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