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Chapter 04 Test F
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Categorical Proposition 1F
Given the categorical proposition:
“Some ID cards that are not easy documents to duplicate are forgeries that are not readily available on the Internet.”
1. In Categorical Proposition 1F, the predicate term is:
a. ID cards that are easy documents to duplicate.
b. Forgeries that are not readily available on the Internet.
c. Readily available on the Internet.
d. Easy documents to duplicate.
e. Internet.
2. In Categorical Proposition 1F, the quality is:
a. Affirmative.
b. Universal.
c. Are.
d. Negative.
e. Particular.
3. In Categorical Proposition 1F, the copula is:
a. Affirmative.
b. Negative.
c. Some.
d. Are not.
e. Are.
4. In Categorical Proposition 1F, the quantity is:
a. Negative.
b. Affirmative.
c. Particular.
d. Some.
e. Universal.
5. In Categorical Proposition 1F, which terms are distributed?
a. The predicate but not the subject.
b. The subject but not the predicate.
c. Both the quantifier and the copula.
d. Neither the subject nor the predicate.
e. Both the subject and the predicate.
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. Supplying alcohol to minors is a criminal offense.
b. Many technological innovations are not things that improve the quality of life.
c. No consumption taxes are fair to the poor.
d. Some professional sports teams want new stadiums.
e. All tailor made suits are garments guaranteed to fit.
7. The statement “Some glass buildings are structures hazardous to birds” is a(n):
a. I-proposition.
b. O-proposition.
c. P-proposition.
d. E-proposition.
e. A-proposition.
8. Given the categorical proposition “Some police shootings are tragedies that could have been avoided.” If the quality but
not the quantity is changed, the resulting proposition is:
a. Some police shootings are tragedies that could not have been avoided.
b. All police shootings are tragedies that could have been avoided.
c. No police shootings are tragedies that could have been avoided.
d. Some police shootings are not tragedies that could have been avoided.
e. All police shootings are not tragedies that could have been avoided.
9. Given the categorical proposition “Some psychological quirks are not life-threatening maladies.” If both the quality and
the quantity are changed, the resulting proposition is:
a. Some psychological quirks are life-threatening maladies.
b. All psychological quirks are life-threatening maladies.
c. Some life-threatening maladies are not psychological quirks.
d. All psychological quirks are not life-threatening maladies.
e. No psychological quirks are life-threatening maladies.
10. Given the categorical proposition “No optical-scan voting machines are devices vulnerable to hackers.” If the quantity
but not the quality is changed, the resulting proposition is:
a. Some optical-scan voting machines are not devices vulnerable to hackers.
b. No optical-scan voting machines are devices that are not vulnerable to hackers.
c. Some optical-scan voting machines are devices vulnerable to hackers.
d. All optical-scan voting machines are devices vulnerable to hackers.
e. No optical-scan voting machines are devices vulnerable to hackers.
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) Conversion
a. All non-B are A. (F)
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b. All B are non–A. (Und.)
c. All non-B are A. (Und.)
d. No A are non–B. (Und.)
e. All B are non–A. (F)
12. Some non-A are B. (T) Subcontrary
a. All non-A are B. (Und.)
b. Some non-A are not B. (Und.)
c. Some non-A are not B. (F)
d. Some B are non-A. (T)
e. All non-A are B. (T)
13. All non-A are B. (F) Contradictory
a. All non-A are not B. (T)
b. Some A are not B. (T)
c. No non-A are B. (Und.)
d. All non-B are A. (F)
e. Some non-A are not B. (T)
14. Some A are non–B. (F) Subalternation
a. All A are non–B. (Und.)
b. Some non-B are A. (F)
c. Some A are not non-B. (T)
d. All A are non–B. (F)
e. Some A are not non-B. (Und.)
15. No A are non–B. (T) Contraposition
a. All A are non–B. (F)
b. All A are B. (T)
c. No B are non–A. (Und.)
d. No B are non–A. (T)
e. All A are non-B (Und)
16. All A are non–B. (F) Obversion
a. No B are non–A. (Und.)
b. Some A are not non-B. (T)
c. All B are non–A. (F)
d. No A are non–B. (F)
e. No A are B. (F)
17. No non-A are non–B. (T) Contrary
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a. All non-A are non–B. (F)
b. All B are A. (Und.)
c. All non-A are B. (T)
d. Some non-A are non–B. (F)
e. All non-A are non–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. Adopt the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
18. No A are B. (T) Some A are B.
a. Contrary. (F)
b. Contradictory. (F)
c. Conversion. (T)
d. Subcontrary. (Und.)
e. Subalternation. (T)
19. No A are non–B. (F) No non-B are A.
a. Conversion. (F)
b. Contrary. (Und.)
c. Conversion. (Und.)
d. Contraposition. (Und.)
e. Contraposition. (T)
20. Some A are not non-B. (F) Some A are non–B.
a. Contradictory. (T)
b. Contrary. (T)
c. Contrary. (Und.)
d. Subcontrary. (T)
e. Subcontrary. (Und.)
21. All A are B. (F) No A are B.
a. Contrary. (T)
b. Contradictory. (T)
c. Contrary. (Und.)
d. Subcontrary. (T)
e. Subcontrary. (Und.)
22. Some non-A are B. (T) Some non-A are not non–B.
a. Subcontrary. (F)
b. Contraposition. (Und.)
c. Contradictory. (F)
d. Subcontrary. (Und.)
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e. Obversion. (T)
23. No non-A are B. (F) Some non-A are not B.
a. Contradictory. (T)
b. Subalternation. (Und.)
c. Subcontrary. (T)
d. Contrary. (Und.)
e. Conversion. (F)
24. Some non-A are not B. (T) Some non-B are not A.
a. Conversion. (Und.)
b. Contraposition. (Und.)
c. Contraposition. (T)
d. Subcontrary. (F)
e. Subcontrary. (Und.)
INSTRUCTIONS: Select the answer that best characterizes each immediate inference. Adopt the Aristotelian standpoint
for these problems.
25. It is false that some cases of genocide are not attacks on humanity. Therefore, it is false that no cases of genocide are
attacks on humanity.
a. Invalid, illicit contrary.
b. Invalid, illicit subcontrary.
c. Invalid, illicit subalternation.
d. Valid.
e. Invalid, illicit conversion.
26. It is false that no nurses are health care workers. Therefore, all nurses are health care workers.
a. Invalid, illicit contrary.
b. Invalid, illicit subalternation.
c. Invalid, existential fallacy.
d. Valid.
e. Invalid, illicit subcontrary.
27. No uncooked vegetables are healthy vegetables. Therefore, no unhealthy vegetables are cooked vegetables.
a. Invalid, illicit obversion.
b. Valid.
c. Invalid, illicit conversion.
d. Invalid, illicit contrary.
e. Invalid, illicit contraposition.
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28. No headless horsemen are keen sighted riders. Therefore, no keen sighted riders are headless horsemen.
a. Invalid, illicit contrary.
b. Valid.
c. Invalid, illicit conversion.
d. Invalid, illicit contraposition.
e. Invalid, existential fallacy.
29. All proponents of globalization are individuals unconcerned with world poverty. Therefore, all individuals concerned
with world poverty are opponents of globalization.
a. Valid.
b. Invalid, illicit conversion.
c. Invalid, illicit contrary.
d. Invalid, illicit obversion.
e. Invalid, illicit contraposition.
30. Some reclusive gnomes are not playful sprites. Therefore, some playful sprites are not reclusive gnomes.
a. Invalid, existential fallacy.
b. Invalid, illicit subcontrary.
c. Invalid, illicit conversion.
d. Invalid, illicit contraposition.
e. Valid.
31. It is false that some cherry cobblers are desserts that contain anchovies. Therefore, some cherry cobblers are not
desserts that contain anchovies.
a. Invalid, illicit contrary.
b. Invalid, illicit subalternation.
c. Invalid, illicit subcontrary.
d. Valid.
e. Invalid, illicit conversion.
32. No fashion shows are events without models. Therefore, all fashion shows are events with models.
a. Invalid, illicit contraposition.
b. Invalid, illicit obversion.
c. Invalid, existential fallacy.
d. Invalid, illicit contrary.
e. Valid.
33. Some film stars are not Oscar winners. Therefore, some film stars are Oscar winners.
a. Invalid, illicit subalternation.
b. Invalid, illicit subcontrary.
c. Invalid, illicit contradictory.
d. Valid.
e. Invalid, illicit contrary.
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34. No credit card companies are supporters of consumer rights. Therefore, it is false that all credit card companies are
supporters of consumer rights.
a. Invalid, illicit subcontrary.
b. Invalid, illicit contrary.
c. Valid.
d. Invalid, illicit subalternation.
e. Invalid, illicit conversion.
35. It is false that some charming nymphs are not winged fairies. Therefore, some charming nymphs are winged fairies.
a. Invalid, illicit contrary.
b. Invalid, existential fallacy.
c. Invalid, illicit subalternation.
d. Valid.
e. Invalid, illicit subcontrary.
36. Some toxic waste dumps are environmental hazards. Therefore, all toxic waste dumps are environmental hazards.
a. Valid.
b. Invalid, illicit subalternation.
c. Invalid, illicit subcontrary.
d. Invalid, existential fallacy.
e. Invalid, illicit contrary.
37. It is false that no bats are animals that carry rabies. Therefore, some bats are animals that carry rabies.
a. Valid.
b. Invalid, illicit contrary.
c. Invalid, illicit subalternation.
d. Invalid, existential fallacy.
e. Invalid, illicit subcontrary.
INSTRUCTIONS: Fill in the Venn diagram for each statement.
38. Some S are P. (Boolean standpoint)
After filling in the diagram,
a. Area 1 is shaded, and there is an 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.
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d. There is an X in Area 1, and there are no other marks.
e. Area 2 is shaded, and there are no other marks.
39. All S are P. (Aristotelian standpoint)
After filling in the diagram,
a. Area 3 is shaded, and there are no other marks.
b. Areas 1 and 3 are shaded.
c. Area 1 is shaded, and there are no other marks.
d. Area 1 is shaded, and there is a circled X in Area 2.
e. There is a circled X in Area 2, and there are no other marks.
40. No S are P. (Boolean standpoint)
After filling in the diagram,
a. Area 1 is shaded, and there are no other marks.
b. Areas 2 and 3 are shaded.
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.
INSTRUCTIONS: Select the answer that best translates the statement into a standard form categorical proposition.
41. She eats when she’s hungry.
a. Some times she’s hungry are times she eats.
b. Some times she’s hungry are times she does not eat.
c. All times she eats are times she’s hungry.
d. All times she’s hungry are times she eats.
e. No times she’s not hungry are times she eats.
42. Not every student will graduate.
a. Some students will not graduate.
b. All students are not persons who will graduate.
c. Some students are not persons who will graduate.
d. Some persons who will graduate are not students.
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e. Some persons who will not graduate are persons other than students.
43. Canaries are chirping in the aviary.
a. All canaries are birds chirping in the aviary.
b. Some canaries are birds chirping in the aviary.
c. Some birds chirping in the aviary are not canaries.
d. Some canaries are chirping in the aviary.
e. All birds chirping in the aviary are canaries.
44. Novels are not enjoyable unless they are well written.
a. All enjoyable novels are well written novels.
b. Some enjoyable novels are well written novels.
c. All well written novels are enjoyable novels.
d. No novels that are not enjoyable are well written novels.
e. Some novels that are not well written are novels that are not enjoyable.
45. An avocado is not a vegetable.
a. All avocados are not vegetables.
b. No things identical to avocados are things identical to vegetables.
c. No avocados are vegetables.
d. No vegetables are things like avocados.
e. Some avocados are not vegetables.
46. Valentine’s Day is in February.
a. All Valentine’s Days are in February.
b. No days that are not in February are days that are not identical to Valentine’s Day.
c. All days identical to Valentine’s Day are in February.
d. All days identical to Valentine’s Day are days in February.
e. Some days in February are days identical to Valentine’s Day.
47. Only confident people are successful.
a. All successful people are confident people.
b. Some people who are not confident are people who are not successful.
c. Some successful people are confident people.
d. All confident people are successful people.
e. No unsuccessful people are confident people.
48. There are potatoes in the soup.
a. All potatoes are things in the soup.
b. Some potatoes are things in the soup and some things that are not potatoes are things in the soup.
c. Some things in the soup are not potatoes.
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d. All things in the soup are not potatoes.
e. Some potatoes are things in the soup.
49. If it quacks, it’s a duck.
a. All ducks quack.
b. Some animals that are not ducks are animals that do not quack.
c. All ducks are animals that quack.
d. Some ducks are animals that quack.
e. All animals that quack are ducks.
50. A few flights are available.
a. Some flights are available.
b. Some flights are things that are available.
c. Some flights are things that are available and some flights are not things that are available.
d. Some flights are not things that are available.
e. All flights are not available.