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.
Answer this Question
- math - In the land of Oz, people either always speak the truth or lies. A ...
- MATH/LOGIC - You have gotten reservations from Fly By Night Tours to an island ...
- knights-european studies - What were knights social class in medieval times?
- poetry - What's the paraphrasing of "If you can bear to hear the truth you've ...
- Math - There are two kinds of people live in the country of King Arthur: those ...
- Social Studies 8R help!!!! - What were the goals of (a) the Knights of Labor? (b...
- Physics - Two knights on horseback start from rest 88.0 m apart and ride ...
- English 2 - 12. All of the following words describe Sir Lancelot Du Lake except ...
- physics - In a historical movie, two knights on horseback start from rest 93 m ...
- physics - In a historical movie, two knights on horseback start from rest 60 m ...