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These problems are from a very large set of questions about Liars who always lie about everything, and Knights who always tell the truth. Some questions also involve Knaves - people who strictly alternate between lying and telling the truth. (They are of course all indistinguishable from one another by outward appearance, and you must use logic to determine who's who.)
Difficulty: 3 of 5 Latest: An insane puzzle Rating: 5.00
Sane knights believe true statements and say true statements. Sane liars believe true statements, but say false statements. Insane knights believe false statements and say false statements. Insane liars believe false statements, but say true statements. You meet two people, A and B. Each is either a sane knight, a sane liar, an insane knight, or an insane liar.

A:I believe that B is a knight.
B:A is insane.
A:We are both sane.

What are A and B?

(No Solution Yet, 9 Comments) Submitted on 2023-11-11 by Math Man   
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