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Chapter 04 Test I
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Categorical Proposition 1I
Given the categorical proposition:
“Some houseboats that are leaky are not vessels that are safe dwellings.”
1. 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.
2. In Categorical Proposition 1I, the copula is:
a. Are not.
b. Some.
c. Are.
d. Negative.
e. Vessels that are safe dwellings.
3. In Categorical Proposition 1I, the quantifier is:
a. Universal.
b. Particular.
c. Are.
d. Some.
e. Are not.
4. In Categorical Proposition 1I, the quantity is:
a. Affirmative.
b. Particular.
c. Universal.
d. Negative.
e. Some.
5. In Categorical Proposition 1I, the quality is:
a. Affirmative.
b. Universal.
c. Negative.
d. Not.
e. Particular
INSTRUCTIONS: Select the correct answer for each multiple choice question.
6. In the categorical proposition “Some art works that are not inflammatory are suitable pieces for large museums”:
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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.
7. 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.
8. 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.
9. 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.
10. 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.
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 B. (T) Contrary
a. No A are non–B. (T)
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b. All B are A. (Und.)
c. Some A are B. (T)
d. No A are B. (Und.)
e. No A are B. (F)
12. 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.)
13. 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.)
14. 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)
15. 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)
16. 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.)
17. Some non-A are not B. (T) Subcontrary
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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)
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. Adopt the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
18. 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.)
19. 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)
20. 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)
21. 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)
22. All non-A are B. (T) Some non-A are not B.
a. Subalternation. (T)
b. Contraposition. (T)
c. Contradiction. (F)
d. Conversion. (Und.)
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e. Contrary. (Und.)
23. 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)
24. 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)
INSTRUCTIONS: Select the answer that best characterizes each immediate inference. Adopt the Aristotelian standpoint
for these problems.
25. 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.
26. 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.
27. 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.
28. It is false that some sailboats are steamships. Therefore, some sailboats are not steamships.
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a. Valid, no fallacy.
b. Invalid, illicit contrary.
c. Invalid, illicit subalternation.
d. Invalid, illicit conversion.
e. Invalid, illicit subcontrary.
29. 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.
30. 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.
31. 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.
32. 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.
33. 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.
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34. 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.
35. 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.
36. 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.
37. 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.
INSTRUCTIONS: Fill in the Venn diagram for each statement.
38. 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.
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39. 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.
40. 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.
INSTRUCTIONS: Select the best translation for each categorical proposition.
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.
42. 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.
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43. 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.
44. 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.
45. 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.
46. 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.
47. 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.
48. 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.
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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.
50. 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.