Determine roles from B's accusation

Q: Determine roles from B's accusation

This question evaluates logical deduction and propositional reasoning skills by requiring inference about truth-tellers and liars within a knights-and-knaves scenario, testing competency in formal logic and discrete mathematics.

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Question

Knights and Knaves: Single Statement Inference

You meet two islanders, A and B. Each person is either a knight (always tells the truth) or a knave (always lies). B says to A: “You always lie.”

Based solely on this statement, which of the following role assignments are logically consistent? Select all that apply and briefly justify your choices.

A is a knave, B is a knight
A is a knight, B is a knave
A is a knave, B is a knave
A is a knight, B is a knight
Not enough information to uniquely determine the roles

Determine roles from B's accusation

Knights and Knaves: Single Statement Inference

Solution

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Determine roles from B's accusation

Overview

Knights and Knaves: Single Statement Inference

Solution

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