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Which Alice?

Which Alice?

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ALICE IN PUZZLE-LAND<br />

very old book—I don't think I've seen it since I was a boy. I lost the<br />

book a long time ago, but I remember the cases as clearly as if it<br />

were yesterday!"<br />

"This sounds interesting!" said <strong>Alice</strong>.<br />

"The most interesting part was the last chapter," continued the<br />

King. "It was all about trials of secret agents—sometimes known as<br />

spies. The chapter started out with some very simple cases and<br />

ended up with the best puzzle I've ever heard in my life!"<br />

<strong>Alice</strong> was getting more and more curious.<br />

"I can give you a verbatim account of the whole chapter, if you<br />

like!"<br />

"Oh, I certainly would like to hear it!" exclaimed <strong>Alice</strong>.<br />

"Very well then," said the King. "All the cases take place in a land<br />

far, far away—a very strange land inhabited exclusively by knights<br />

who always tell the truth, and knaves who always lie—"<br />

"Oh, I know those puzzles!" said <strong>Alice</strong>.<br />

"Now, I declare," said the King quite angrily, "you should never<br />

say you know those puzzles until you have heard what the puzzles<br />

are! There are countless puzzles about liars and truth-tellers, child,<br />

and the odds are a million to one you don't know these puzzles!<br />

"You remind me," continued the King, still vividly agitated, "of<br />

those children who, when they see a magician take out a pack of<br />

cards, about to entertain them with some conjuring tricks, say 'I<br />

know that trick!' Why, there are countless tricks which can be done<br />

with a pack of cards—just as there are countless puzzles that can be<br />

told about knights who always tell the truth and knaves who always<br />

lie. The book was old and extremely rare even in my early days, and<br />

I doubt there are any copies left at all! So, as I said, the odds are a<br />

million to one against your knowing any of these puzzles."<br />

I wonder where the King got those exact odds, thought <strong>Alice</strong>.<br />

Still, she was a little ashamed of her hastiness and decided not to<br />

interrupt the King again any more than necessary.<br />

ENTER THE FIRST SPY "Now, then," said the King, "as I said.<br />

the knights of this land always told the truth—they never lied—and<br />

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