Which Alice?

And That's the Beautiful Part of It!
figures 10 and 11 in both sentences and rewrote 11, 10 in their
places, so the pages now looked like this:
"Now," said Humpty Dumpty, "is the sentence on page eleven
true or false?"
Alice thought about this for some time and suddenly saw the
solution.
"It couldn't be either," she said. "It's again a paradox!"
"Right you are!" said Humpty Dumpty. "Only how would you
prove it?"
"Well," said Alice, "the sentence on page eleven is really asserting
its own falsehood—only indirectly: it affirms the sentence on page
ten which asserts the falsehood of the sentence on page eleven. So if
the sentence on page eleven is true, it must also be false, and if it is
false, it must also be true. So we have a paradox."
"Now you're really learning!" exclaimed Humpty Dumpty in a
satisfied tone.
"Actually there is one paradox I could never figure out!" said
Alice. "Perhaps you can help me?"
"Indeed, I'll be glad to," said Humpty Dumpty proudly. "I can
solve any puzzle that's ever been invented, and a lot more that
haven't. What's your problem?"
"It's the one about the barber," replied Alice. "A certain barber
living in a small town shaves all the inhabitants who don't shave
themselves and never shaves any inhabitant who does shave himself.
Does the barber shave himself or not?"
"Oh, that's an old one, and a very easy one!" laughed Humpty
Dumpty.
"I can't see any possible solution!" said Alice. "I've thought it over
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