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Math / Discrete Mathematics and Its Applications 7 / Chapter 1.2 / Problem 23E

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

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Relate to inhabitants of the island of knights

Chapter 1, Problem 23E

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QUESTION:

Problem 23E

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 arc, can you draw any conclusions?

A says “We are both knaves” and B says nothing.

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QUESTION:

Problem 23E

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 arc, can you draw any conclusions?

A says “We are both knaves” and B says nothing.

ANSWER:

Solution:

Step 1

In this problem we are asked to find the kind of people A and B are.

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