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Which Alice?

Which Alice?

Which Alice?

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ALICE IN PUZZLE-LAND<br />

"I'm really not quite sure," she replied. "Did he or didn't he?"<br />

"I'd says he didn't," replied the Gryphon, "only others say<br />

different, they does!"<br />

"Just what is their argument?" asked <strong>Alice</strong>.<br />

"They says that because George walked completely around the<br />

organ, and the monkey was on top of the organ the whole time,<br />

then George's path completely encircled the monkey, therefore<br />

George must have walked around him. But I says different—I says<br />

if George had walked around the monkey, he would have seen the<br />

monkey's back. Did he see the monkey's back? No! Therefore<br />

George couldn't have walked around him nohow!"<br />

"That's very interesting!" said <strong>Alice</strong>. "In a way I can see both<br />

points of view, and I'm not sure which one I find more convincing."<br />

"Well, here's another," said the Gryphon.<br />

"There was this here American dealer who sold used gadgets. A<br />

customer bought a used gadget from him for ten dollars. Soon after<br />

he bought it, the customer decided he didn't like it, so he sold it<br />

back to the dealer for eight dollars. Then comes along another<br />

customer and buys it from the dealer for nine dollars. How much<br />

profit did the dealer make?"<br />

<strong>Alice</strong> thought about this for a while.<br />

"Now, I gets three different answers from three different types of<br />

peoples," said the Gryphon, chuckling. "The first type tells me that<br />

the dealer made two dollars from the first customer, because he sold<br />

it to him for ten dollars and bought it back for eight dollars. But<br />

then having bought it back for eight dollars and having sold it to the<br />

second one for nine dollars, he makes another dollar. So altogether<br />

he makes three dollars on the deal.<br />

"The second type tells me that to begin with, the gadget is worth<br />

ten dollars. Then, like the first type, he says the dealer makes two<br />

dollars off the first customer. But he then sells a ten-dollar article to<br />

the second customer for only nine dollars, so he loses one of the two<br />

dollars he had gained. So his net gain is one dollar.<br />

"Then there's the third type, who, like the other two, tells me that<br />

the dealer made two dollars from the first customer. But when he<br />

sells the gadget to the second one for nine dollars, he has merely<br />

exchanged it for the nine dollars it is worth, so makes neither profit<br />

32

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