Which Alice?

ALICE IN PUZZLE-LAND
that he is a knight—this statement must be false, which makes him a
knave! So we have a paradox."
"So it seems," said Humpty Dumpty, "and yet—"
"I guess the only solution is that the given conditions are
impossible," interrupted Alice. "No inhabitant of a knight-knave
land could ever make such a statement."
"So it would seem," replied Humpty Dumpty, "and yet—"
Here Humpty Dumpty paused and got lost deeply in thought
"And yet, what?" asked Alice.
"And yet, child, I don't really know—I say a knight could have
made that statement—at least to you he could."
"Why to me?" asked Alice.
"Because of the way you reacted!" replied Humpty Dumpty.
"Suppose you actually went to such a land and met an inhabitant
who did make that statement. What would you make of it?"
"I told you," replied Alice, "that I would be doubtful that the
given conditions applied. In other words, I would be doubtful that
the knights always told the truth and the knaves always lied."
"Then you would have no idea whether the speaker was a knight
or a knave?"
"Of course not," replied Alice, "how could I?"
"Then the fellow told the truth after all, so he could be a knight
and it could be that the given conditions do hold!"
"Oh, dear," said Alice, "it seems that whatever I say is wrong!"
"Exactly!" replied Humpty Dumpty triumphantly. "And that's
the beautiful part of it!"
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