorie und die axiomatische Mengenlehre Gestalt annahmen und sich Hilberts formalistische Logik und Brouwers intuitionistische Mathematik mit offenem Visier gegenüber standen
Collected works by Kurt Gödel( Book )

3 editions published between 1990 and 2001 in English and held by 36 WorldCat member libraries worldwide

Gödel, Escher, Bach : an eternal golden braid by Douglas R Hofstadter( Book )

6 editions published between 1979 and 1983 in English and Undetermined and held by 17 WorldCat member libraries worldwide

Winner of the Pulitzer Prize, this book applies Godel's seminal contribution to modern mathematics to the study of the human mind and the development of artificial intelligence
 
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Collected worksCollected works
Alternative Names
Curtius Gödel

Gēderu 1906-1978

Gkentel, Kourt

Gkentel, Kourt 1906-1978

Gödel, K

Godel, Kurt

Gödel, Kurt 1906-1978

Gödel, Kurt Friedrich 1906-1978

Goedel

Goedel, Kurt

Goedel Kurt 1906-1978

kurt.gedyl

Kurt Gödel

Kurt Gödel Amerikaans wiskundige

Kurt Gödel austriacki logik i matematyk

Kurt Gödel logician, mathematician, and philosopher of mathematics

Kurt Gödel matematico, logico e filosofo austriaco

Kurt Gödel mathématicien austro-américain

Kurt Gödel österreichisch-amerikanischer Mathematiker und Logiker

Kurt Gödel Rakouský filozof, logik a matematik

Kurt Qodel

Kurts Gēdels

Κουρτ Γκέντελ Αυστρο-αμερικάνος επιστήμονας της λογικής, μαθηματικός και φιλόσοφος

Гедель

Курт Гедел

Курт Гёдель

Курт Гёдэль

Курт Гьодел

Կուրտ Գյոդել

גדל

קורט גדל

كورت غودل

کرٹ گوڈل

کورت قودل

کورت گودل

कर्ट गोडेल

कुर्ट ग्योडेल

কুর্ট গ্যোডেল

ਕੁਰਟ ਗੋਡਲ

கியேடல்

ಕರ್ಟ್ ಗುಡ್ಲ್

കുർട്ട് ഗോഡൽ

คูร์ท เกอเดิล

ကာ့ ဂူဒယ်

쿠르트 괴델 수학자

クルト・ゲーデル

ゲーデル 1906-1978

ゲーデル, クルト

哥德

哥德爾

库尔特·哥德尔

Languages
Covers
Collected worksOn formally undecidable propositions of Principia mathematica and related systemsFrege and Gödel; two fundamental texts in mathematical logicUnpublished philosophical essaysCollected worksCollected worksCollected worksKurt Gödel : essays for his centennial