BenitezCastro.D.V.6.9.6.11 - Phil 101-11 Diana Benitez...

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Phil 101-11 October 24, 2016 Diana, Benitez Castro Vaughn 6.9.6.11. HAPPY HALLOWEEN! Exercise 6.9 1. If there is no rain, the crops will die. if the crops die, there will be no food for the coming winter. The crops will not die. Therefore, there will be rain soon. Answer: Valid Translation: p → q q → r q p Truth Table: p q r p → q    r  → ∼ q p T T T T F F T T T F T T F T T F T T T T T T F F T T T T F T T T F F F F T F T T F F F F T F T T F F F F F T T F 2. If we give kidnappers the money the they demand, then further kidnappers will be encour- aged. If we do not give kidnappers the money that they demand, the kidnappers will kill the hostages. We will not give kidnappers the money the they demand. Therefore, the kidnappers will kill the hostages. Answer: Valid Translation: p → q p → r p r Truth Table : p q r  q p → r p T T T T T F T
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T T F T T F F T F T F T F T T F F F T F F F T T T T T T F T F T F T F F F T T T T T F F F T F T F 1
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