Which Alice?
Which Alice? Which Alice?
ALICE IN PUZZLE-LAND premiss that no man in the town belongs to all the clubs. Why? Because if a man belonged to all the clubs, then he would belong to the Hearts Club in particular, yet no man belonging to all the clubs can belong to the Hearts Club. Therefore, no man belongs to all the clubs." "I see that," said Alice. "This means," he continued, "that every man is outside at least one club, but any man outside any club loves all the ladies in the Hearts Club. Therefore, all the men in town love all the ladies in the Hearts Club, but since all the ladies are in the Hearts Club, then all the men in town love all the ladies in town." "That was interesting!" said Alice. "Tell me another!" "Well," said Humpty Dumpty, "would you believe it if I told you I had a baby?" "Why not?" said Alice. "And would you also believe it if I told you that everybody loves my baby?" "Why not?" said Alice. "And would you also believe it if I told you that my baby loves only me?" "I don't see why not," replied Alice. "Ah!" said Humpty Dumpty, "if you believed all those things, then you'd be inconsistent!" "Why?" asked Alice. "Or at least you would be driven to a very absurd conclusion: You don't believe I'm my own baby, do you?" "Of course not!" replied Alice. "Well, you'd have to if you believed all those other things!" "Why?" asked Alice, who was very puzzled. "It's just simple logic, that's all. Look, suppose those other things were true. Since everyone loves my baby, then my baby also loves my baby." "Oh, I hadn't thought of that!" said Alice. "Of course not, but you should have, you know. You should always think of everything." 98
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ALICE IN PUZZLE-LAND<br />
premiss that no man in the town belongs to all the clubs. Why?<br />
Because if a man belonged to all the clubs, then he would belong to<br />
the Hearts Club in particular, yet no man belonging to all the clubs<br />
can belong to the Hearts Club. Therefore, no man belongs to all the<br />
clubs."<br />
"I see that," said <strong>Alice</strong>.<br />
"This means," he continued, "that every man is outside at least<br />
one club, but any man outside any club loves all the ladies in the<br />
Hearts Club. Therefore, all the men in town love all the ladies in the<br />
Hearts Club, but since all the ladies are in the Hearts Club, then all<br />
the men in town love all the ladies in town."<br />
"That was interesting!" said <strong>Alice</strong>. "Tell me another!"<br />
"Well," said Humpty Dumpty, "would you believe it if I told you I<br />
had a baby?"<br />
"Why not?" said <strong>Alice</strong>.<br />
"And would you also believe it if I told you that everybody loves<br />
my baby?"<br />
"Why not?" said <strong>Alice</strong>.<br />
"And would you also believe it if I told you that my baby loves<br />
only me?"<br />
"I don't see why not," replied <strong>Alice</strong>.<br />
"Ah!" said Humpty Dumpty, "if you believed all those things,<br />
then you'd be inconsistent!"<br />
"Why?" asked <strong>Alice</strong>.<br />
"Or at least you would be driven to a very absurd conclusion: You<br />
don't believe I'm my own baby, do you?"<br />
"Of course not!" replied <strong>Alice</strong>.<br />
"Well, you'd have to if you believed all those other things!"<br />
"Why?" asked <strong>Alice</strong>, who was very puzzled.<br />
"It's just simple logic, that's all. Look, suppose those other things<br />
were true. Since everyone loves my baby, then my baby also loves<br />
my baby."<br />
"Oh, I hadn't thought of that!" said <strong>Alice</strong>.<br />
"Of course not, but you should have, you know. You should always<br />
think of everything."<br />
98