1002 Lecture : philosophy note
5 Feb 2013
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Chapter 3 self test: define, truth-functional consistency, truth-functional truth, give the characteristic truth-tables for the following connectives and state the semantic rules in accord with which those tables are produced. P q p & q p v q p q p q. F f: assuming that a" has the truth-value t and b" has the truth-value f, what is the truth-value of each of the following sentences, use the truth-table method to answer the following questions. ~[f & (h j)] (~h v j) ~a (c a) (h v a) c. {(a & b) v ~c, ~b ~c, ~a ~c} Justify your answer: assume that the argument is truth-functionally valid, no matter what sentence p is. Explain: prove that a set, , of sentences of sl truth functionally entails a sentence, p & q of. Sl if and only if it is both the case that truth functionally entails p and the case that truth-functionally entails q.
