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Bertrand Russell famously cited this in 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."

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10y ago
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10y ago

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 hire a female barber.

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15y ago

Say ther's a town with just one male barber, and that every man in the town keeps himself clean shaven, some by shaving themselves, some by attending the barber. It seems reasonable to imagine that the barber obeys the following rule: he shave all and only those men in town who donot shave themselves. Under this scenario, we can ask the following question. Does the barber shave himself? Asking this however, we discover that the situation presented is in fact impossible. If the barber doesnot shave himself, he must abide by the rule and shave himself. If he doesnot shave himslef, according to the rule he will not shave himself. The rule when applied to the barber himself is impossible hence the situation will never arise. The barber never shaves himself, but the barber always shaves himself. When does the barber shave himself? Anouther solution: the barber shaves himself only when he is not acting as barber.

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Q: A barber shaves all men who do not shave themselves and no-one else Can he shave himself?
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