A community for students.
Here's the question you clicked on:
 0 viewing
obada
 3 years ago
inhabitants of island of knights and knaves , 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 ways described. If you cannot determine what these two people are, can you draw any conclusions?
A says “At least one of us is a knave” and B says nothing.
A says “The two of us are both knights” and B says “A is a knave.”
A says “I am a knave orB is a knight” andB says nothing.
Both A and B say “I am a knight.”
A says “We are both knaves” and B says nothin
obada
 3 years ago
inhabitants of island of knights and knaves , 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 ways described. If you cannot determine what these two people are, can you draw any conclusions? A says “At least one of us is a knave” and B says nothing. A says “The two of us are both knights” and B says “A is a knave.” A says “I am a knave orB is a knight” andB says nothing. Both A and B say “I am a knight.” A says “We are both knaves” and B says nothin

This Question is Closed

obada
 3 years ago
Best ResponseYou've already chosen the best response.0) relate to 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 ways described. If you cannot determine what these two people are, can you draw any conclusions? A says “At least one of us is a knave” and B says nothing. A says “The two of us are both knights” and B says “A is a knave.” A says “I am a knave orB is a knight” andB says nothing. Both A and B say “I am a knight.” A says “We are both knaves” and B says nothing.

Sceptre12
 3 years ago
Best ResponseYou've already chosen the best response.1Okay So case 1 A is a Knight If A is a knight then " At least one of us is a knave" is true and with that statement B would be the kanave however the second statement would contradict the first statement and A would then be lying so he would then be a knave Case 2 A is a knave however since he says that at least one of us are knaves That would be true because statement because he is right at least one of them are knaves however that would be a contradiction because knaves always lie so this is false as well With that said they are nether knaves nor knights because A says he is ether a knave or a knight and in ether case he would be lying or contradicting himself So A and be are nether knights nor knaves

AIK
 3 years ago
Best ResponseYou've already chosen the best response.0A says “The two of us are both knights” and B says “A is a knave.” A is a a knave. Knights can not lie, so why is he saying they are both knights. If B was the knave then why would he say he was a knave.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.