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Chapter 1, Level 2 Self-Quiz: F
Quiz Content
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
No animals are plants. Some protozoans are not plants. Therefore, some protozoans are animals.
No A are P. Some R are not P. So some R are A. Let A = cars, P = cats, R = mammals.
correct
incorrect
No A are P. Some R are P. So some R are A. Let A = dogs, P = cats, R = mammals.
correct
incorrect
No A are P. Some R are not P. So some R are A. Let A = dogs, P = cats, R = mammals.
correct
incorrect
No A are P. Some R are P. So some R are A. Let A = cars, P = cats, R = mammals.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
No baseballs are cubes. Some dice are cubes. So no dice are baseballs.
No B are C. Some D are C. So, no D are B. Let B = people, C = cats, and D = pets.
correct
incorrect
No B are C. No D are C. So, no D are B. Let B = beagles, C = collies, and D = dogs.
correct
incorrect
No B are C. Some D are not C. So, no D are B. Let B = people, C = cats, and D = pets.
correct
incorrect
No B are C. Some D are C. So, no D are B. Let B = beagles, C = collies, and D = dogs.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
Some rich people are philanthropists. All philanthropists are kind people. So, some kind people are not rich people.
Some A are B. All C are B. So, some C are not A. Let A = animals, B = cats, and C = dogs.
correct
incorrect
Some A are B. All B are C. So, some C are not A. Let A = animals, B = cats, and C = mammals.
correct
incorrect
Some B are A. All C are B. So, some C are not A. Let A = cats, B = mammals, and C = felines.
correct
incorrect
Some A are B. All B are C. So, some C are not A. Let A = cats, B = tigers, and C = felines.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
All criminals are lawbreakers. Some criminals are not people who get caught. So, some people who get caught are not lawbreakers.
All A are B. Some A are C. So, no C are not B. Let A = dogs, B = animals, and C = beagles.
correct
incorrect
All B are A. Some A are C. So, some C are not B. Let A = animals, B = living things, and C = famous things.
correct
incorrect
All A are B. Some A are not C. So, some C are not B. Let A = dogs, B = animals, and C = beagles.
correct
incorrect
All A are B. Some A are not C. So, some C are not B. Let A = animals, B = living things, and C = famous things.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
All testimony under oath is admissible evidence in court. All matters of public record are admissible evidence in court. Therefore, all testimony under oath are matters of public record.
All A are B. All B are C. So, all A are C. Let A = cats, B = animals, and C = dogs.
correct
incorrect
All A are B. All C are B. So, all A are C. Let A = animals, B = cats, and C = dogs.
correct
incorrect
All A are B. All C are B. So, all C are A. Let A = cats, B = animals, and C = dogs.
correct
incorrect
All A are B. All C are B. So, all A are C. Let A = cats, B = animals, and C = dogs.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
All vegans are people unafraid to stand on principle. All vegans are independent-minded people. It follows that all people unafraid to stand on principle are independent-minded people.
All A are B. All A are C. So, all B are C. Let A = puppies, B = mammals, and C = dogs.
correct
incorrect
All A are B. All A are C. So, all C are A. Let A = puppies, B = dogs, and C = mammals.
correct
incorrect
All A are B. All A are C. So, all B are C. Let A = dogs, B = mammals, and C = puppies.
correct
incorrect
All A are B. All C are A. So, all A are C. Let A = puppies, B = mammals, and C = dogs.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
All miracles are highly improbable events. Some highly improbable events are lottery wins. So, some lottery wins are miracles.
All A are B. Some B are C. So some A are C. Let A = aardvarks, B = bumblebees, and C = cats.
correct
incorrect
All A are B. Some C are B. So some C are A. Let A = aardvarks, B = bumblebees, and C = cats.
correct
incorrect
All A are B. Some B are C. So some C are A. Let A = cats, B = mammals, and C = rodents.
correct
incorrect
All A are B. Some B are C. So some C are A. Let A = cats, B = mammals, C = wild animals.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
All professors are people with advanced degrees. All professors are educators. So, all educators are people with advanced degrees.
All A are B. All C are A. So all C are B. Let A = kittens, B = mammals, and C = cats.
correct
incorrect
All A are B. All A are C. So all C are B. Let A = kittens, B = mammals, and C = cats.
correct
incorrect
All A are B. All A are C. So all B are C. Let A = girls, B = females, and C = conscious beings.
correct
incorrect
All A are B. All A are C. So all C are B. Let A = girls, B = females, and C = mammals.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
All scientists are smart people. Some smart people are not stylish people. So, some scientists are not stylish people.
All A are B. Some C are not B. So, some A are not C. Let A = dogs, B = mammals, and C = poodles.
correct
incorrect
All A are B. Some B are not C. So, some A are not C. Let A = dogs, B = mammals, and C = poodles.
correct
incorrect
All A are B. Some B are not C. So, some C are not A. Let A = beagles, B = animals, and C = dogs.
correct
incorrect
All A are B. Some B are not C. So, some A are not C. Let A = beagles, B = animals, and C = dogs.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
All demonologies are dark arts. Some conjurations are dark arts. So, some conjurations are demonologies.
All A are B. Some C are B. So some C are A. Let A = friendly beings, B = affectionate beings, and C = cats.
correct
incorrect
All A are B. Some C are B. So some C are A. Let A = dogs, B = animals, and C = cats.
correct
incorrect
All A are B. Some B are C. So some C are A. Let A = dogs, B = cats, and C = mammals.
correct
incorrect
All A are B. Some C are B. So some A are C. Let A = scavengers, B = dogs, and C = cats.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
The Honda costs over $20,000. The BMW costs over $50,000. Therefore, the BMW costs more than the Honda.
The Honda costs $24,500. The BMW costs $53,199. So the BMW costs more than the Honda.
correct
incorrect
The Honda costs $61,240. The BMW costs $57,899. So the BMW costs more than the Honda.
correct
incorrect
The Honda costs $47,799. The BMW costs $61,122. So the BMW costs more than the Honda.
correct
incorrect
The Honda costs $32,195. The BMW costs $80,269. So the BMW costs more than the Honda.
correct
incorrect
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Choose which argument form correctly models the given argument, and which substitutions create a counterexample that shows the argument is invalid.
Bill is taller than five feet. Jon is taller than five feet seven inches. Thus, Jon is taller than Bill.
Bill is five feet ten inches tall. Jon is six feet tall. Thus, Jon is taller than Bill.
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incorrect
Bill is five feet nine inches tall. Jon is five feet eight inches tall. Thus, Bill is taller than Jon.
correct
incorrect
Bill is six feet two inches tall. Jon is six feet one inch tall. Thus, Jon is taller than Bill.
correct
incorrect
Bill is six feet one inch tall. Jon is six feet one inch tall. Thus, Bill is taller than Jon.
correct
incorrect
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