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For each of the following propositions use a truth table to prove that it is a tautology, contradiction, or a contingency. (a) (p (p q))

For each of the following propositions use a truth table to prove that it is a tautology, contradiction, or a contingency.

(a) (p (p q)) q.

(b) ((p q) r) (p r).

(c) ((p q) r) (p r).

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