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Categorical Proposition 1C
Given the categorical proposition:
“Some corporations that are operating in the United States are not enterprises that are earning a profit.”
1. In Categorical Proposition 1C, the subject term is:
a. Some.
b. Corporations that are operating in the United States.
c. Enterprises.
d. Enterprises that are earning a profit.
e. Corporations.
2. In Categorical Proposition 1C, the predicate term is:
a. Are not.
b. Earning a profit.
c. Corporations that are operating in the United States.
d. Enterprises.
e. Enterprises that are earning a profit.
3. In Categorical Proposition 1C, the quantity is:
a. Affirmative.
b. Universal.
c. Particular.
d. Negative.
e. Some.
4. In Categorical Proposition 1C, the copula is:
a. Are not.
b. Are earning.
c. Are operating.
d. Are.
e. Not.
5. In Categorical Proposition 1C:
a. Both the subject term and the predicate term are distributed.
b. The subject term is distributed and the predicate term is undistributed.
c. The subject term is universal and the predicate term is particular.
d. The subject term is undistributed and the predicate term is distributed.
e. Both the subject term and the predicate term are undistributed.
INSTRUCTIONS: Select the correct answer for each multiple choice question.
6. Which of the following categorical propositions is in standard form?
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a. Not all peace treaties are viable arrangements.
b. Some Persian cats are pure white.
c. No action movies are occasions for relaxation.
d. Few novels are books worth reading.
e. All incompetent administrators will be fired.
7. The categorical proposition “Some debts are causes of insomnia” is an:
a. U-type.
b. I-type.
c. A-type.
d. O-type.
e. E-type.
8. Given the categorical proposition “Some drugs are not effective medicines.” If the quality but not the quantity is
changed, the resulting proposition is:
a. All drugs are not effective medicines.
b. No drugs are not effective medicines.
c. All drugs are effective medicines.
d. No drugs are effective medicines.
e. Some drugs are effective medicines.
9. Given the categorical proposition “All banks are lending institutions.” If the quantity but not the quality is changed, the
resulting proposition is:
a. Some banks are lending institutions.
b. Some banks are not lending institutions.
c. All banks are not lending institutions.
d. No banks are lending institutions.
e. No banks are not lending institutions.
10. Given the categorical proposition “Some franchises are moneymakers.” If both the quality and the quantity are
changed, the resulting proposition is:
a. All franchises are not moneymakers.
b. Some franchises are moneymakers.
c. All franchises are moneymakers.
d. No Franchises are moneymakers.
e. Some franchises are not moneymakers.
INSTRUCTIONS: 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. Adopt the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
11. All A are non–B. (F) Contrary
a. Some A are not B. (T)
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b. No A are non–B. (Und.)
c. No A are non–B. (T)
d. No non-B are A. (F)
e. No A are B. (Und.)
12. 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.)
13. No A are non–B. (T) Obversion
a. All A are B. (T)
b. No A are B. (F)
c. All non-A are B. (T)
d. No non-B are A. (T)
e. All non-A are non–B. (F)
14. No A are non–B. (T) Subalternation
a. No non-B are A. (T)
b. Some A are non-B. (Und.)
c. Some A are not B. (T)
d. Some A are not non-B. (T)
e. Some A are not non-B. (F)
15. Some non-A are B. (F) Contradiction
a. No A are non–B. (F)
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 non-A are B. (T)
16. 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 not A. (F)
d. Some A are not non-B. (T)
e. Some non-B are non–A. (F)
17. Some non-A are not B. (F) Subcontrary
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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.)
INSTRUCTIONS: 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.
18. No non-A are non–B. (F) No B are A.
a. Contraposition. (F)
b. Conversion. (Und.)
c. Conversion. (F)
d. Contrary. (Und.)
e. Contraposition. (Und.)
19. Some non-A are not B. (T) Some non-A are B.
a. Subcontrary. (Und.)
b. Conversion. (Und.)
c. Contradiction. (F)
d. Contraposition. (T)
e. Obversion. (T)
20. All A are non–B. (F) No A are B.
a. Subalternation. (T)
b. Contrary. (Und.)
c. Conversion. (Und.)
d. Obversion. (F)
e. Contradictory. (T)
21. No A are B. (T) Some A are B.
a. Subalternation. (T)
b. Contradiction. (F)
c. Conversion. (T)
d. Contrary. (F)
e. Contraposition. (Und.)
22. No A are B. (T) All A are B.
a. Obversion. (T)
b. Contradictory. (F)
c. Contrary. (F)
d. Conversion. (T)
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e. Subcontrary. (Und.)
23. Some A are non–B. (T) Some non-B are A.
a. Conversion. (T)
b. Subcontrary. (Und.)
c. Contraposition. (Und.)
d. Obversion. (T)
e. Contraposition. (T)
24. 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)
INSTRUCTIONS: Select the answer that best characterizes each immediate inference. Adopt the Aristotelian standpoint
for these problems.
25. No wind farms are pollution generators. Therefore, it is false that all wind farms are pollution generators.
a. Invalid, existential fallacy.
b. Invalid, illicit contrary.
c. Invalid, illicit subalternation.
d. Invalid, illicit conversion.
e. Valid, no fallacy.
26. It is false that some veterinarians are not animal lovers. Therefore, some veterinarians are animal lovers.
a. Invalid, illicit conversion.
b. Invalid, illicit subcontrary.
c. Valid, no fallacy.
d. Invalid, illicit subalternation.
e. Invalid, existential fallacy.
27. Some dark haired pixies are elves that play tricks. Therefore, some elves that do not play tricks are light haired pixies.
a. Invalid, illicit conversion.
b. Invalid, illicit contraposition.
c. Invalid, existential fallacy.
d. Invalid, illicit subcontrary.
e. Valid, no fallacy.
28. Some compact cars are hybrids. Therefore, it is false that no compact cars are hybrids.
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a. Invalid, illicit conversion.
b. Invalid, illicit contrary.
c. Invalid, illicit subcontrary.
d. Invalid, Illicit subalternation.
e. Valid, no fallacy.
29. It is false that all modern sculptures are attention grabbers. Therefore, no modern sculptures are attention grabbers.
a. Invalid, illicit conversion.
b. Invalid, illicit subalternation.
c. Valid, no fallacy.
d. Invalid, illicit contrary.
e. Invalid, existential fallacy.
30. Some lamps containing genies are occasions for surprise. Therefore, some occasions for surprise are lamps containing
genies.
a. Valid, no fallacy.
b. Invalid, illicit conversion.
c. Invalid, illicit contrary.
d. Invalid, existential fallacy.
e. Invalid, illicit obversion.
31. It is false that no underdogs are winners. Therefore, it is false that some underdogs are not winners.
a. Valid, no fallacy.
b. Invalid, illicit contraposition.
c. Invalid, illicit subalternation.
d. Invalid, illicit subcontrary.
e. Invalid, illicit conversion.
32. It is false that some vampires are sun worshippers. Therefore, it is false that all vampires are sun worshippers.
a. Valid, no fallacy.
b. Invalid, illicit subalternation.
c. Invalid, illicit subcontrary.
d. Invalid, existential fallacy.
e. Invalid, illicit conversion.
33. Some fantasy films are enjoyable pastimes. Therefore, some fantasy films are not unenjoyable pastimes.
a. Invalid, illicit subcontrary.
b. Valid, no fallacy.
c. Invalid, illicit subalternation.
d. Invalid, illicit contraposition.
e. Invalid, illicit conversion.
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34. All holiday parades are colorful events. Therefore, some holiday parades are colorful events.
a. Invalid, illicit subcontrary.
b. Invalid, existential fallacy.
c. Invalid, illicit contrary.
d. Invalid, illicit subalternation.
e. Valid, no fallacy.
35. All treasury notes are secure investments. Therefore, all secure investments are treasury notes.
a. Invalid, illicit obversion.
b. Valid, no fallacy.
c. Invalid, illicit contrary.
d. Invalid, illicit conversion.
e. Invalid, existential fallacy.
36. Some guitars are electronic devices. Therefore, some guitars are not electronic devices.
a. Invalid, illicit subcontrary.
b. Invalid, illicit subalternation.
c. Valid, no fallacy.
d. Invalid, illicit contraposition.
e. Invalid, illicit contrary.
37. No flying carpets are dependable vehicles. Therefore, all flying carpets are undependable vehicles.
a. Invalid, illicit subalternation.
b. Invalid, illicit contrary.
c. Valid, no fallacy.
d. Invalid, illicit contraposition.
e. Invalid, existential fallacy.
INSTRUCTIONS: Fill in the Venn diagram for each statement.
38. Some 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. There is an X in Area 2, and there are no other marks.
c. There is a circled X in Area 2 and there are no other marks.
d. Area 2 is shaded, and there is a circled X in Area 1
e. There is an X in Area 1, and there are no other marks.
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39. All S are P. (Aristotelian standpoint)
After filling in the Venn diagram,
a. Area 2 is shaded, and there are no other marks.
b. Area 1 is shaded, and there are no other marks.
c. Area 2 is shaded, and there is a circled X in Area 1.
d. There is an X in Area 2, and there are no other marks.
e. Area 1 is shaded, and there is a circled X in Area 2.
40. No S are P. (Boolean standpoint.)
After filling in the Venn diagram,
a. Area 1 is shaded, and there are no other marks.
b. Area 2 is shaded, and there is an X in Area 1.
c. Area 2 is shaded, and there is a circled X in Area 1.
d. Area 2 is shaded, and there are no other marks.
INSTRUCTIONS: Select the best translation for each categorical proposition.
41. All the desserts except the creampuffs are available.
a. Some creampuffs are available and some creampuffs are not available.
b. No creampuffs are desserts that are available and all desserts that are not creampuffs are desserts that are
available.
c. No creampuffs are desserts that are available.
d. All creampuffs are desserts that are available and no desserts that are not creampuffs are desserts that are
available.
e. All desserts that are not creampuffs are desserts that are available.
42. There is a tavern in the town.
a. Some taverns are not things in the town.
b. Some taverns are things in the town, and some taverns are not things in the town.
c. Some taverns are things in the town.
d. All taverns are things in the town.
e. No taverns are not things in the town.
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43. Gnomes are not humans.
a. No gnomes are humans.
b. All gnomes are not humans.
c. No things identical to a gnome are things identical to a human.
d. All humans are not gnomes.
e. No gnomes are things that are not humans.
44. He shoots anything that moves.
a. Some things he shoots are things that move.
b. All things that move are things he shoots.
c. All things he shoots are things that move.
d. No things that do not move are things he shoots.
e. All things that do not move are things he shoots.
45. A few paintings are not for sale.
a. Some paintings are not for sale.
b. Some paintings are items for sale, and some paintings are not items for sale.
c. Some paintings are items for sale.
d. Some items for sale are not paintings.
e. Some paintings are not items for sale.
46. None but kind people are well intentioned.
a. No kind people are people who are not well intentioned.
b. Some well intentioned people are kind people.
c. All kind people are well intentioned people.
d. All well intentioned people are kind people.
e. Some kind people are not well intentioned people.
47. Not every concert pianist is famous.
a. Some concert pianists are famous people.
b. All concert pianists are not famous people.
c. Some concert pianists are not famous people.
d. Some concert pianists are not famous.
e. Some famous people are not concert pianists.
48. Pamela is not in the room.
a. Some people identical to Pamela are not people in the room.
b. All people identical to Pamela are not people in the room.
c. Some people in the room are not people identical to Pamela.
d. All people in the room are not people identical to Pamela.
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e. No people identical to Pamela are people in the room.
49. The only articles on the shelf are vases.
a. All articles on the shelf are vases.
b. All things identical to vases are articles on the shelf.
c. All vases are articles on the shelf.
d. Some articles on the shelf are vases.
e. No articles not on the shelf are vases.
50. A child peered through the window.
a. Some children peered through the window, and some children did not peer through the window.
b. Some children are people who peered through the window.
c. All children are people who peered through the window.
d. Some children are not people who peered through the window.
e. Some people identical to a child are people who peered through the window.