A village has a barber in it, who shaves all and only the people who do not shave themselves. Who shaves the barber? If he shaves himself, then he does not, but if he does not shave himself, then he does. The paradox is actually just a proof that there is no such barber, or in other words, that the condition is inconsistent. See also Russell's paradox.
Philosophy dictionary. Academic. 2011.