1 Construct a truth table for the following propositions. Is the proposit a tautology, contingency, or a contradiction? (a) (-q^ (p → q)) → -p. (b) (p → q) ^ (-p→r). Please copy the following table...

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Extracted text: 1 Construct a truth table for the following propositions. Is the proposit a tautology, contingency, or a contradiction? (a) (-q^ (p → q)) → -p. (b) (p → q) ^ (-p→r). Please copy the following table for your sponse. -p (p → q) ^ (-p → r) -p + r 100 1 1 1 1 1 1 1 1 1 1 1 (c) ((p → q) ^ (-r → p)) → (p V q). Please use the same ordering the truth values of (p, q, r) as you did in part (b). On a certain island, each inhabitant either always tells the truth or always tells a lie (but not both). Arnie and Bernie both live on the island. (a) Arnie says, "If I tell the truth, then each person on this island is Is it possible to determine if Arnie is either a truth teller or a liar." a truth teller or a liar? If so, which is he? (b) Arnie says, "If I tell the truth, then so does Bernie. Is Bernie a truth teller? What about Arnie. o lc