Hello. I can see that the first statement is logically impossible, because whether the barber shaves himself or not, the statement contains a contradiction. But why call it a paradox, as opposed to a mere impossibility?The town barber, who is a man, shaves exactly every man in the town who does not shave himself. Does the barber shave himself? — Jeremiah
Good God Almighty. Russell's paradox was resolved in 1922 by the axiom schema of specification. — fishfry
But the barber is psychically cable of shaving himself or not, our problem is with the group. Does he fit the group, or not? — Jeremiah
It does not actually say he shaves all. It is every man who does not shave himself, — Jeremiah
I'm saying that even as metaphysical dialetheist I do not believe a "barber who shaves all and only those who do not shave themselves" cant exist. — Me
This statement is false.The town barber, who is a man, shaves exactly every man in the town who does not shave himself. — Jeremiah
And that is not the paradox in the OP. Which is my point. — Jeremiah
I have to assume there's some communication issue here. I accept Russell's Paradox, but the Barber doesn't seem difficult: no such barber exists, problem solved. If the barber is tangential to your question, fine. But you did in fact bring it up.The town barber, who is a man, shaves exactly every man in the town who does not shave himself. — Jeremiah
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