Russells paradox

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Russell's paradox A contradiction originally formulated by Bertrand Russell and phrased in terms of set theory. Let T be the set of all sets that are not members of themselves, i.e. T = {S | SS}

Then it can be shown that T is a member of T if and only if T is not a member of T.

The paradox results from certain kinds of recursive definitions. It arises for example in the following situation: the barber in a certain town shaves everyone who does not shave himself; who shaves the barber?

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Russells paradox

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