Posted by Sam on Tuesday, January 16, 2007 at 7:23pm.
This exercise relate to the inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, A and B. Determine, if possible, what A and B are if they address you in the way described. If you cannot determine what these two people are, can you draw any conclusions?
A says “The two of us are both knights”, and B says “A is a knave”.
A says:if B is a knave, then I am a knight
B says: we are different
Who is who?
If A says we are both knights, then you know that he is lying because both can't be.
In part two which is the only statement that can be true?
If A is a liar, then both are not knights, and A is a knave.
If B is the liar, then A is a knight.
let a be knave, b be knave, A be knight, B Knight.
a ab or aB
Conclusions. cant be Ab, or AB, or aB
Think out why.
A can be Ab or AB
a can not be Ab
B aB or Ab
check my thinking.
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