Consider the following two propositions: 1. If today is Friday, then I am happy. 2. Either today is not Friday or I am happy. According to which rule of inference are these two propositions logically equivalent? DeMorgan's Law Material Implication Disjunctive Syllogism Modus Ponens
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Step 1: The first proposition can be represented as "If p, then q" where p = today is Friday and q = I am happy. Show more…
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One of the rules of inference is Disjunctive syllogism : Prove that Disjunctive syllogism is valid using the laws of propositional logic and any of the other rules of inference besides Disjunctive syllogism: (Hint: you will need one of the conditional identities from the laws of propositional logic):
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