51Թ

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ö

[ ջ-l ]

noun

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


ö

/ ˈɡɜːə /

noun

  1. öKurt19061978MUSAustro-HungarianPHILOSOPHY: logicianSCIENCE: mathematician Kurt (kʊrt). 1906–78, US logician and mathematician, born in Austria-Hungary. He showed ( ö'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

ö

/ ŭl /

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

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

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

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

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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 ö's incompleteness theorems can be inferred.

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

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Godefroy de Bouillonö's incompleteness theorem