# Exercise 7 - Ssh - Dogukan.docx - 1 Use the truth table...

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1. Use the truth table method to show that the following pairs of propositions are logically equivalent: a) –Q P,P Q Q P -Q –Q P P Q T T F T T T F T F T F T F T T F F T T F Q P - Q b) –(P Q),−P·−Q P Q -Q -P – (P Q) −P · −Q T T F F T T T F T T T F F T F F T F F F T T F F P
Q P - P P -P -Q T T F T F F F T F F T F F T F T F T T F F F F T F T T T - Calcuate – by doing oppostive of horshoe - 2 nd –P it opposite of P - And symbol getting that by getting –P and –Q putting it together 2. Test the following argument for validity using the truth table method: a) If we give kidnappers the money they demand, then further kidnappings will be encouraged. If we do not give kidnappers the money that they demand, the kidnappers will kill the hostages. We will not give kidnappers the money they demand. Therefore, the kidnappers will kill the hostages. 1. If we give kidnappers the money they demand (M) 2. Further kidnappings will be encouraged (E) he used F - - If then 1. If we do not give kidnappers the money that they demand (-M)