A barber in town shaves all those, and only those, who do not shave themselves. Does the barber shave himself?

Q: A barber in town shaves all those, and only those, who do not shave themselves. Does the barber shave himself?

He cannot — it’s a paradox.. Bertrand Russell’s classic. If the barber shaves himself, he shouldn’t (he only shaves non-self-shavers). If he doesn’t, he must (he shaves all non-self-shavers). The set breaks.

Question

Accepted Answer

He cannot — it’s a paradox. — Bertrand Russell’s classic. If the barber shaves himself, he shouldn’t (he only shaves non-self-shavers). If he doesn’t, he must (he shaves all non-self-shavers). The set breaks.