Gödel's incompleteness theorem

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noun Logic, Mathematics.

the theorem that states that in a formal logical system incorporating the properties of the natural numbers, there exists at least one formula that can be neither proved nor disproved within the system.

the corollary that the consistency of such a system cannot be proved within the system.

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Origin of Gödel's incompleteness theorem

After K. Gödel, who formulated it

Words nearby Gödel's incompleteness theorem

goddaughter, Godden, goddess, Godefroy de Bouillon, Gödel, Gödel's incompleteness theorem, godendag, Goderich, Godesberg, godet, godetia

How to use Gödel's incompleteness theorem in a sentence

“A guy drives up in a 2008 Mercedes, brand new,” Harry S. Connelly Jr. says in the video, according to the Times.
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“Personal hotspots can get speeds of up to 60 Mb/s down, whereas hotel Wi-Fi can be as slow as 1.5 Mb/s,” Sesar said.
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In our headlong quest for a legally perfect society, we don’t take the time to take stock of what‘s been created so far.
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“The thing [North Korean government] want[s] the most is the non-release of this film,” Schiff said.
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A third cabinet member used public funds to pay in an S & M bar.
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Ajoutez cecy, s'il vous plaist, la grande difficult qu'il y a de tirer d'eux les mots mesmes qu'ils ont.
The Jesuit Relations and Allied Documents, Vol. II: Acadia, 1612-1614|Various
Neantmoins le vieil Membertou, pere du malade, conceut asss l'affaire, et me promit qu'on s'arresteroit tout ce que j'en dirois.
The Jesuit Relations and Allied Documents, Vol. II: Acadia, 1612-1614|Various
En effet un soir, sa femme et enfans l'abandonnerent entierement, et s'en allerent cabaner ailleurs, pensant que c'en estoit vuid.
The Jesuit Relations and Allied Documents, Vol. II: Acadia, 1612-1614|Various
Mrs. S. said she was familiar with it from having heard Thomas's orchestra play it in New York.
Music-Study in Germany|Amy Fay
C'est asss demeur la maison; sortons un peu dehors, comme nous avons promis de faire, et racontons ce qui s'est pass par le pays.
The Jesuit Relations and Allied Documents, Vol. II: Acadia, 1612-1614|Various