d) If it snows today, the university will close. The uni- versity is not closed today. Therefore, it did not snow today. e) 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. There- fore, if I go swimming, then I will sunburn.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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part D E 

3. What rule of inference is used in each of these argu-
ments?
a) Alice is a mathematics major. Therefore, Alice is ei-
ther a mathematics major or a computer science ma-
jor.
b) Jerry is a mathematics major and a computer science
major. Therefore, Jerry is a mathematics major.
c) If it is rainy, then the pool will be closed. It is rainy.
Therefore, the pool is closed.
d) If it snows today, the university will close. The uni-
versity is not closed today. Therefore, it did not snow
today.
e) 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. There-
fore, if I go swimming, then I will sunburn.
Transcribed Image Text:3. What rule of inference is used in each of these argu- ments? a) Alice is a mathematics major. Therefore, Alice is ei- ther a mathematics major or a computer science ma- jor. b) Jerry is a mathematics major and a computer science major. Therefore, Jerry is a mathematics major. c) If it is rainy, then the pool will be closed. It is rainy. Therefore, the pool is closed. d) If it snows today, the university will close. The uni- versity is not closed today. Therefore, it did not snow today. e) 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. There- fore, if I go swimming, then I will sunburn.
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