Phil201Ex2-Fall07 - Philosophy 201 Elementary Logic Fall...

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page 1 of 3 Philosophy 201 Elementary Logic Fall 2007 Instructor: Harry Silverstein Exam #2 Sentential Logic I. True or False? (2 points each) 1. A disjunction is true if both disjuncts are true, but is false in all other cases. 2. [A“(G∫H)]‡[(R“W)∫Y] is a conjunction whose left conjunct is a disjunction and whose right conjunct is a biconditional. 3. A truth-table to determine whether C˙(S“D) is truth-functionally equivalent to ‘C“(D∫Z) would require 16 rows. 4. If the argument P Q is truth-functionally invalid, then the R truth-functional entailment claim {P, Q}–R is false. 5. The argument "If the Patriots have no injuries to key players, then they will go undefeated. Hence, the Patriots will have no injuries to key players; for they will go undefeated" is an instance of Modus Ponens and is therefore valid. 6. If there is any truth-value assignment on which P and Q are both false, then P“Q is not truth-functionally true. 7. Being a musician is both necessary and sufficient for being a pianist.
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Phil201Ex2-Fall07 - Philosophy 201 Elementary Logic Fall...

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