2. Assume that there are three people (A, B, and C) and that there are only two kinds of people: knights, who always tell the truth, and knaves, who always tell lies. I A says: "B is a knave." B says: "A and Care of the same kind." One example of a logically invalid knight-knave setup is when A, B, and C are all knights. Identify all logically valid knight-knave setups for A, B, and C.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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2. Assume that there are three people (A, B, and C) and that there are only two kinds of people:
knights, who always tell the truth, and knaves, who always tell lies.
I
A says: "B is a knave."
B says: "A and Care of the same kind."
One example of a logically invalid knight-knave setup is when A, B, and C are all knights.
Identify all logically valid knight-knave setups for A, B, and C.
Transcribed Image Text:2. Assume that there are three people (A, B, and C) and that there are only two kinds of people: knights, who always tell the truth, and knaves, who always tell lies. I A says: "B is a knave." B says: "A and Care of the same kind." One example of a logically invalid knight-knave setup is when A, B, and C are all knights. Identify all logically valid knight-knave setups for A, B, and C.
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