# gödel's theorem

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gödel's theorem
noun also gödel's incompleteness theorem \\ˈgœ̅dəlz-\
Usage: usually capitalized G
Etymology: after Kurt Gödel died 1978 American mathematician
: a theorem in advanced logic: in any logical system as complex or more complex than the arithmetic of the integers there can always be found either a statement which can be shown to be both true and false or a statement whose truth or falsity cannot be deduced from other statements in the system

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Gödel's theorem /gûˈdəlz thēˈə-rəm/
noun
The theorem first demonstrated by the mathematician Kurt Gödel in 1931, that in logic and mathematics there must be true statements that cannot be proved or disproved within the system, and also that there can be no proof of the consistency of such a system from within itself

Useful english dictionary. 2012.

### Look at other dictionaries:

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• Gödel, Kurt — born April 28, 1906, Brünn, Austria Hungary died Jan. 14, 1978, Princeton, N.J., U.S. Austrian born U.S. mathematician and logician. He began his career on the faculty of the University of Vienna, where he produced his groundbreaking proof (see… …   Universalium