Professor Smith has been studying the knights, knaves, and liars in their villages, and is currently living among them. You and your guide (who is a knight) approach a fork in the road and see five people standing in a line facing you. Your guide tells you there is one person he knows to be a knight, one person he knows to be a liar, one person he knows to be a knave, one he doesn't know at all, and Professor Smith. They said:
A: I am a knight.
B: I am a knight.
C: I am a knave.
D: I am a knave.
E: I am a knight.
A: E is a knave.
B: A is a knave.
C: D is a liar.
D: C is a knave.
E: B is a knight.
A: D's first statement is a lie.
B: C's first statement is a lie.
C: A's second statement is a lie.
D: B's third statement is true.
E: C's second statement is true.
A: D is Professor Smith.
B: C is not Professor Smith.
C: I am Professor Smith.
D: A is Professor Smith.
E: I am not Professor Smith.
Which one is Professor Smith? Remember: Knights always tell the truth. Liars always lie. Knaves alternate between truths and lies. Professor Smith is one of these three types, but you don't know which.
Professor Smith is D

A is a Knave.
B is a Knight.
C is a Liar.
D is a Knave.
E is a Knave.

A: I am a knight. FALSE
B: I am a knight. TRUE
C: I am a knave. FALSE
D: I am a knave. TRUE
E: I am a knight. FALSE

A: E is a knave. TRUE
B: A is a knave. TRUE
C: D is a liar. FALSE
D: C is a knave. FALSE
E: B is a knight. TRUE

A: D's first statement is a lie. FALSE
B: C's first statement is a lie. TRUE
C: A's second statement is a lie. FALSE
D: B's third statement is true. TRUE
E: C's second statement is true.' FALSE

A: D is Professor Smith. TRUE
B: C is not Professor Smith. TRUE
C: I am Professor Smith. FALSE
D: A is Professor Smith. FALSE
E: I am not Professor Smith. TRUE


Posted by Penny
on 20050713 06:15:09 