Which rule of inference is used in each of the following arguments? Check the co

Question

Which rule of inference is used in each of the following arguments? Check the correct answers. If it snows today, the university will close. The university is not closed today. Therefore, it did not snow today. A. Addition. B. Simplification. C. Hypothetical syllogism. D. Modus tollens. E. Disjunctive syllogism. F. Modus ponens. G. Conjunction. If I go swimming, then I will stay in the sun too long. If I stay in the sun too long, then I will sunburn. Therefore, if I go swimming, then I will sunburn. A. Addition. B. Hypothetical syllogism. C. Conjunction. D. Disjunctive syllogism. E. Simplification. If it is rainy, then the pool will be closed. It is rainy. Therefore, the pool is closed. A. Addition. B. Modus tollens. C. Modus ponens. D. Simplification. E. Hypothetical syllogism. F. Disjunction syllogism. G. Conjunction. It is ether hotter than 100 degrees today or the pollution outside is dangerous, it is less than 100 degrees outside today. Therefore, the pollution is dangerous. A. Simplification. B. Conjunction. C. Hypothetical syllogism. D. Addition. E. Modus tollens. F. Disjunctive syllogism. G. Modus ponens.

Explanation / Answer

1. If it snows today, the university will close. The university is not closed today. Therefore, it did not snow today.

Ans: Option D (Modus tollens)

2. If I go swimming, then I will stay in the sun too long. If I stay in the sun too long, then I will sunburn. Therefore, if I go swimming, then I will sunburn.

Ans: Option B(Hypothetical syllogism)

3. If it is rainy, then the pool will be closed. It is rainy. Therefore, the pool is closed.

Ans: Option C(Modus ponens)

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