|←||071 - Sausage Thief||072 - Truth and Lies||073 - How Many Squares?||→|
Here's a famous puzzle. One of these three is telling the truth, and the other two are lying. Based on their statements, can you determine who is telling the truth?
A: I never lie.
B: A is lying. I'm the one telling the truth!
C: B is lying, I'm the honest one!
That's right! B is telling the truth.
The only way for there to be just one person telling the truth is if what B says is true. If A is telling the truth, then C's statement that B is a liar also becomes true. On the other hand, if C is telling the truth, then B's statement that A is a liar becomes true. In both cases you end up with two truth-tellers and one liar, so the only possible solution is that B is the one telling the truth.
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