Re: ... cosmology? KNIGHT & KNAVE

[Jan Harms]

> (problem 4) > You get a native, and asks her ........if Santa Claus exists. > The native answers this:  "If I am a knight then Santa Claus exists" > What can you deduce about the native, and about Santa Claus? Lets give a name to the sentence: S="If I am a knight then Santa Claus exists" 1. If the native is a knight, then S is true. If S is true and the native is a knight, then Santa Claus exists. Therefore, Santa Claus exists. 2. If the native is a knave, then S is false. If S is false (1->0), then the native must be a knight. So he can't be a knave. So a knave could never say S and be consistent. Conclusion: The native is a knight and Santa Claus exists. Jan