russell paradox

Russell's paradox

noun Mathematics.
a paradox of set theory in which an object is defined in terms of a class of objects that contains the object being defined, resulting in a logical contradiction.

Origin:
1920–25; first proposed by Bertrand Russell

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Russell's paradox
 
n
logic the paradox discovered by Bertrand Russell in the work of Gottlob Frege, that the class of all classes that are not members of themselves is a member of itself only if it is not, and is not only if it is. This undermines the notion of an all-inclusive universal class

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