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Draw Venn diagrams to show that A\\B is not necessarily the same as B\\ A. (Knig

ID: 3030714 • Letter: D

Question

Draw Venn diagrams to show that AB is not necessarily the same as B A. (Knights and knaves). The island of knights and knaves has just two kinds of inhabitants; knights who only make true statements, and knaves who only make false ones. On the island of knights and knaves, you encounter three inhabitants, A, B, and C. A says, "If I'm a knight then at least one of us is a knave." Can we determine the nature of A? (I.e. whether he is a knight or a knave.) Justify your answer either with truth tables, or the rules of logic, or a combination of both.

Explanation / Answer

let us assume that A is knave, then A's statement is false then neither of them is knave. which contradicts his statement ==> A is knave

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