Archive for 2006

AK. Paradoxes and Liars

The mathematics of gossiping!

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AJ. The Pop Quiz

Why 462 is the least interesting number less than 1000, and the students get a paradoxical pop quiz.

(plus, the answer to the census taker’s puzzle)

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AI. Census Taker's Puzzle

The solution to the problem of the Three Gods: one always tells the truth; one always lies; one sometimes lies and sometimes tells the truth. When asked which is which, the one of the left says the one in the middle is the god of truth. The one in the middle says he sometimes lies and sometimes tells the truth. And the god on the right says the god in the middle is the god of falsehood. Who is who?

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AH. QED

There are vastly many more real numbers than fractions!

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