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This is the Barber Paradox, where all men must either shave themselves or be shaved by the barber. The barber is said to "only shave men who do not shave themselves" which creates the paradox: as the barber he cannot shave himself because then he would be "shaving someone who shaves himself."

The solution, of course, is to have a female barber in Seville.

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Q: The barber of Seville shaves all of the men living in Seville no man living in Seville is allowed by law to shave himself the barber of Seville lives in Seville who shaves the barber of Seville?
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