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A barber (who is a man) shaves all and only those men who do not shave themselves. Does he shave himself? 

 Dec 10, 2014

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Suppose there is a town with just one barber, who is male. In this town, every man keeps himself clean-shaven, and he does so by doing exactly one of two things:

  1. shaving himself; or
  2. being shaved by the barber.

Also, "The barber is a man in town who shaves all those, and only those, men in town who do not shave themselves."

From this, asking the question "Who shaves the barber?" results in a paradox because according to the statement above, he can either shave himself, or go to the barber (which happens to be himself). However, neither of these possibilities is valid: they both result in the barber shaving himself, but he cannot do this because he shaves only those men "who do not shave themselves"

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 Dec 10, 2014
 #1
avatar
+5
Best Answer

Suppose there is a town with just one barber, who is male. In this town, every man keeps himself clean-shaven, and he does so by doing exactly one of two things:

  1. shaving himself; or
  2. being shaved by the barber.

Also, "The barber is a man in town who shaves all those, and only those, men in town who do not shave themselves."

From this, asking the question "Who shaves the barber?" results in a paradox because according to the statement above, he can either shave himself, or go to the barber (which happens to be himself). However, neither of these possibilities is valid: they both result in the barber shaving himself, but he cannot do this because he shaves only those men "who do not shave themselves"

Credits to Wickipedia.com

Guest Dec 10, 2014

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