Unformatted text preview: T T * * * * 25 The conclusion is logically equivalent to r + p, so this is the same as Exercise 5(g), hence not valid. p: (j) Let p, q, and r be the statements q: r: The given argument is p+q ...,q pVr . r I like mathematics I study I like football. The first two premises give ...,p by modus tollens, so, since p V r is true, the conclusion follows by disjunctive syllogism. p: (k) Let p, q, and r be the statements q: r: qVr The given argument is r + p (...,q) + p qVr I like mathematics I study I like football. This is the same as ( ...,r) V p and hence valid by resolution. qVp...
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 Summer '10
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 Logic, Graph Theory, Modus tollens, high taxes, p~q q~r r~p, truth table shows

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