Question 1

Use a counterexample to show that the following argument is invalid. (Remember, it is usually best to use terms—or statements—whose interrelations are well known.) "Some people who endanger the social order are not mean-spirited people. All intolerant people are people who endanger the social order. Hence, some intolerant people are not mean-spirited people."

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Question 2

Use a counterexample to show that the following argument is invalid. (Remember, it is usually best to use terms—or statements—whose interrelations are well known.) "Some pets are collies. Some collies are dogs. So, some pets are dogs."

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Question 3

Use a counterexample to show that the following argument is invalid. (Remember, it is usually best to use terms—or statements—whose interrelations are well known.) "Sue is a physician. So, either Sue is a physician or Sue is a politician, but not both."

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Question 4

Use a counterexample to show that the following argument is invalid. (Remember, it is usually best to use terms—or statements—whose interrelations are well known.) "Churchill was a politician or a painter. Churchill was a politician. So, Churchill was not a painter."

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Question 5

If the following argument is an instance of one of the "famous" argument forms, name the form and indicate whether the form is valid or invalid; if the argument is NOT an instance of one of the "famous" forms, simply write "unnamed form."
If Sam makes it through Shelob's lair, then Frodo will be saved. If Frodo is saved, then Gollum will lose his precious ring. So, if Sam makes it through Shelob's lair, then Gollum will lose his precious ring.

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