AL. Rumors and suckers
In which we show gossip is unreliable and how you can always fleece a sucker.
Archive for answers
AK. Paradoxes and Liars
The mathematics of gossiping!
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)
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?
AG. The Eagle
How to do infinitely many things in a few minutes!
AF. Counting All Rationals
Are there more fractions than counting numbers?
AE. The Jalopy
An old jalopy zooms up and down Arkansas hills…
AD. Bigger and Smaller Infinities
Are there only half as many even numbers as counting numbers?
AC. No Vacancy
A hotel with an infinite number of rooms, all filled, but room for more?
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AB. The Rational Ruler
Finer and finer, a ruler with infinitely many marks…
We answer last week’s puzzle, discuss rational and irrational numbers, and pose a little question about coins.
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