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Syllogistic Form 1I
Given the following syllogistic form:
No P are M.
All M are S.
No S are P.
1. For Syllogistic Form 1I, after filling in the Venn diagram,
a. Areas 1, 4, 6 and 7 are shaded.
b. Areas 1, 3, and 4 are shaded.
c. Areas 2, 3, 6, and 7 are shaded.
d. Areas 3 and 4 are shaded, and there is an X in area 2.
e. Areas 1, 2, 6, and 7 are shaded.
2. For Syllogistic Form 1I, the mood and figure is:
a. EAE-4
b. AIA-4
c. IAI-4
d. AEA-1
e. EIE-2
3. For Syllogistic Form 1I, the answer from the Boolean standpoint is:
a. Invalid, existential fallacy.
b. Invalid, exclusive premises.
c. Valid, no fallacy.
d. Invalid, illicit minor.
e. Invalid, drawing a negative conclusion from an affirmative premise.
Syllogistic Form 2I
Given the following syllogistic form:
No P are M.
Some S are M.
Some S are not P.
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4. For Syllogistic Form 2I, after filling in the Venn diagram,
a. Areas 3 and 4 are shaded, and there is an X in area 5.
b. Areas 6 and 7 are shaded, and there is an X on the line between areas 2 and 3.
c. Areas 3, 4, 5, and 6 are shaded.
d. Areas 5 and 6 are shaded, and there is an X on the line between areas 3 and 4.
e. Areas 3 and 4 are shaded, and there is an X in area 2.
5. For Syllogistic Form 2I, the mood and figure is:
a. IEO-2
b. EAO-1
c. EIO-2
d. AIO-1
e. EIO-3
6. For Syllogistic Form 2I, the answer from the Boolean standpoint is:
a. Invalid, existential fallacy.
b. Valid, no fallacy.
c. Invalid, drawing a negative conclusion from a negative premise.
d. Invalid, illicit minor.
e. Invalid, undistributed middle.
Syllogistic Form 3I
Given the following syllogistic form:
Some M are not P.
No S are M.
Some S are not P.
7. For Syllogistic Form 3I, after filling in the Venn diagram,
a. Areas 2 and 3 are shaded, and there is an X on the line between areas 1 and 4.
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b. Areas 5 and 6 are shaded, and there is an X on the line between areas 1 and 2.
c. Areas 2 and 3 are shaded, and there is an X in area 1.
d. Areas 1 and 2 are shaded, and there is an X in area 3.
e. Areas 2 and 3 are shaded, and there is an X on the line between areas 6 and 7.
8. For Syllogistic Form 3I, the mood and figure is:
a. EAE-4
b. IEI-1
c. OEO-3
d. OAO-2
e. OEO-1
9. For Syllogistic Form 3I, the answer from the Boolean standpoint is:
a. Valid, no fallacy.
b. Invalid, illicit major.
c. Invalid, undistributed middle.
d. Invalid, exclusive premises.
e. Invalid, drawing an affirmative conclusion from negative premises.
Syllogistic Form 4I
Given the following syllogistic form:
All M are P.
Some M are S.
Some S are not P.
10. For Syllogistic Form 4I, after filling in the Venn diagram,
a. Areas 1 and 2 are shaded, and there is an X in area 3.
b. Areas 3 and 4 are shaded, and there is an X in area 2.
c. Areas 1 and 2 are shaded, and there is an X on the line between areas 3 and 4.
d. Areas 6 and 7 are shaded, and there is an X on the line between areas 2 and 3.
e. Areas 1 and 4 are shaded, and there is an X on the line between areas 3 and 4.
11. For Syllogistic Form 4I, the mood and figure is:
a. IAO-1
b. EIO-1
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c. AOI-3
d. AIO-2
e. AIO-3
12. For Syllogistic Form 4I, the answer from the Boolean standpoint is:
a. Invalid, drawing an affirmative conclusion from a negative premise.
b. Invalid, illicit major.
c. Valid, no fallacy.
d. Invalid, existential fallacy.
Syllogistic Form 5I
Given the following syllogistic form:
All M are P.
All M are S.
Some S are P.
13. For Syllogistic Form 5I, after filling in the Venn diagram,
a. There is an X on the line between areas 2 and 3 and between areas 3 and 4.
b. Areas 1, 2, and 4 are shaded.
c. Areas 2, 3, and 4 are shaded.
d. Areas 5, 6, and 7 are shaded.
e. Areas 1, 2, 5, and 6 are shaded.
14. For Syllogistic Form 5I, the mood and figure is:
a. EEO-3
b. EEI-2
c. AAI-3
d. AAO-2
e. AAI-2
15. For Syllogistic Form 5I, the answer from the Boolean standpoint is:
a. Invalid, illicit major.
b. Invalid, exclusive premises.
c. Invalid, illicit minor.
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d. Invalid, existential fallacy.
e. Valid, no fallacy.
Syllogistic Form 6I
Given the following syllogistic form:
Some P are M.
Some S are M.
Some S are P.
16. For Syllogistic Form 6I, after filling in the Venn diagram,
a. There is an X on the line between areas 2 and 3 and between areas 3 and 4.
b. There is an X on the line between areas 1 and 2 and between areas 1 and 4.
c. There is an X on the line between areas 2 and 5 and between areas 4 and 7.
d. There is an X in area 2 and in area 4.
e. Areas 2, 3, and 4 are shaded.
17. For Syllogistic Form 6I, the mood and figure is:
a. OOO-2
b. OOO-3
c. AAA-2
d. EEE-2
e. III-2
18. For Syllogistic Form 6I, the answer from the Boolean standpoint is:
a. Invalid, illicit major.
b. Invalid, undistributed middle.
c. Invalid, exclusive premises.
d. Valid, no fallacy.
e. Invalid, existential fallacy.
19. Given the following syllogism:
All jackals are dogs.
No animals are dogs.
Some animals are not jackals.
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This syllogism:
a. Commits the existential fallacy from the Aristotelian standpoint only.
b. Is valid from the Boolean standpoint.
c. Is invalid from both the Boolean and the Aristotelian standpoints.
d. Is valid from the Aristotelian standpoint.
e. Commits the existential fallacy from both standpoints.
20. Given the following syllogism:
No unicorns are lizards.
All unicorns are animals.
Some animals are not lizards.
This syllogism:
a. Is invalid from only the Boolean standpoint.
b. Is invalid from both standpoints.
c. Is invalid from only the Aristotelian standpoint.
d. Is valid from both standpoints.
Syllogism 1I
Given the following syllogism:
No unpopular monarchs are autocrats with vision, so some autocrats without vision are not insane leaders, for some sane
leaders are popular monarchs.
21. After reducing the number of terms in Syllogism 1I, the conclusion is:
a. Some sane leaders are not autocrats with vision.
b. All popular monarchs are autocrats with vision.
c. Some autocrats with vision are not sane leaders.
d. All autocrats with vision are popular monarchs.
e. Some sane leaders are popular monarchs.
22. For Syllogism 1I, the major premise is:
a. No autocrats with vision are unpopular monarchs.
b. Some popular monarchs are not sane leaders.
c. All autocrats with vision are popular monarchs.
d. Some sane leaders are popular monarchs.
e. All popular monarchs are autocrats with vision.
23. For Syllogism 1I, the minor premise is:
a. All autocrats with vision are popular monarchs.
b. Some sane leaders are not popular monarchs.
c. Some sane leaders are not autocrats with vision.
d. Some sane leaders are popular monarchs.
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e. Some autocrats with vision are not sane leaders.
Syllogism 2I
Given the following syllogism:
Some factually incorrect accounts are interesting novels, for some inspired stories are factually correct accounts, and all
boring novels are uninspired stories.
24. After reducing the number of terms in Syllogism 2I, the conclusion is:
a. Some interesting novels are not factually correct accounts.
b. Some inspired stories are not factually correct accounts.
c. All inspired stories are interesting novels.
d. Some factually correct accounts are interesting novels.
e. Some inspired stories are factually correct accounts.
25. For Syllogism 2I, the major premise is:
a. No boring novels are inspired stories.
b. Some inspired stories are factually correct accounts.
c. Some inspired stories are not factually correct accounts.
d. All inspired stories are interesting novels.
e. Some interesting novels are not factually correct accounts.
26. For Syllogism 2I, the minor premise is:
a. Some inspired stories are factually correct accounts.
b. Some interesting novels are factually correct accounts.
c. Some interesting novels are not factually correct accounts.
d. No boring novels are inspired stories.
e. All inspired stories are interesting novels.
Syllogism 3I
Given the following syllogism:
Taffy must not be a dog because Taffy climbs trees and dogs never climb trees.
27. After translating Syllogism 3I into standard form, the conclusion is:
a. All animals identical to Taffy are not dogs.
b. All cats are animals that climb trees.
c. No animals identical to Taffy are dogs.
d. All animals identical to Taffy are animals that climb trees.
e. No dogs are animals that climb trees.
28. For Syllogism 3I, the major premise is:
a. All animals identical to Taffy are animals that climb trees.
b. All animals identical to Taffy are cats.
c. All dogs are not animals that climb trees.
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d. No dogs are animals that climb trees.
e. No animals identical to Taffy are dogs.
29. For Syllogism 3I, the minor premise is:
a. All animals that climb trees are animals identical to Taffy.
b. No animals identical to taffy are animals that do not climb trees.
c. No dogs are animals that climb trees.
d. No animals identical to Taffy are dogs.
Syllogism 4I
Given the following syllogism:
Games are not fun unless they are challenging, so chess is fun, because chess is challenging.
30. After translating Syllogism 4I into standard form, the conclusion is:
a. All challenging games are fun games.
b. All games identical to chess are fun games.
c. All fun games are games identical to chess.
d. All fun games are challenging games.
e. All games identical to chess are challenging games.
31. For Syllogism 4I, the major premise is:
a. All fun games are challenging games.
b. All games identical to chess are challenging games.
c. All challenging games are fun games.
d. All games identical to chess are fun games.
e. All games that are not fun are challenging games.
32. For Syllogism 4I, the conclusion is:
a. All games identical to chess are fun games.
b. All games identical to chess are challenging games.
c. No unchallenging games are games identical to chess.
d. All challenging games are games identical to chess.
e. All fun games are challenging games.
33. Given the following enthymeme:
Cathy is never happy when it rains, so Cathy must not be happy now.
The statement needed to convert the enthymeme into a valid syllogism is:
a. Whenever Cathy is unhappy it rains. (Premise)
b. Whenever it rains it is not sunny. (Conclusion)
c. It is raining now. (Premise)
d. It is not sunny now. (Premise)
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e. Cathy is always happy when it’s sunny. (Conclusion)
34. Given the following enthymeme:
Anyone who smokes is asking for trouble, and Fred smokes two packs per day.
The statement needed to convert the enthymeme into a valid syllogism is:
a. Fred should quit smoking. (Conclusion)
b. Anyone who smokes two packs per day is asking for trouble. (Premise)
c. Fred may get cancer. (Conclusion)
d. All persons identical to Fred are persons who smoke excessively. (Premise)
e. Fred is asking for trouble. (Conclusion)
35. Given the following enthymeme:
The office is closed today, because today is Sunday.
The statement needed to convert the enthymeme into a valid syllogism is:
a. The only day the office is closed is Sunday. (Premise)
b. All days identical to today are days the office is closed. (Premise)
c. The office will be open on Monday. (Conclusion)
d. The office is closed on Sunday. (Premise)
Sorites 1I
Given the following sorites:
Some M are H.
All G are Q.
All S are G.
No H are Q.
Some M are not S.
36. For Sorites 1I, the correct standard form is:
a. Some M are not S.
All S are G.
All G are Q.
No H are Q.
Some M are H.
b. All G are Q.
No H are Q.
Some M are H.
All S are G.
Some M are not S.
c. No H are Q.
All G are Q.
All S are G.
Some M are H.
Some M are not S.
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d. No S are G.
Some G are Q.
All H are Q.
Some M are not H.
Some M are S.
e. All S are G.
All G are Q.
No H are Q.
Some M are H.
Some M are not S.
37. For Sorites 1I, the first intermediate conclusion is:
a. All S are Q.
b. Some M are not G.
c. No G are H.
d. No S are H.
e. Some M are not Q.
38. For Sorites 1I, the second intermediate conclusion is:
a. No G are H.
b. Some M are not Q.
c. No S are H.
d. All S are Q.
e. Some H are not G.
39. For Sorites 1I, the correct answer is:
a. Unsound.
b. Valid.
c. Sound.
d. Cogent.
e. Invalid.
40. Given the following sorites:
No S are A.
All N are A.
All T are N.
Some R are T.
Some R are not S.
This sorites is:
a. Invalid because only one premise is negative.
b. Invalid because one of the middle terms is undistributed.
c. Invalid because a term is distributed in the conclusion but not in the premise.
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d. Valid because no rules are broken.
e. Valid because a negative premise requires a negative conclusion.