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Silts: TYncknightFIAKIgltdiHerentSilye;Ci kuight. 9ys: nnd huth Kwelt?. Ritz; Ati are both knights noth KuVCi sntc that knave.kuight both kuightsLa'Ciltsuk cii...

Question

Silts: TYncknightFIAKIgltdiHerentSilye;Ci kuight. 9ys: nnd huth Kwelt?. Ritz; Ati are both knights noth KuVCi sntc that knave.kuight both kuightsLa'Ciltsuk ciiu

Silts: TYnc knight FIA KIglt diHerent Silye; Ci kuight. 9ys: nnd huth Kwelt?. Ritz; Ati are both knights noth KuVCi sntc that knave. kuight both kuights La' Cilts uk ciiu



Answers

Exercises 23–27 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?

Both A and B say “I am a knight.”

It's Claire's when you right here. So a says I'm a nave or be it a night So and B says nothing. So if a is a nave than he would be telling the truth, which is not correct. So we know that a is, uh, night and being must also be a night for the statement to be true.

Okay, So, um, from the data provided, um, for condition here, A says, See, is the nave be says a is the night and see says I am the spy. So, um, a logical way to give the solution for this is well, first be cannot be the night. Um, suppose right. That be becomes a night than a will. Also have to be one. However, it is not possible for both of them to be nights. So the next point to be noted here is that c cannot be a night, then his statement will not be true. Therefore, we have that a has to be a night. So a has to be a night. Um And, um, this is a result from his statement see will be a nave. Therefore, by method of elimination, be will be a spy, so right.

It's Claris on name right here. So if a is a night, then he's telling the truth. So being must be in me. But since the peace and nothing, then that is a possibility. But if a is a name, then he's lying. Which means that the statement that at least one of them is a name it's not true. So they both have to be nice. But that is a contradiction. So it can be concluded that a is a night and he is a name. So a night on the E iss a name.

Hey, it's clears when you read here. So we're given that the night. Always try to tell us the truth. And the nave always lies. So any says we're both names and B says nothing. So we're 1st 1 Assume that aids and night that we know that A is gonna speak the truth. So A and B are both needs, but it can't be a knight and a name. So we have a contradiction here. So the initial assumption of a B and night possibly falls. So we know that eight is a name. When since he has a name, then a statement needs to be falls. So he has to be a knight.


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