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Syllogistic Form 1A
Given the following syllogistic form:
Some M are not P.
No S are M.
Some S are not P.
1. For Syllogistic Form 1A, 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.
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.
2. For Syllogistic Form 1A, the mood and figure is:
a. EAE-4
b. IEI-1
c. OEO-3
d. OAO-2
e. OEO-1
3. For Syllogistic Form 1A, the answer from the Boolean standpoint is:
a. Invalid, exclusive premises.
b. Invalid, illicit major.
c. Invalid, undistributed middle.
d. Valid, no fallacy.
e. Invalid, drawing an affirmative conclusion from negative premises.
Syllogistic Form 2A
Given the following syllogistic form:
All M are P.
All M are S.
Some S are P.
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4. For Syllogistic Form 2A, 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.
5. For Syllogistic Form 2A, the mood and figure is:
a. EEO-3
b. EEI-2
c. AAO-2
d. AAI-3
e. AAI-2
6. For Syllogistic Form 2A, the answer from the Boolean standpoint is:
a. Invalid, existential fallacy.
b. Invalid, exclusive premises.
c. Invalid, illicit minor.
d. Invalid, illicit major.
Syllogistic Form 3A
Given the following syllogistic form:
No P are M.
All M are S.
No S are P.
7. For Syllogistic Form 3A, after filling in the Venn diagram,
a. Areas 1, 4, 6 and 7 are shaded.
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b. Areas 2, 3, 6, and 7 are shaded.
c. Areas 1, 3, and 4 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.
8. For Syllogistic Form 3A, the mood and figure is:
a. EIE-2
b. AIA-4
c. IAI-4
d. AEA-1
e. EAE-4
9. For Syllogistic Form 3A, the answer from the Boolean standpoint is:
a. Invalid, existential fallacy.
b. Invalid, exclusive premises.
c. Valid, no fallacy.
d. Invalid, illicit minor.
Syllogistic Form 4A
Given the following syllogistic form:
Some P are M.
Some S are M.
Some S are P.
10. For Syllogistic Form 4A, after filling in the Venn diagram,
a. There is an X on the line between areas 1 and 2 and between areas 1 and 4.
b. There is an X on the line between areas 2 and 3 and between areas 3 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.
11. For Syllogistic Form 4A, the mood and figure is:
a. OOO-2
b. OOO-3
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c. AAA-2
d. EEE-2
e. III-2
12. For Syllogistic Form 4A, the answer from the Boolean standpoint is:
a. Invalid, undistributed middle.
b. Invalid, illicit major.
c. Invalid, exclusive premises.
d. Valid, no fallacy.
e. Invalid, existential fallacy.
Syllogistic Form 5A
Given the following syllogistic form:
All M are P.
Some M are S.
Some S are not P.
13. For Syllogistic Form 5A, after filling in the Venn diagram,
a. Areas 6 and 7 are shaded, and there is an X on the line between areas 2 and 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 1 and 2 are shaded, and there is an X in area 3.
e. Areas 1 and 4 are shaded, and there is an X on the line between areas 3 and 4.
14. For Syllogistic Form 5A, the mood and figure is:
a. IAO-1
b. EIO-1
c. AIO-3
d. AIO-2
e. AOI-3
15. For Syllogistic Form 5A, the answer from the Boolean standpoint is:
a. Invalid, illicit major.
b. Invalid, drawing an affirmative conclusion from a negative premise.
c. Valid, no fallacy.
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d. Invalid, existential fallacy.
e. Invalid, undistributed middle.
Syllogistic Form 6A
Given the following syllogistic form:
No P are M.
Some S are M.
Some S are not P.
16. For Syllogistic Form 6A, after filling in the Venn diagram,
a. Areas 3 and 4 are shaded, and there is an X in area 5.
b. Areas 3 and 4 are shaded, and there is an X in area 2.
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 6 and 7 are shaded, and there is an X on the line between areas 2 and 3.
17. For Syllogistic Form 6A, the mood and figure is:
a. IEO-2
b. EAO-1
c. EIO-3
d. AIO-1
e. EIO-2
18. For Syllogistic Form 6A, the answer from the Boolean standpoint is:
a. Invalid, existential fallacy.
b. Invalid, illicit minor.
c. Invalid, drawing a negative conclusion from a negative premise.
d. Valid, no fallacy.
e. Invalid, undistributed middle.
19. Given the following syllogism:
All animals are pigs.
No mammals are pigs.
Some mammals are not animals.
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This syllogism:
a. Commits the existential fallacy from the Aristotelian standpoint only.
b. Is valid from the Aristotelian standpoint.
c. Is invalid from both the Boolean and the Aristotelian standpoints.
d. Is valid from the Boolean standpoint.
e. Commits the existential fallacy from both standpoints.
20. Given the following syllogism:
No satyrs are goats.
All satyrs are animals.
Some animals are not goats.
This syllogism:
a. Is invalid from only the Boolean standpoint.
b. Is invalid from only the Aristotelian standpoint.
c. Is invalid from both standpoints.
d. Is valid from both standpoints.
e. Commits the existential fallacy from only the Boolean standpoint.
Syllogism 1A
Given the following syllogism:
No untalented bards are compelling writers, so some uncompelling writers are not uninspired poets, for some inspired
poets are talented bards.
21. After reducing the number of terms in Syllogism 1A, the conclusion is:
a. Some inspired poets are not compelling writers.
b. All talented bards are compelling writers.
c. Some compelling writers are not inspired poets.
d. All compelling writers are talented bards.
e. Some inspired poets are talented bards.
22. For Syllogism 1A, the major premise is:
a. All talented bards are compelling writers.
b. Some talented bards are not inspired poets.
c. No compelling writers are untalented bards.
d. Some inspired poets are talented bards.
e. All compelling writers are talented bards.
23. For Syllogism 1A, the minor premise is:
a. All compelling writers are talented bards.
b. Some inspired poets are talented bards.
c. Some inspired poets are not compelling writers.
d. Some compelling writers are not inspired poets.
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Syllogism 2A
Given the following syllogism:
Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy
meals are unappetizing foods.
24. After reducing the number of terms in Syllogism 2A, the conclusion is:
a. Some healthy meals are not contaminated salads.
b. Some appetizing foods are not contaminated salads.
c. All appetizing foods are healthy meals.
d. Some contaminated salads are healthy meals.
e. Some appetizing foods are contaminated salads.
25. For Syllogism 2A, the major premise is:
a. No unhealthy meals are appetizing foods.
b. Some appetizing foods are not contaminated salads.
c. Some appetizing foods are contaminated salads.
d. All appetizing foods are healthy meals.
e. Some healthy meals are not contaminated salads.
26. For Syllogism 2A, the minor premise is:
a. Some appetizing foods are contaminated salads.
b. Some healthy meals are contaminated salads.
c. Some healthy meals are not contaminated salads.
d. All appetizing foods are healthy meals.
Syllogism 3A
Given the following syllogism:
Jack can’t be a mechanic because every mechanic owns tools, and Jack does not own any tools.
27. After translating Syllogism 3A into standard form, the conclusion is:
a. All people identical to Jack are not mechanics.
b. No people identical to Jack are mechanics.
c. All mechanics are people who own tools.
d. No people identical to Jack are people who own tools.
e. All people identical to Jack are not people who own tools.
28. For Syllogism 3A, the major premise is:
a. No people who own tools are people identical to Jack.
b. No people identical to Jack are mechanics.
c. All people identical to Jack are not people who own tools.
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d. All people who own tools are mechanics.
e. All mechanics are people who own tools.
29. For Syllogism 3A, the minor premise is:
a. All mechanics are people who own tools.
b. No people who own tools are not mechanics.
c. All people who own tools are mechanics.
d. No people identical to Jack are people who own tools.
e. No people identical to Jack are mechanics.
Syllogism 4A
Given the following syllogism:
Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes.
30. After translating Syllogism 4A into standard form, the conclusion is:
a. All movies identical to Dark Interlude are sexy.
b. All movies that are not sexy are movies without nude scenes.
c. All movies identical to Dark Interlude are sexy movies.
d. All sexy movies are movies with nude scenes.
e. All movies identical to Dark Interlude are movies with nude scenes.
31. For Syllogism 4A, the major premise is:
a. All sexy movies are movies with nude scenes.
b. All movies identical to Dark Interlude are movies with nude scenes.
c. All movies with nude scenes are sexy movies.
d. Some sexy movies are movies without nude scenes.
e. All movies identical to Dark Interlude are sexy movies.
32. For Syllogism 4A, the minor premise is:
a. No movies without nude scenes are movies not identical to Dark Interlude.
b. All movies with nude scenes are sexy movies.
c. All sexy movies are movies with nude scenes.
d. All movies identical to Dark Interlude are sexy movies.
e. All movies identical to Dark Interlude are movies with nude scenes.
33. Given the following enthymeme:
Frank always feels terrible when he has a cold, so Frank must feel terrible now.
The statement needed to convert the enthymeme into a valid syllogism is:
a. Anyone feels terrible who has a cold. (Conclusion)
b. Whoever has a cold is not healthy. (Premise)
c. Whenever Frank feels terrible he has a cold. (Premise)
d. Frank has a cold now. (Premise)
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e. Whoever is not healthy feels terrible. (Conclusion)
34. Given the following enthymeme:
Religions are dangerous if they lead to violence, and fundamentalist religions lead to violence.
The statement needed to convert the enthymeme into a valid syllogism is:
a. Fundamentalist religions are dangerous. (Conclusion)
b. Fundamentalist religion has led some followers to commit murder. (Conclusion)
c. Some things that lead to violence are fundamentalist religions. (Premise)
d. Pat Robertson is a fundamentalist Christian. (Premise)
e. All non-fundamentalist religions are things that are not dangerous. (Conclusion)
35. Given the following enthymeme:
The Louvre is in France because it’s in Paris.
The statement needed to convert the enthymeme into a valid syllogism is:
a. The most important museums of France are in Paris. (Conclusion)
b. Whatever is in Paris is in France. (Premise)
c. The Louvre is one of the greatest art museums. (Premise)
d. The Louvre was never located anywhere except Paris. (Premise)
e. Paris is the most important city in France. (Conclusion)
Sorites 1A
Given the following sorites:
Some N are F.
All K are R.
All T are K.
No F are R.
Some N are not T.
36. For Sorites 1A, the correct standard form is:
a. Some N are not T.
All T are K.
All K are R.
No F are R.
Some N are F.
b. All K are R.
No F are R.
Some N are F.
All T are K.
Some N are not T.
c. All T are K.
All K are R.
No F are R.
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Some N are F.
Some N are not T.
d. No T are K.
Some K are R.
All F are R.
Some N are not F.
Some N are T.
e. No F are R.
All K are R.
All T are K.
Some N are F.
Some N are not T.
37. For Sorites 1A, the first intermediate conclusion is:
a. Some N are not K.
b. All T are R.
c. No K are F.
d. No T are F.
e. Some N are not R.
38. For Sorites 1A, the second intermediate conclusion is:
a. No K are F.
b. Some N are not R.
c. Some F are not K.
d. All T are R.
e. No T are F.
39. For Sorites 1A, the correct answer is:
a. Uncogent.
b. Invalid.
c. Cogent.
d. Valid.
e. Strong.
40. Given the following sorites:
All T are D.
No D are R.
All A are R.
Some K are A.
Some K are not T.
This sorites is:
a. Valid because no rules are broken.
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b. Invalid because the subject term of the conclusion is not distributed.
c. Invalid because it has more than two universal premises.
d. Invalid because one of the middle terms is not distributed.
e. Invalid because it draws a negative conclusion from three affirmative premises.