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hw3s - Homework#3 Solutions Philosophy 12A March 8 2010...

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Homework #3 Solutions Philosophy 12A March 8, 2010 Part One 1. A C B C A B C is a valid argument. There are no rows in which all of its premises are true and its conclusion is false: A B C A C B C A B C > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > 2. I N ( K D) N D I I (N K) is an in valid argument. Here’s a row that makes all its premises true and its conclusion false: D I K N I N ( K D) N D I I (N K) > > > > > 3. ( O S) & (O (M & I)) I M S is a valid argument. For the conclusion ‘ S ’ to be false, we require ‘ S ’ to be true. Now, for the first premise of this argument to be true, its first conjunct ‘ O S ’ must be true. Hence, the antecedent ‘ O of this first conjunct must be false (since its consequent ‘ S ’ has already been assumed to be false). So ‘ O ’ must be true. But, if ‘ O
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