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Gödel

[gœd-l]

noun

  1. Kurt 1906–78, U.S. mathematician and logician, born in Austria-Hungary.



Gödel

/ ˈɡɜːdəl /

noun

  1. Kurt (kʊrt). 1906–78, US logician and mathematician, born in Austria-Hungary. He showed ( Gödel's proof ) that in a formal axiomatic system, such as logic or mathematics, it is impossible to prove consistency without using methods from outside the system

“Collins English Dictionary — Complete & Unabridged” 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Gödel

  1. Austrian-born American mathematician who in 1931 published the most important axiom in modern mathematics, known as Gödel's proof. It states that in any finite mathematical system, there will always be statements that cannot be proved or disproved. Gödel's proof ended efforts by mathematicians to find a mathematical system that was entirely consistent in itself.

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Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

Lepore ends a lengthy 2021 exploration of Gödel’s Loophole — the logician’s 1947 theory of how the U.S.

Constitution could permit a transition to dictatorship — by glumly concluding, “What Gödel did not realize is that it’s actually a lot easier than that.”

The halting problem is a direct application of mathematician Kurt Gödel’s incompleteness theorems, which state that not all mathematical statements can be proved.

After all, work in this field is based on a few basic assumptions that are as simple as possible—such as that there is an empty set—from which results as complicated as Gödel's incompleteness theorems can be inferred.

In 1991 Douglas Hofstadter, the author of Gödel, Escher, Bach, organized scientists to write letters to the Nobel Committee recommending Wu for the physics prize.

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Godefroy de BouillonGödel's incompleteness theorem