Tuesday, December 05, 2006

weekly puzzle

what movie is this from?



unrelated part B)

Raymond Smullyan has made a career of writing logic problems. His most famous have to do with a mythical island of Knights and Knaves. Knights always tell the truth, and Knaves always lie.

As you approach the island, you spot three inhabitants on the shore. You call out to them, "Are you Knights or Knaves?" The first says something but you do not hear what he says, so you ask, "What did you say?" The second inhabitant says, "He says he is a Knight, he is and so am I." The third responds, "He is a Knave, but I am a Knight." What are the three inhabitants really?

the answers are
a) say anything
b) knight, knight, knave.

both lily and darlene are correct, although i believe laura came in with the answer to part a first. yay john cusack.

2 Comments:

At 6/12/06 15:48, Blogger Darlene said...

If the second inhabitant is lying, then the first must not say he is a knight, the first must be a knave, and the second must be a knave. If the first must not say he is a knight, then he is saying he's a knave, which means he cannot possible be a knave (because knaves always lie). Therefore it is impossible for the second inhabitant to be lying. One is a knight, so three must be lying, and is therefore a knave.

one = knight
two = knight
three = knave


yaaaay procrastination

 
At 6/12/06 22:10, Blogger lily said...

say anything...

 

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