21127 Study Guide - Quiz Guide: Koala, Natural Number, Tetromino

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Collaborators: me, myself, and i: the first rule of logic club is . (15 pts) To join logic club, you must decide to always tell the truth or always lie. Members of logic club know who lies and who soothsays. I do not belong to logic club, but i encounter three members of logic club on the street. They make the following statements: jack: all three of us are liars. , tyler: exactly two of us are liars. , chuck: jack and tyler are liars. Explain your answer and how you arrived at your conclusion. Solution: we"ll check each person in turn and make logical deductions. Then his true statements tells us all three of them are liars. In particular, then, jack would be a liar. But we assumed he was telling the truth! Clearly, this doesn"t work, so jack cannot be telling the truth.