Which Alice?

ALICE IN PUZZLE-LAND
and can't get anywhere! If the barber shaves himself, then he is
violating his rule by shaving someone who shaves himself. If he
doesn't shave himself, then he is one of those who don't shave
themselves, and since he shaves all such people, then he must shave
himself. So whether he shaves himself or not, you get a contradiction!
Now, you can't get out of this one by saying, 'It's neither true
nor false that he shaves himself,' because it must be either true or
false that he shaves himself!"
"That who shaves himself?" asked Humpty Dumpty.
"Why the barber, of course!"
"Which barber?" asked Humpty Dumpty.
"Obviously the barber of the story!" replied Alice, a bit impatiently.
"Oh, really now?" said Humpty, "and who ever said the story is
true?"
Alice thought about this for a moment.
"Come now," said Alice, "it is given that the barber is as described;
in approaching a puzzle, one can't deny what's given!"
"Can't one?" replied Humpty Dumpty, "even when the so-called
given is self-contradictory?"
This was a new idea to Alice.
"The fact is," continued Humpty Dumpty, "there is no such
barber, there never has been any such barber, and there never will
be any such barber. There simply couldn't be such a barber, because
if there were, you would have a contradiction."
Alice was not quite convinced.
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