http://answers.yahoo.com/q2Y2t1c212BF9TAzIxMTUzMDA5ODgEc2VjA2ZwBHNsawN0b2RheXE-?qid=20090625164520AAgNZ4A
is where I found this, here is the paradox, below it is my response and below that is the response of the person who was chosen as the "best" answer so far as the person asking the question is concerned.
The Paradox: There is a village where the barber shaves all those and only those who do not shave themselves. Who shaves the barber?
My answer. Given the answer below I must say that One (of seemingly few) answer to this would be that the barber must have his body shave him however someone else must control the movements of his body so that in some sense it was someone else shaving him and in some other sense he was the only person who was allowed to shave those who couldn't shave themselves while still not shaving those who could. Because it would be someone elses motions in shaving him it wouldn't be his motions shaving him but because it was his hand and He Could shave it was therefore possible for someone else to use Their muscles to control His body while he involuntarily was shaved by his own self, ish. So, does it give a perfect solution? No, but in my opinion it isn't something worth making a paradox over, if a barber only shaved the people who didn't shave themselves (as opposed to couldn't) it would make it real-life as such no one would have Ever asked such a redundantly moronic question. Yes, I hope someone with a thesis who Wrote his/her thesis on this paradox reads this and is offended! =)
The response chosen on that particular site.
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.
is where I found this, here is the paradox, below it is my response and below that is the response of the person who was chosen as the "best" answer so far as the person asking the question is concerned.
The Paradox: There is a village where the barber shaves all those and only those who do not shave themselves. Who shaves the barber?
My answer. Given the answer below I must say that One (of seemingly few) answer to this would be that the barber must have his body shave him however someone else must control the movements of his body so that in some sense it was someone else shaving him and in some other sense he was the only person who was allowed to shave those who couldn't shave themselves while still not shaving those who could. Because it would be someone elses motions in shaving him it wouldn't be his motions shaving him but because it was his hand and He Could shave it was therefore possible for someone else to use Their muscles to control His body while he involuntarily was shaved by his own self, ish. So, does it give a perfect solution? No, but in my opinion it isn't something worth making a paradox over, if a barber only shaved the people who didn't shave themselves (as opposed to couldn't) it would make it real-life as such no one would have Ever asked such a redundantly moronic question. Yes, I hope someone with a thesis who Wrote his/her thesis on this paradox reads this and is offended! =)
The response chosen on that particular site.
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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