My friend told me this complex story. Everyone in it is either a knight, knave, or liar (more than one person can have the same status). Knights always tell truths, liars always lie, and knaves always alternate every statement.

Everyone knew the status of everyone else except for my friend (he knew nothing at first). If anyone lied about what someone said, they didn’t lie about who, when, or whether they said it; they only lied about what the person said. The story goes as follows.

Aaron and Bill were talking to me.
Aaron told me what he was.
At this point, I could tell what Aaron was.
Bill told me one thing that he wasn’t.
Aaron told me that Cassie was a knight.
I then could figure out what Cassie was.
Bill told me that Cassie was a knave.
I thought about this for a minute.
I soon found that the previous thing Bill said allowed me to know for sure what the last of the three people were.

What type is everyone? The puzzle is solvable.

(In reply to Solution? by Mark Rees)

what you said about bill, that he said he wasn't a knight, isn't possible

saying 'i'm not a knight' is exactly like saying 'i'm a liar' - it could only be said by a knave ( a liar can't say it because it's true and a knight can't say it, obviously)

then the friend would have deduced that bill's a knave right away like he did about aaron

since he didn't, it means bill said something else

what did he say????? i dunno... :(

Posted by talia on 2004-05-09 17:10:00