Kurt Friedrich Gödel (UK: /ˈɡɜːrdəl/, US: /ˈɡoʊ-/;[2] German:
[ˈkʊɐ̯t ˈɡøːdl̩] ( listen); April 28, 1906 –
January 14, 1978) was an Austrian, and later American, logician,
mathematician, and philosopher. Considered along with Aristotle,
Contents 1 Early life and education 1.1 Childhood 1.2 Studying in Vienna 2 Career 2.1 Incompleteness Theorem 2.2 Mid-1930s: further work and U.S. visits 2.3 Princeton, Einstein, U.S. citizenship 3 Awards and honours 4 Later life and death 5 Personal life 5.1 Religious views 6 Legacy 7 Bibliography 7.1 Important publications 8 See also 9 Notes 10 References 11 Further reading 12 External links Early life and education[edit]
Childhood[edit]
Gödel was born April 28, 1906, in Brünn,
"Kurt Gödel's achievement in modern logic is singular and monumental – indeed it is more than a monument, it is a landmark which will remain visible far in space and time. ... The subject of logic has certainly completely changed its nature and possibilities with Gödel's achievement." —John von Neumann[12] In 1931 and while still in Vienna, Gödel published his incompleteness
theorems in Über formal unentscheidbare Sätze der "Principia
Mathematica" und verwandter Systeme (called in English "On Formally
Undecidable Propositions of "Principia Mathematica" and Related
Systems"). In that article, he proved for any computable axiomatic
system that is powerful enough to describe the arithmetic of the
natural numbers (e.g., the
If a (logical or axiomatic formal) system is consistent, it cannot be complete. The consistency of axioms cannot be proved within their own system. These theorems ended a half-century of attempts, beginning with the
work of
Gravestone of Kurt and Adele Gödel in the Princeton, N.J., cemetery Later life and death[edit]
Later in his life, Gödel suffered periods of mental instability and
illness. He had an obsessive fear of being poisoned; he would eat only
food that his wife, Adele, prepared for him. Late in 1977, she was
hospitalized for six months and could no longer prepare her husband's
food. In her absence, he refused to eat, eventually starving to
death.[26] He weighed 29 kilograms (65 lb) when he died. His
death certificate reported that he died of "malnutrition and inanition
caused by personality disturbance" in
1930, "Die Vollständigkeit der Axiome des logischen Funktionenkalküls." Monatshefte für Mathematik und Physik 37: 349–60. 1931, "Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme, I." Monatshefte für Mathematik und Physik 38: 173–98. 1932, "Zum intuitionistischen Aussagenkalkül", Anzeiger Akademie der Wissenschaften Wien 69: 65–66. In English: 1940. The Consistency of the
In English translation: Kurt Godel, 1992. On Formally Undecidable Propositions Of Principia
Mathematica And Related Systems, tr. B. Meltzer, with a comprehensive
introduction by Richard Braithwaite. Dover reprint of the 1962 Basic
Books edition.
Kurt Godel, 2000.[35] On Formally Undecidable Propositions Of
1930. "The completeness of the axioms of the functional calculus of logic," 582–91. 1930. "Some metamathematical results on completeness and consistency," 595–96. Abstract to (1931). 1931. "On formally undecidable propositions of Principia Mathematica and related systems," 596–616. 1931a. "On completeness and consistency," 616–17. "My philosophical viewpoint", c. 1960, unpublished. "The modern development of the foundations of mathematics in the light of philosophy", 1961, unpublished. Collected Works: Oxford University Press: New York. Editor-in-chief: Solomon Feferman. Volume I: Publications 1929–1936 ISBN 978-0-19-503964-1 / Paperback: ISBN 978-0-19-514720-9, Volume II: Publications 1938–1974 ISBN 978-0-19-503972-6 / Paperback: ISBN 978-0-19-514721-6, Volume III: Unpublished Essays and Lectures ISBN 978-0-19-507255-6 / Paperback: ISBN 978-0-19-514722-3, Volume IV: Correspondence, A–G ISBN 978-0-19-850073-5, Volume V: Correspondence, H–Z ISBN 978-0-19-850075-9. See also[edit] Biography portal Logic portal Gödel machine Gödel Prize Gödel's speed-up theorem List of Austrian scientists List of pioneers in computer science Original proof of Gödel's completeness theorem Slingshot argument Notes[edit] ^ a b Kreisel, G. (1980). "Kurt Godel. 28 April 1906-14 January 1978".
Biographical Memoirs of Fellows of the Royal Society. 26: 148–224.
doi:10.1098/rsbm.1980.0005.
^ "Gödel". Collins English Dictionary.
^ a b For instance, in their
References[edit] Dawson, John W., 1997. Logical dilemmas: The life and work of Kurt Gödel. Wellesley MA: A K Peters. Rebecca Goldstein, 2005. Incompleteness: The Proof and Paradox of Kurt Gödel. W. W. Norton & Company, New York. ISBN 0-393-32760-4 pbk. Further reading[edit] John L. Casti and Werner DePauli, 2000. Gödel: A Life of Logic, Basic
Books (Perseus Books Group), Cambridge, MA. ISBN 0-7382-0518-4.
John W. Dawson, Jr. Logical Dilemmas: The Life and Work of Kurt
Gödel. AK Peters, Ltd., 1996.
John W. Dawson, Jr, 1999. "Gödel and the Limits of Logic", Scientific
American, vol. 280 num. 6, pp. 76–81
Torkel Franzén, 2005. Gödel's Theorem: An Incomplete Guide to Its
Use and Abuse. Wellesley, MA: A K Peters.
Ivor Grattan-Guinness, 2000. The Search for Mathematical Roots
1870–1940. Princeton Univ. Press.
Jaakko Hintikka, 2000. On Gödel. Wadsworth.
Douglas Hofstadter, 1980. Gödel, Escher, Bach. Vintage.
Stephen Kleene, 1967. Mathematical Logic. Dover paperback reprint ca.
2001.
Stephen Kleene, 1980. Introduction to Metamathematics. North Holland
ISBN 0-7204-2103-9 (Ishi Press paperback. 2009.
ISBN 978-0-923891-57-2)
J.R. Lucas, 1970. The Freedom of the Will. Clarendon Press, Oxford.
Procházka, Jiří 2017. "Kurt Gödel: 1906-1978: Curriculum
vitae".ITEM, Brno, Wien, Princeton 2017. Volume I.
ISBN 978-80-903476-9-4. In Ger., Engl.
Hao Wang, 1987. Reflections on Kurt Gödel. MIT Press.
Hao Wang, 1996. A Logical Journey: From Godel to Philosophy. MIT
Press.
Yourgrau, Palle, 1999. Gödel Meets Einstein: Time Travel in the
Gödel Universe. Chicago: Open Court.
Yourgrau, Palle, 2004. A World Without Time: The Forgotten Legacy of
Gödel and Einstein. Basic Books. Book review by John Stachel in the
Notices of the
External links[edit] Wikimedia Commons has media related to Kurt Gödel. Wikiquote has quotations related to: Kurt Gödel Weisstein, Eric Wolfgang (ed.). "Gödel, Kurt (1906–1978)".
ScienceWorld.
Kennedy, Juliette. "Kurt Gödel". In Zalta, Edward N. Stanford
Encyclopedia of Philosophy.
Time Bandits: an article about the relationship between Gödel and
Einstein by Jim Holt
"Gödel and the limits of logic" by John W Dawson Jr. (June 2006)
Notices of the AMS, April 2006, Volume 53, Number 4 Kurt Gödel
Centenary Issue
Paul Davies and Freeman Dyson discuss Kurt Godel
"Gödel and the Nature of Mathematical Truth" Edge: A
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