1. All good teachers come to class on time. Professor Simon always comes to class on time. Therefore, Professor Simon must be a good teacher. Explanation:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine whether the following argument is valid or invalid. If it is
invalid, you must give an example of possibility in which the premises
could be true and the conclusion is false at the same time.
Example: Maria owns an iphone 11.
Rich people own iphone 11.
Therefore, Maria must be rich.
Explanation: Consider all the possibilities. The second premise, "Rich
people own iphone 11," does not exclude the possibility that some
people who are not rich own iphone 11 (i.e., Maria could have a rich
uncle who bought the iphone 11 for her.) If this possibility is true,
then both premises could be true, but the conclusion would be false.
Any argument in which it is possible to have true premises and a false
conclusion at the same time is invalid. Therefore, the argument is
invalid.
Please note (and this is very important!!): In showing how the argument
could be invalid, we did not deny the truth of premise one or two. We do not
show an argument to be invalid by saying one of the premises is false.
1. All good teachers come to class on time.
Professor Simon always comes to class on time.
Therefore, Professor Simon must be a good teacher.
Explanation:
Transcribed Image Text:Determine whether the following argument is valid or invalid. If it is invalid, you must give an example of possibility in which the premises could be true and the conclusion is false at the same time. Example: Maria owns an iphone 11. Rich people own iphone 11. Therefore, Maria must be rich. Explanation: Consider all the possibilities. The second premise, "Rich people own iphone 11," does not exclude the possibility that some people who are not rich own iphone 11 (i.e., Maria could have a rich uncle who bought the iphone 11 for her.) If this possibility is true, then both premises could be true, but the conclusion would be false. Any argument in which it is possible to have true premises and a false conclusion at the same time is invalid. Therefore, the argument is invalid. Please note (and this is very important!!): In showing how the argument could be invalid, we did not deny the truth of premise one or two. We do not show an argument to be invalid by saying one of the premises is false. 1. All good teachers come to class on time. Professor Simon always comes to class on time. Therefore, Professor Simon must be a good teacher. Explanation:
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