There is a village. Maybe in Wiltshire. In this village, all the men are clean shaven. Some shave themselves. Others are seen to by the barber. There's only one barber in the village. The barber shaves every man in the village who doesn't shave himself, and only those men.
The barber's male, so does he shave himself?
Say the barber doesn't shave himself. Well, by definition he's supposed to shave all the men who don't shave themselves, so this can't be true and he must shave himself.
But if he does shave himself, he doesn't shave only the men in the village who do not shave themselves.
But if he doesn't shave himself...