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Kurt Gödel (IPA: ) (April 28, 1906 Brno, then Austria-Hungary, now Czech RepublicJanuary 14, 1978 Princeton, New Jersey) was a logician, mathematician, and philosopher of mathematics.

One of the most significant logicians of all time, Gödel's work has had 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 attempting to use logic and set theory to understand the foundations of mathematics.

Gödel is best known for his two incompleteness theorems, published in 1931 when he was 25 years of age, and only 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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@bonotake @ranha @kururu_goedel そうですね、「位相と論理」は、教科書と言うよりレジュメですね。確かに読みにくい本だと思います。
ytb_at_twt (Shunsuke Yatabe) Sun, 03 Jan 2010 10:30:23 -0000
@bonotake @ranha @kururu_goedel そうですね、「位相と論理」は、教科書と言うよりレジュメですね。確かに読みにくい本だと思います。
@kururu_goedel おやすみなさい。
h_kagami (鏡 弘道) Sun, 03 Jan 2010 07:06:26 -0000
@kururu_goedel おやすみなさい。
http://bit.ly/5HceSE Toller Vortrag aus Berlin: Kurt Goedel - I do not fit into this century
nivoc (nivoc) Sat, 02 Jan 2010 13:13:14 -0000
http://bit.ly/5HceSE Toller Vortrag aus Berlin: Kurt Goedel - I do not fit into this century
@_peanut_ Goëdel, Escher, Bach. It's a book on logic, music, mathematics, language and philosophy on those subjects. Hard to describe. :)
RealityMonster (Vincent Jan Goh) Sat, 02 Jan 2010 04:32:24 -0000
@_peanut_ Goëdel, Escher, Bach. It's a book on logic, music, mathematics, language and philosophy on those subjects. Hard to describe. :)
@kururu_goedel では、二つの論文に違う文章を書いてはいかがでしょうか。定義は同じでも、「引用する」という英語の紳士的な表現はいろいろあるのはご存知の通りです
ikegami__ (Ikegami Daisuke) Sat, 02 Jan 2010 04:22:09 -0000
@kururu_goedel では、二つの論文に違う文章を書いてはいかがでしょうか。定義は同じでも、「引用する」という英語の紳士的な表現はいろいろあるのはご存知の通りです
@kururu_goedel 引用していれば問題ないでしょ。
shinji_kono (Shinji Kono) Sat, 02 Jan 2010 04:13:56 -0000
@kururu_goedel 引用していれば問題ないでしょ。

 
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Gödel Tutorial - A rather brief tutorial from Walla Walla.

The Gödel Programming Language - Declarative, general-purpose programming language in the set of logic languages. Strongly typed: type system based on many-sorted logic with parametric polymorphism.

The Gödel Programming Language - Experimental Gödel with Generic (Parametrised) Modules.

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