Which Alice?
Which Alice?
Which Alice?
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ALICE IN PUZZLE-LAND<br />
awake, then it is not true that they are either both asleep or<br />
both awake. This means that one of them is asleep and the other is<br />
awake. The one who's sleeping he believes is awake, and the one<br />
who's awake he believes is asleep.<br />
7—Since his belief is wrong, then in fact the Lion must be in the<br />
forest without the Unicorn. Therefore the Lion is in the forest. So<br />
he must believe that the Lion is not in the forest.<br />
8—Since his belief is false, then the Jabberwocky has never made<br />
any true statements in his life; all statements ever made by the<br />
Jabberwocky have been false. Therefore the Looking-Glass logician<br />
must believe every one of them!<br />
9—Since he believes that all gryphons have wings, then it is false<br />
that all gryphons have wings, which means there must be at least<br />
one gryphon without wings. Therefore there must be at least one<br />
gryphon.<br />
10—This is a trick question, because it is not possible that a<br />
Looking-Glass logician can believe both these facts!<br />
Suppose he believes that <strong>Alice</strong> won't reach the eighth square<br />
without becoming a queen. Then it is false that <strong>Alice</strong> won't reach<br />
the eighth square without becoming a queen, which means that<br />
<strong>Alice</strong> will reach the eighth square without becoming a queen. Hence<br />
it is true that <strong>Alice</strong> will reach the eighth square, so it is impossible<br />
that the Looking-Glass logician can believe that she will.<br />
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