WorldCat Identities

Gödel, Kurt

Works: 264 works in 922 publications in 12 languages and 29,142 library holdings
Genres: Biography  History  Conference papers and proceedings  Records and correspondence 
Roles: Author, Honoree, Creator, Dedicatee
Classifications: QA9.8, 510.1
Publication Timeline
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 )

85 editions published between 1938 and 1999 in English and Undetermined and held by 841 WorldCat member libraries worldwide

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

43 editions published between 1962 and 2012 in 4 languages and held by 726 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 534 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 501 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 232 WorldCat member libraries worldwide

Mathematical logic and its applications by Dimitŭr Genchev Skordev( Book )

11 editions published between 1987 and 1988 in English and Undetermined and held by 168 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 )

10 editions published between 2002 and 2010 in English and Spanish and held by 146 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
The P=NP question and Gödel's lost letter by Richard J Lipton( Book )

4 editions published in 2010 in English and held by 107 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: -- Back cover
Obras completas by Kurt Gödel( Book )

11 editions published between 1981 and 2006 in Spanish and held by 79 WorldCat member libraries worldwide

Le théorème de Gödel( Book )

5 editions published between 1989 and 1997 in French and held by 73 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 : to *56 by Alfred North Whitehead( Book )

11 editions published between 1984 and 2008 in German and Undetermined and held by 52 WorldCat member libraries worldwide

Abridged text of volume 1. First published in 1913
Kurt Gödel : Wahrheit & Beweisbarkeit( Book )

5 editions published in 2002 in German and held by 48 WorldCat member libraries worldwide

Collected works by Kurt Gödel( Book )

2 editions published between 1990 and 2001 in English and held by 35 WorldCat member libraries worldwide

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

13 editions published between 1979 and 2005 in 4 languages and held by 31 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
Sobre proposiciones formalmente indecidibles de los Principia Mathematica y sistemas afines I by Kurt Gödel( Book )

13 editions published between 1980 and 2006 in Spanish and Undetermined and held by 29 WorldCat member libraries worldwide

El llamado "teorema de incompletud" de la matemática, descubierto por Kurt Gödel en 1931, constituye una de las más importantes conquistas científicas del pasado siglo XX. Su hallazgo ha significado una revolución de los fundamentos de la lógica y de la matemática tan importante como la introducida en física por la teoría de la relatividad de Einstein o la efectuada en biología por el descubrimiento del modelo de la doble hélice por Watson y Crick.\r\nEste teorema cuya demostración es un prodigio de rigor matemático y de imaginación filosófica, establece que nuestros métodos de deducción racional son radicalmente incapaces de dar cuenta de todas las verdades de la ciencia matemática, la cual excede, por principio, la potencia deductiva del más perfecto de los ordenadores digitales. Una de las más profundas consecuencias filosóficas del hallazgo de Gödel es la superioridad de la mente humana sobre cualquier máquina.\r\nEl presente volumen contiene la versión castellana del célebre artículo en que este autor formuló el teorema, precedida de una introducción que analiza tanto su demostración como sus implicaciones filosóficas
On undecidable propositions of formal mathematical systems by Kurt Gödel( Book )

4 editions published in 1934 in English and held by 27 WorldCat member libraries worldwide

Incompleteness : the proof and paradox of Kurt Gödel by Rebecca Goldstein( Book )

1 edition published in 2005 in English and held by 8 WorldCat member libraries worldwide

"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher
A world without time : the forgotten legacy of Gödel and Einstein by Palle Yourgrau( Book )

1 edition published in 2005 in English and held by 8 WorldCat member libraries worldwide

It is a widely known but little considered fact that Albert Einstein and Kurt Godel were best friends for the last decade and a half of Einstein's life. The two walked home together from Princeton's Institute for Advanced Study every day; they shared ideas about physics, philosophy, politics, and the lost world of German science in which they had grown up. By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result-reluctantly, since it decisively overthrew the classical world-view to which he was committed. But he could find no way to refute it, and in the half-century since then, neither has anyone else. Even more remarkable than this stunning discovery, however, was what happened afterward: nothing. Cosmologists and philosophers alike have proceeded with their work as if Godel's proof never existed-one of the greatest scandals of modern intellectual history. A World without Time is a sweeping, ambitious book, and yet poignant and intimate. It tells the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue from undeserved obscurity the brilliant work they did together
Gödel : a life of logic by J. L Casti( Book )

1 edition published in 2000 in English and held by 7 WorldCat member libraries worldwide

Godel's Incompleteness Theorem suggested that logic would not allow a complete understanding of the universe, and this contemporary of Einstein established new theories that changed science and philosophy
Logical dilemmas : the life and work of Kurt Gödel by John W Dawson( Book )

2 editions published between 1998 and 2006 in English and held by 6 WorldCat member libraries worldwide

"This definitive biography of the logician and philosopher Kurt Godel is the first in-depth account to integrate details of his personal life with his work and is based on the author's intensive study of Godel's papers and surviving correspondence. Godel (1906-1978) is considered to be the preeminent logic researcher of the twentieth century. His noted works on the completeness of first-order logic, the incompleteness of formal number theory, and the relative consistency of the Axiom of Choice and the Continuum Hypothesis established bounds on the efficacy of formal methods in investigating foundational questions. He is also noted for his unique and distinctive writings on the philosophy behind mathematics, and his lesser-known results in cosmology raised problematic issues in the philosophy of time. Dawson, a logician and historian of science, examines the life of this driven man whose work on the foundation of mathematics has fundamentally changed our thoughts on these subjects and has stimulated much of the research conducted in this century. He further explores the relationship between Godel's personality and his scientific achievements and describes the impact Godel's results have had on our modern world view."--Jacket
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Audience level: 0.39 (from 0.03 for Memoirs of ... to 0.92 for Sobre prop ...)

The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory
Alternative Names
Curtius Gödel

Gkentel, Kourt

Gkentel, Kourt, 1906-1978

Gödel, K

Godel, Kurt

Gödel, Kurt 1906-1978

Gödel, Kurt Friedrich 1906-1978


Goedel, Kurt

Goedel Kurt 1906-1978


Kurt Gödel Amerikaans wiskundige

Kurt Gödel austriacki logik i matematyk

Kurt Gödel logician, mathematician and philosopher, author of two eponym incompleteness theorems

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

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


Курт Гедел

Курт Гёдель

Курт Гёдэль

Курт Гьодел

Կուրտ Գյոդել


קורט גדל

كورت غودل

کرٹ گوڈل

کورت گودل

कर्ट गोडेल

कुर्ट ग्योडेल

কুর্ট গ্যোডেল

ਕੁਰਟ ਗੋਡਲ


ಕರ್ಟ್ ಗುಡ್ಲ್

കുർട്ട് ഗോഡൽ

คูร์ท เกอเดิล

ကာ့ ဂူဒယ်

쿠르트 괴델 수학자


ゲーデル, クルト




On formally undecidable propositions of Principia mathematica and related systemsFrege and Gödel; two fundamental texts in mathematical logicUnpublished philosophical essaysKurt Gödel : essays for his centennialThe P=NP question and Gödel's lost letterObras completasCollected worksIncompleteness : the proof and paradox of Kurt Gödel