Kurt Gödel


 
 

Kurt Gödel (; April 28, 1906, Brno, Moravia ? January 14, 1978, Princeton, New Jersey, USA) was an Austrian-American logician, mathematician and philosopher. One of the most significant logicians of all time, Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when many, such as Bertrand Russell, A. N. Whitehead and David Hilbert, were pioneering the use of logic and set theory to understand the foundations of mathematics.

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Gödel is best known for his two incompleteness theorems, published in 1931 when he was 25 years of age, one year after finishing his doctorate at the University of Vienna. The more famous incompleteness theorem states that for any self-consistent recursive axiomatic system powerful enough to describe the arithmetic of the natural numbers (Peano arithmetic), there are true propositions about the naturals that cannot be proved from the axioms. To prove this theorem, Gödel developed a technique now known as Gödel numbering, which codes formal expressions as natural numbers.

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He also showed that the continuum hypothesis cannot be disproved from the accepted axioms of set theory, if those axioms are consistent. He made important contributions to proof theory by clarifying the connections between classical logic, intuitionistic logic, and modal logic.

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Brno: Brno (-Czech, German: Br?nn) is the second-largest city of the Czech Republic, located in the southeast of the country, at the confluence of the Svitava and Svratka rivers....

Moravia: Moravia (Czech and Slovak: Morava, German: M?hren, Polish: Morawy, Hungarian: Morvaorsz?g) is an historical region in the east of the Czech Republic. It takes its name from the River Morava which rises in the north-west of the region....

Princeton, New Jersey: :See also: Borough of Princeton, New Jersey and Princeton Township, New Jersey For other Princetons, see Princeton....


Kurt Gödel related Images and Photos (experimental)

Fluer De L'a Amie
Fluer De L'a Amie
Grand Prix de l'A.C.F.  1935
Grand Prix de l'A.C.F. 1935
Kurt Angle
Kurt Angle
Kurt Angle
Kurt Angle
Kurt Busch
Kurt Busch
Biere de L' Éclair
Biere de L' Éclair
Spoon: Ga Ga Ga Ga Ga CD
Spoon: Ga Ga Ga Ga Ga CD
Spoon: Ga Ga Ga Ga Ga CD
Spoon: Ga Ga Ga Ga Ga CD
Spoon: Ga Ga Ga Ga Ga CD
Spoon: Ga Ga Ga Ga Ga CD
Spoon: Ga Ga Ga Ga Ga CD
Spoon: Ga Ga Ga Ga Ga CD
Kurt Cobain
Kurt Cobain
Marieta de L'ull Viu
Marieta de L'ull Viu

~ Table of Content ~

Introduction
Life
Legacy
Religious views
Important publications
See also
Notes
References
Further reading
External links
 
FR: Kurt Gödel


 

~ Related Subjects ~

Czech Republic (2) - German (2) - Czech (2) - Intuitionistic logic (1) - Classical logic (1) - Princeton (1) - Modal logic (1) - Proof theory (1) - Gödel numbering (1) - Axioms (1) - Axioms of set theory (1) - Continuum hypothesis (1) - Polish (1) - Slovak (1) - Morava (1) -
 

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