Post: Hardest Riddle?
07-25-2009, 11:31 PM #1
AgentJon
Former Staff
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Why is this a paradox? Can you solve it?
There is a village where the barber shaves all those and only those who do not shave themselves. Who shaves the barber?


Answer& link

    https://answers.yahoo.com/question/index;_ylc=X3oDMTB2Y2t1c212BF9TAzIxMTUzMDA5ODgEc2VjA2ZwBHNsawN0b2RheXE-?qid=20090625164520AAgNZ4A



OK. take a deep breath and read this slowly, because it is very tricky. First two definitions:

def 1) All and only those who shave themselves = S

def 2) All people in the village, including the barber, are either members of S or members of not-S. there is no one in the village that is a member of both.

If the barber shaved himself then he would be a member of S.
If the barber does not shave himself then he would be a member of not-S.

A barber who must shave all and only not-S can not shave any S

The barber can not shave himself, because he would be shaving a member of S

if the barber is not a self shaver then he is a member of not-S

The barber must shave himself because he must shave all members of not-S

Thus he must both shave and not shave himself

This is the paradox.

No one else in the village can shave the barber because only the barber can shave members of not-S.

This is a variation of Russel's paradox, and there are several ways to solve, or attempts, to solve this depending on how it is interpreted. I'm not even going to attempt a solution here. Someone could, and probably has, written a doctoral thesis on the subject.
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07-26-2009, 04:41 PM #11
ItsonFire911
Vault dweller
The barber just needs to ask his wife to shave him duh. Never states that the barber is the only one who has to shave people
07-26-2009, 06:08 PM #12
elfmotat
Rᵤᵥ - ½gᵤᵥR ∝ Tᵤᵥ
Originally posted by ItsonFire911 View Post
The barber just needs to ask his wife to shave him duh. Never states that the barber is the only one who has to shave people


yes it does. it says that he shaves EVERYONE, except those who shave themselves.
07-26-2009, 06:25 PM #13
ShAdoW_RiDa
Former Blue Mod
Originally posted by tA.
Saw the table into smaller pieces for firewood then use the lighter to set it alight then the heat will melt the metal :p


Nope sorry... Remember.. It's not that simple.. You have to think Smile
07-26-2009, 06:37 PM #14
What is so fragile, when you say it's name you break it?
07-26-2009, 06:40 PM #15
Dopey
NGU :/
armpi.t
umm anythin with it broken up in the middle?

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