According to the Barber Paradox, a barber who shaves all the men in the village who do not shave themselves creates a problem. If the paradox states that he shaves all the men who do not shave themselves, then by his own admission, he must also shave himself. But if he shaves himself, then he is no longer shaving all the men in the village who do not shave themselves, and thus the paradox is resolved.
Or not.
Either way, it's a real brain-twister.
Want to see more of the paradox? Click here for the solution to the paradox, but not really.