Deck 4: Categorical Propositions

Question 1

Given the categorical proposition "Some actors are not shy performers." If both the quality and the quantity are changed, the resulting proposition is:

A) Some actors are shy performers.
B) No actors are shy performers.
C) All actors are shy performers.
D) All actors are not shy performers.
E) Some actors are not shy performers.

Answer 1

All actors are shy performers.

Question 2

In each problem below you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement. You must identify the new statement and the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
Some non-A are not B. (T) Subcontrary

A) Some A are B. (T)
B) No non-A are B. (Und.)
C) All non-A are B. (F)
D) Some non-A are B. (Und.)
E) Some non-B are not A. (T)

Answer 2

Some non-A are B. (Und.)

Question 3

In each problem below, you are given a statement, its truth value in parentheses, and a new statement. You must determine how the new statement is related to the given statement and determine the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
Some A are not non-B. (T) Some A are B.

A) Conversion. (Und.)
B) Obversion. (T)
C) Contradiction. (F)
D) Contraposition. (T)
E) Subcontrary. (Und.)

Answer 3

Obversion. (T)

Question 4

Categorical Proposition 1I
Given the categorical proposition:
"Some houseboats that are leaky are not vessels that are safe dwellings."

In Categorical Proposition 1I, the subject term is:

A) Houseboats.
B) Leaky vessels.
C) Vessels that are safe dwellings.
D) Safe dwellings.
E) Houseboats that are leaky vessels.

Question 5

Categorical Proposition 1I
Given the categorical proposition:
"Some houseboats that are leaky are not vessels that are safe dwellings."

In Categorical Proposition 1I, the quantity is:

A) Affirmative.
B) Particular.
C) Universal.
D) Negative.
E) Some.

Question 6

In each problem below you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement. You must identify the new statement and the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
All A are B. (T) Contrary

A) No A are non-B. (T)
B) All B are A. (Und.)
C) Some A are B. (T)
D) No A are B. (Und.)
E) No A are B. (F)

Question 7

Given the categorical proposition "All termites are unwelcome pests." If the quality but not the quantity is changed, the resulting proposition is:

A) No termites are unwelcome pests.
B) All termites are not welcome pests.
C) No termites are welcome pests.
D) All termites are not unwelcome pests.
E) Some termites are unwelcome pests.

Question 8

The categorical proposition "No employers who pay subsistence level wages are facilitators of a healthy society":

A) O-type.
B) U-type.
C) I-type.
D) E-type.
E) A-type.

Question 9

In each problem below you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement. You must identify the new statement and the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
All non-A are B. (F) Subalternation

A) All non-B are A. (F)
B) No non-A are B. (Und.)
C) Some non-A are B. (F)
D) Some non-A are not B. (T)
E) Some non-A are B. (Und.)

Question 10

In each problem below you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement. You must identify the new statement and the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
No non-A are B. (T) Conversion

A) No non-B are A. (Und.)
B) No A are non-B. (T)
C) No B are non-A. (T)
D) All non-A are non-B. (T)
E) All non-A are B. (F)

Question 11

Categorical Proposition 1I
Given the categorical proposition:
"Some houseboats that are leaky are not vessels that are safe dwellings."

In Categorical Proposition 1I, the quality is:

A) Affirmative.
B) Universal.
C) Negative.
D) Not.
E) Particular

Question 12

In each problem below, you are given a statement, its truth value in parentheses, and a new statement. You must determine how the new statement is related to the given statement and determine the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
No non-A are non-B. (F) All non-A are non-B.

A) Contraposition. (Und.)
B) Obversion. (F)
C) Contradiction. (T)
D) Contrary. (Und.)
E) Subcontrary. (T)

Question 13

In each problem below you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement. You must identify the new statement and the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
Some A are non-B. (F) Obversion

A) Some A are not non-B. (T)
B) Some A are not B. (F)
C) Some A are B. (F)
D) No A are B. (F)
E) Some B are non-A. (Und.)

Question 14

In each problem below you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement. You must identify the new statement and the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
Some A are not non-B. (F) Contradiction

A) All A are non-B. (T)
B) Some A are non-B. (T)
C) Some B are not non-A. (F)
D) Some A are non-B. (T).
E) Some A are B. (T)

Question 15

In each problem below you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement. You must identify the new statement and the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
All non-A are B. (T) Contraposition

A) All A are non-B. (T)
B) All B are non-A. (Und.)
C) All non-B are A. (T)
D) All non-B are A. (Und.)
E) All A are non-B. (Und.)

Question 16

In the categorical proposition "Some art works that are not inflammatory are suitable pieces for large museums":

A) The subject term is universal and the predicate term is particular.
B) The subject term is distributed and the predicate term is undistributed.
C) Both the subject term and the predicate term are undistributed.
D) Both the subject term and the predicate term are distributed.
E) The subject term is undistributed and the predicate term is distributed.

Question 17

Categorical Proposition 1I
Given the categorical proposition:
"Some houseboats that are leaky are not vessels that are safe dwellings."

In Categorical Proposition 1I, the quantifier is:

A) Universal.
B) Particular.
C) Are.
D) Some.
E) Are not.

Question 18

Categorical Proposition 1I
Given the categorical proposition:
"Some houseboats that are leaky are not vessels that are safe dwellings."

In Categorical Proposition 1I, the copula is:

A) Are not.
B) Some.
C) Are.
D) Negative.
E) Vessels that are safe dwellings.

Question 19

In each problem below, you are given a statement, its truth value in parentheses, and a new statement. You must determine how the new statement is related to the given statement and determine the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
Some A are B. (F) Some A are not B.

A) Subcontrary. (Und.)
B) Conversion. (F)
C) Contradiction. (T)
D) Conversion. (T)
E) Subcontrary. (T)

Question 20

Given the categorical proposition "Some clowns are unhappy people." If the quantity but not the quality is changed, the resulting proposition is:

A) Some clowns are not unhappy people.
B) All clowns are unhappy people.
C) Some clowns are happy people.
D) All clowns are happy people..
E) Some clowns are happy people..

Question 21

In each problem below, you are given a statement, its truth value in parentheses, and a new statement. You must determine how the new statement is related to the given statement and determine the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
Some A are non-B. (T) Some non-B are A.

A) Conversion. (T)
B) Contrary. (F)
C) Contraposition. (Und.)
D) Subalternation. (Und.)
E) Contradiction. (F)

Question 22

All cable cars are romantic conveyances. Therefore, it is false that no cable cars are romantic conveyances.

A) Invalid, illicit conversion.
B) Invalid, illicit contrary.
C) Valid, no fallacy.
D) Invalid, illicit subcontrary.
E) Invalid, existential fallacy.

Question 23

It is false that some three dollar bills are legitimate currencies. Therefore, some three dollar bills are not legitimate currencies.

A) Invalid, illicit subalternation.
B) Valid, no fallacy.
C) Invalid, illicit subcontrary.
D) Invalid, illicit contrary.
E) Invalid, existential fallacy.

Question 24

In each problem below, you are given a statement, its truth value in parentheses, and a new statement. You must determine how the new statement is related to the given statement and determine the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
All non-A are B. (T) Some non-A are not B.

A) Subalternation. (T)
B) Contraposition. (T)
C) Contradiction. (F)
D) Conversion. (Und.)
E) Contrary. (Und.)

Question 25

Some weekend getaways are not relaxing vacations. Therefore, some weekend getaways are relaxing vacations.

A) Invalid, illicit subalternation.
B) Invalid, illicit subcontrary.
C) Invalid, illicit contrary.
D) Invalid, illicit contraposition.
E) Valid, no fallacy.

Question 26

No expensive menu items are unappetizing meals. Therefore, no appetizing meals are inexpensive menu items.

A) Invalid, illicit contraposition.
B) Valid, no fallacy.
C) Invalid, illicit conversion.
D) Invalid, illicit obversion.
E) Invalid, illicit subalternation.

Question 27

In each problem below, you are given a statement, its truth value in parentheses, and a new statement. You must determine how the new statement is related to the given statement and determine the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
Some non-A are not B. (F) No non-A are B.

A) Contradiction. (T)
B) Subcontrary. (Und.)
C) Subcontrary. (T)
D) Subalternation. (Und.)
E) Subalternation. (F)

Question 28

Some term papers are not literary successes. Therefore, no term papers are literary successes.

A) Invalid, illicit contrary.
B) Invalid, illicit subalternation.
C) Valid, no fallacy
D) Invalid, illicit contraposition.
E) Invalid, existential fallacy.

Question 29

No sand castles are permanent structures. Therefore, some sand castles are not permanent structures.

A) Invalid, illicit subcontrary.
B) Invalid, illicit subalternation.
C) Valid, no fallacy.
D) Invalid, illicit contrary.
E) Invalid, illicit conversion.

Question 30

All tooth fairies are silent visitors. Therefore, no tooth fairies are noisy visitors.

A) Invalid, illicit subalternation.
B) Valid, no fallacy.
C) Invalid, existential fallacy.
D) Invalid, illicit contrary.
E) Invalid, illicit subcontrary.

Question 31

It is false that some sailboats are steamships. Therefore, some sailboats are not steamships.

A) Valid, no fallacy.
B) Invalid, illicit contrary.
C) Invalid, illicit subalternation.
D) Invalid, illicit conversion.
E) Invalid, illicit subcontrary.

Question 32

It is false that no snow storms are exhilarating events. Therefore, all snow storms are exhilarating events.

A) Invalid, illicit contraposition.
B) Invalid, existential fallacy.
C) Invalid, illicit contrary.
D) Invalid, illicit subcontrary.
E) Invalid, illicit subalternation.

Question 33

Some S are not P. (Boolean standpoint) After filling in the Venn diagram,

A) There is an X in Area 1 and in Area 2.
B) Area 1 is shaded, and there are no other marks.
C) Area 1 is shaded, and there is an X in Area 2.
D) Areas 1 and 3 are shaded.
E) There is an X in Area 1, and there are no other marks.

Question 34

In each problem below, you are given a statement, its truth value in parentheses, and a new statement. You must determine how the new statement is related to the given statement and determine the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
Some non-A are non-B. (F) Some B are A.

A) Subcontrary. (T)
B) Conversion. (T)
C) Conversion. (F)
D) Contraposition. (Und.)
E) Contraposition. (F)

Question 35

All S are P. (Aristotelian standpoint) After filling in the Venn diagram,

A) Area 1 is shaded, and there is a circled X in Area 2.
B) Areas 1 and 3 are shaded.
C) There is an X in Area 2, and there are no other marks.
D) Area 3 is shaded, and there is a circled X in Area 2.
E) Area 2 is shaded, and there is a circled X in Area 1.

Question 36

Some crystal vases are not China teapots. Therefore, some China teapots are not crystal vases.

A) Valid, no fallacy.
B) Invalid, illicit contrary.
C) Invalid, illicit contraposition.
D) Invalid, illicit conversion.
E) Invalid, illicit subalternation.

Question 37

No cruise ships are unsightly vessels. Therefore, no unsightly vessels are cruise ships.

A) Invalid, illicit conversion.
B) Valid, no fallacy.
C) Invalid, illicit contrary.
D) Invalid, illicit contraposition.
E) Invalid, illicit subalternation.

Question 38

Some important writers are not unpopular figures. Therefore, some popular figures are not unimportant writers.

A) Invalid, illicit subcontrary.
B) Invalid, illicit conversion.
C) Invalid, illicit contraposition.
D) Invalid, illicit obversion.
E) Valid, no fallacy.

Question 39

It is false that all water sprites are charming nymphs. Therefore, some water sprites are not charming nymphs.

A) Invalid, illicit subalternation.
B) Invalid, illicit subcontrary.
C) Invalid, existential fallacy.
D) Valid, no fallacy.
E) Invalid, illicit contrary.

Question 40

No S are P. (Boolean standpoint) After filling in the Venn diagram,

A) There is an X in Area 2, and there are no other marks.
B) There is an X in Area 1 and an X in Area 3.
C) Area 2 is shaded, and there are no other marks.
D) Areas 1 and 3 are shaded.
E) Area 2 is shaded, and there is an X in Area 1.

Question 41

There is a desk in the office.

A) Some desks are not things in the office.
B) Some desks are in the office.
C) All offices are things that contain a desk.
D) Some desks are things in the office.
E) Some desks are things in the office and some desks are not things in the office.

Question 42

None but geniuses are attending.

A) All geniuses are persons who are attending.
B) All people who are not attending are people who are not geniuses.
C) All persons attending are geniuses.
D) Some geniuses are persons who are attending.
E) No geniuses are people who are not attending.

Question 43

Apples are not sweet unless they are ripe.

A) No apples that are not sweet are ripe apples.
B) All sweet apples are ripe apples.
C) All ripe apples are sweet apples.
D) All sweet apples are ripe apples, and all apples that are not ripe are apples that are not sweet.
E) Some sweet apples are ripe apples.

Question 44

Pansies are flowers.

A) Some pansies are not flowers.
B) All pansies are flowers.
C) Some pansies are flowers.
D) All things that are not pansies are things that are not flowers.
E) All things identical to pansies are things identical to flowers.

Question 45

Given the categorical proposition "Some allergies are not mortal afflictions." If the quality but not the quantity is changed, the resulting proposition is:

A) No allergies are mortal afflictions.
B) No allergies are not mortal afflictions.
C) All allergies are mortal afflictions.
D) Some allergies are mortal afflictions.
E) All allergies are not mortal afflictions.

Question 46

Wherever there is poverty there is crime.

A) All places there is poverty are places there is crime.
B) All places there is no poverty are places there is no crime.
C) All places there is crime are places there is poverty.
D) All times there is poverty are times there is crime.
E) Some places there is poverty are places there is crime.

Question 47

A spoiled brat is obnoxious.

A) All obnoxious brats are spoiled.
B) All obnoxious people are spoiled brats.
C) All spoiled brats are obnoxious.
D) All brats who are not spoiled are people who are not obnoxious.
E) All spoiled brats are obnoxious people.

Question 48

Given the categorical proposition "Some fathers are responsible parents." If both the quality and the quantity are changed, the resulting proposition is:

A) All fathers are responsible parents.
B) Some fathers are irresponsible parents.
C) No fathers are responsible parents.
D) No fathers are not irresponsible parents.
E) Some fathers are not responsible parents.

Question 49

All of the vehicles except the jeeps broke down.

A) Some jeeps are vehicles that broke down and some jeeps are not vehicles that broke down.
B) No jeeps are vehicles that broke down.
C) No jeeps are vehicles that broke down, and all vehicles that are not jeeps are vehicles that broke down.
D) All vehicles that are not jeeps are vehicles that broke down.
E) All vehicles that did not break down are jeeps.

Question 50

Memorial Day never occurs in June.

A) All times that are not June are times Memorial Day occurs.
B) No times Memorial Day occurs are times in June.
C) All times Memorial Day occurs are not times in June.
D) All times in June are not times Memorial Day occurs.
E) No Memorial Days are in June.

Question 51

The categorical proposition "No power plants that are coal burners are facilities that fail to impact the environment":

A) E-type.
B) U-type.
C) I-type.
D) O-type.
E) A-type.

Question 52

In Categorical Proposition 1H, the quality is:

A) Negative.
B) Are.
C) Affirmative.
D) Universal.
E) Particular.

Question 53

In Categorical Proposition 1H, the subject term is:

A) Articles.
B) Urns that are not made of marble.
C) Articles that are currently on sale.
D) Urns.
E) Made of marble.

Question 54

In Categorical Proposition 1H, the copula is:

A) Are not.
B) Made.
C) Are.
D) All.
E) Not.

Question 55

Few capitalists are truly generous.

A) All capitalists are people who are seldom generous.
B) No capitalists are truly generous people.
C) Some capitalists are truly generous people.
D) Some capitalists are truly generous people, and some capitalists are not truly generous people.
E) Some capitalists are not truly generous people.

Question 56

In the categorical proposition "Some body scans that are not invasive are acceptable measures in airports that are not targets of terrorists":

A) The subject term is distributed and the predicate term is undistributed.
B) The subject term is undistributed and the predicate term is distributed.
C) The subject term is universal and the predicate term is particular.
D) Both the subject term and the predicate term are distributed.
E) Both the subject term and the predicate term are undistributed.

Question 57

In Categorical Proposition 1H, the predicate term is:

A) Articles that are currently on sale.
B) Articles.
C) Urns that are not made of marble.
D) Currently on sale.
E) Made of marble.

Question 58

In Categorical Proposition 1H, the quantity is:

A) Particular.
B) Negative.
C) Affirmative.
D) Universal.
E) All.

Question 59

She sings whenever she is happy.

A) All times she sings are times she is happy.
B) Some times she is happy are times she sings.
C) All times she is happy are times she sings.
D) All times she is not happy are times she does not sing.
E) All times she is happy she sings.

Question 60

Given the categorical proposition "All smugglers are shady characters." If the quantity but not the quality is changed, the resulting proposition is:

A) No smugglers are not shady characters.
B) Some smugglers are not shady characters.
C) All smugglers are not shady characters.
D) No smugglers are shady characters.
E) Some smugglers are shady characters.

Question 61

Some non-A are not B. (T) Some non-A are B.

A) Contradiction. (F)
B) Conversion. (Und.)
C) Subcontrary. (Und.)
D) Contraposition. (T)
E) Obversion. (T)

Question 62

All A are non-B. (F) Conversion

A) All B are non-A. (Und.)
B) All non-A are B. (F)
C) All non-B are A. (Und.)
D) No A are B. (F)
E) No A are non-B. (Und.)

Question 63

It is false that some gothic cathedrals are not rich legacies. Therefore, some gothic cathedrals are rich legacies.

A) Invalid, illicit conversion.
B) Invalid, illicit subcontrary.
C) Valid, no fallacy.
D) Invalid, illicit subalternation.
E) Invalid, existential fallacy.

Question 64

All A are non-B. (F) Contrary

A) No A are non-B. (Und.)
B) Some A are not B. (T)
C) No A are non-B. (T)
D) No non-B are A. (F)
E) No A are B. (Und.)

Question 65

No non-A are non-B. (F) No B are A.

A) Contraposition. (Und.)
B) Conversion. (Und.)
C) Conversion. (F)
D) Contrary. (Und.)
E) Contraposition. (F)

Question 66

Some A are non-B. (T) All A are non-B.

A) Subalternation. (T)
B) Subcontrary. (Und.)
C) Contraposition. (Und.)
D) Subalternation. (Und.)
E) Contradictory. (F)

Question 67

No A are non-B. (T) Obversion

A) No non-B are A. (T)
B) No A are B. (F)
C) All non-A are B. (T)
D) All A are B. (T)
E) All non-A are non-B. (F)

Question 68

Some gold watches are retirement gifts. Therefore, it is false that no gold watches are retirement gifts.

A) Invalid, illicit contrary.
B) Valid, no fallacy.
C) Invalid, illicit subcontrary.
D) Invalid, Illicit subalternation.
E) Invalid, illicit conversion.

Question 69

No ballerinas are awkward dancers. Therefore, it is false that all ballerinas are awkward dancers.

A) Invalid, illicit conversion.
B) Invalid, illicit contrary.
C) Invalid, illicit subalternation.
D) Valid, no fallacy.
E) Invalid, existential fallacy.

Question 70

Some flying horses are dependable steeds. Therefore, some dependable steeds are flying horses.

A) Invalid, existential fallacy.
B) Invalid, illicit conversion.
C) Invalid, illicit contrary.
D) Valid, no fallacy.
E) Invalid, illicit obversion.

Question 71

No A are B. (T) Some A are B.

A) Contraposition. (Und.)
B) Subalternation. (T)
C) Conversion. (T)
D) Contrary. (F)
E) Contradiction. (F)

Question 72

Some non-A are not B. (F) Contraposition

A) Some B are not A. (F)
B) Some B are not non-A. (T)
C) Some non-B are non-A. (F)
D) Some A are not non-B. (T)
E) Some non-B are not A. (F)

Question 73

Some friendly gnomes are creatures that live below ground. Therefore, some creatures that live above ground are unfriendly gnomes.

A) Invalid, illicit conversion.
B) Invalid, illicit contraposition.
C) Invalid, existential fallacy.
D) Invalid, illicit subcontrary.
E) Valid, no fallacy.

Question 74

All A are non-B. (F) No A are B.

A) Contrary. (Und.)
B) Obversion. (F)
C) Conversion. (Und.)
D) Subalternation. (T)
E) Contradictory. (T)

Question 75

Some non-A are not B. (F) Subcontrary

A) No non-A are B. (F)
B) Some non-A are B. (T)
C) Some A are B. (T)
D) Some A are B. (Und.)
E) Some non-A are B. (Und.)

Question 76

No A are B. (T) All A are B.

A) Contrary. (F)
B) Contradictory. (F)
C) Obversion. (T)
D) Conversion. (T)
E) Subcontrary. (Und.)

Question 77

Some non-A are B. (F) Contradiction

A) No non-A are B. (T)
B) All non-A are not B. (F)
C) Some non-B are A. (Und.)
D) Some non-A are not B. (F)
E) No A are non-B. (F)

Question 78

No A are non-B. (T) Subalternation

A) Some A are non-B. (Und.)
B) Some A are not non-B. (T)
C) Some A are not B. (T)
D) No non-B are A. (T)
E) Some A are not non-B. (F)

Question 79

It is false that all cowboys are romantic icons. Therefore, no cowboys are romantic icons.

A) Valid, no fallacy.
B) Invalid, illicit subalternation.
C) Invalid, illicit contrary.
D) Invalid, illicit conversion.
E) Invalid, existential fallacy.

Question 80

Some A are non-B. (T) Some non-B are A.

A) Contraposition. (T)
B) Subcontrary. (Und.)
C) Contraposition. (Und.)
D) Obversion. (T)
E) Conversion. (T)