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> If he studies, he gets a good grade. He did not get a good grade. Therefore, he did not study.The above syllogism is

Question

If he studies, he gets a good grade. He did not get a good grade. Therefore, he did not study.The above syllogism is

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Solution

The above syllogism is an example of Modus Tollens. Modus Tollens is a valid form of argument in propositional logic that goes like this: If P, then Q. Not Q. Therefore, not P. In this case, P is "he studies" and Q is "he gets a good grade". The argument states that if he studies (P), then he gets a good grade (Q). He did not get a good grade (not Q). Therefore, he did not study (not P).

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