Deck 6: Evaluating Categorical Arguments

Question 1

A few majors are in the army. This is because some privates are in the army, and whoever is a private is a major.

Answer 1

Some privates are people in the army.
All privates are majors.
Some majors are people in the army.
Valid

Question 2

All boa constrictors are poisonous snakes.
No rattlesnakes are boa constrictors.
No rattlesnakes are poisonous snakes.

Answer 2

Invalid

Question 3

If you don't register, then you can't vote.

Answer 3

All people who vote are people who register.

Question 4

All S are M.
No P are M.
All S are P.

Question 5

Not every six-year old knows how to tie his or her shoes.

Question 6

Only staff officers are majors. Consequently, since staff officers are never privates, a few privates aren't majors.

Question 7

All P are M
Some S are M
Some S are P

Question 8

The only path to success is through hard work.

Question 9

Some sports cars are red.

Question 10

Every retail store is a small business. Accordingly, given that all companies are small businesses, retail stores are companies.

Question 11

If you want to be a nursing major, then you must take an anatomy class.

Question 12

Shakira is a singer.

Question 13

Translate each of the following categorical claims into standard form.

-Whenever the phone rings the dog barks.

Question 14

Translate each of the following categorical claims into standard form.

-Wherever you go I will follow.

Question 15

No P are M
All S are M
No S are P

Question 16

Since a few pizzas are Italian foods, and some Italian foods are expensive, a few pizzas are expensive.

Question 17

Not everyone who's tall plays basketball. This is because soccer players are tall, and not every soccer player is a basketball player.

Question 18

Some P are not M
Some S are M
Some S are not P

Question 19

Translate each of the following categorical claims into standard form.

-The bill should be paid by whoever bought the item.

Question 20

Only students are allowed access to the recreation center.

Question 21

School buses are the only vehicles exempt from seatbelt laws. So, a few private vehicles are not exempt from seatbelt laws.

Question 22

Write a Complete Analysis plus Evaluation for each of the following passages

-It's likely that most people in Boise work out with weights at least twice a week. A survey of people leaving Gold's Gym showed that three-quarters of them work out with weights at least twice a week.

Question 23

Write a Complete Analysis plus Evaluation for each of the following passages

-If Taliban fighters really shot down two American jets, then American technology is not as good as we thought it was. Therefore, the Taliban couldn't really have shot down the American jets, given that American technology is as good as we thought it was.

Question 24

Denzel is an Academy Award winner, and all Academy Award winners are comedians.

Question 25

Mark Twain turned to writing as a career because he saw it as a way to make money without having to work very hard. Boy, was he surprised!-C. P. Snyder, The Life of Mark Twain

Question 26

Because Felicia is musical, she will be good at mathematics.

Question 27

It is obvious that Proactiv Solution acne treatment system is the best product on the market for achieving clear, blemish-free skin. After all, Kelly Clarkson, famous singer-songwriter and winner of the 2002 American Idol, says so.

Question 28

Some sweet potatoes are roots since a few sweet potatoes are tubers.

Question 29

Write a Complete Analysis plus Evaluation for each of the following passages

-Since all operas are musical plays, and since there are some musical plays that are not obscene, it follows that no operas are obscene.

Question 30

Educated people have good manners, and no one who has good manners can be selfish.