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Syllogistic Form 1H
Given the following syllogistic form:
No M are P.
Some M are not S.
Some S are not P.
1. For Syllogistic Form 1H, after filling in the Venn diagram,
a. Areas 1 and 2 are shaded and there is an X in area 4.
b. Areas 3 and 4 are shaded and there is an X on the line between areas 1 and 2.
c. Areas 3 and 4 are shaded and there is an X in area 1.
d. Areas 2 and 3 are shaded and there is an X on the line between areas 1 and 4.
e. Areas 6 and 7 are shaded and there is an X on the line between areas 1 and 4.
2. For Syllogistic Form 1H, the mood and figure is:
a. EOO-3
b. EOO-2
c. AOO-3
d. AII-4
e. IOO-1
3. For Syllogistic Form 1H, the answer from the Boolean standpoint is:
a. Invalid, illicit minor.
b. Invalid, illicit major.
c. Invalid, existential fallacy.
d. Invalid, exclusive premises.
e. Valid, no fallacy.
Syllogistic Form 2H
Given the following syllogistic form:
No P are M.
All S are M.
Some S are not P.
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4. For Syllogistic Form 2H, after filling in the Venn diagram,
a. Areas 5, 6, and 7 are shaded.
b. Areas 1, 2, 5, and 6 are shaded.
c. Areas 2, 3, and 4 are shaded.
d. Areas 3 and 4 are shaded, and there is an X in area 2.
e. Areas 3, 4, 5, and 6 are shaded.
5. For Syllogistic Form 2H, the mood and figure is:
a. EAI-3
b. AEO-2
c. IAO-2
d. AEO-3
e. EAO-2
6. For Syllogistic Form 2H, the answer from the Boolean standpoint is:
a. Invalid, drawing a negative conclusion from a negative premise.
b. Invalid, existential fallacy.
c. Invalid, illicit major.
d. Invalid, exclusive premises.
e. Valid, no fallacy.
Syllogistic Form 3H
Given the following syllogistic form:
Some P are not M.
Some M are S.
Some S are not P.
7. For Syllogistic Form 3H, after filling in the Venn diagram,
a. There is an X on the line between areas 2 and 5 and between areas 1 and 4.
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b. There is an X in areas 2 and in area 7.
c. There is an X on the line between areas 2 and 3 and between areas 6 and 7.
d. There is an X on the line between areas 1 and 2 and between areas 5 and 6.
e. There is an X on the line between areas 3 and 4 and in area 3.
8. For Syllogistic Form 3H, the mood and figure is:
a. EAE-3
b. IOI-4
c. OAO-1
d. OIO-4
e. AIA-4
9. For Syllogistic Form 3H, the answer from the Boolean standpoint is:
a. Invalid, illicit major.
b. Invalid, drawing a negative conclusion from an affirmative premise.
c. Invalid, illicit minor.
d. Invalid, exclusive premises.
e. Invalid, undistributed middle.
Syllogistic Form 4H
Given the following syllogistic form:
Some M are not P.
All M are S.
Some S are not P.
10. For Syllogistic Form 4H, after filling in the Venn diagram,
a. Areas 1, 2, and 4 are shaded, and there is an X in area 3.
b. Areas 5 and 6 are shaded, and there is an X on the line between areas 2 and 3.
c. Areas 1 and 4 are shaded, and there is an X in area 2.
d. Areas 1 and 4 are shaded, and there is an X in area 3.
e. Areas 6 and 7 are shaded, and there is an X on the line between areas 2 and 3.
11. For Syllogistic Form 4H, the mood and figure is:
a. EAE-2
b. OAO-3
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c. OAO-4
d. IAI-3
e. OEO-4
12. For Syllogistic Form 4H, the answer from the Boolean standpoint is:
a. Valid, no fallacy.
b. Invalid, drawing a negative conclusion from a negative premise.
c. Invalid, exclusive premises.
d. Invalid, illicit major.
e. Invalid, existential fallacy.
Syllogistic Form 5H
Given the following syllogistic form:
All P are M.
All S are M.
All S are P.
13. For Syllogistic Form 5H, after filling in the Venn diagram,
a. Areas 1, 5, and 7 are shaded.
b. Areas 2, 3, and 4 are shaded.
c. Areas 5, 6, and 7 are shaded.
d. There is an X on the line between areas 2 and 3 and between areas 3 and 4.
e. All areas except area 3 are shaded.
14. For Syllogistic Form 5H, the mood and figure is:
a. EEE-3
b. AAA-2
c. III-4
d. OOO-2
e. AAA-3
15. For Syllogistic Form 5H, the answer from the Boolean standpoint is:
a. Valid, no fallacy.
b. Invalid, illicit minor.
c. Invalid, exclusive premises.
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d. Invalid, undistributed middle.
e. Invalid, drawing an affirmative conclusion from universal premises.
Syllogistic Form 6H
Given the following syllogistic form:
All M are P.
No S are M.
All S are P.
16. For Syllogistic Form 6H, after filling in the Venn diagram,
a. Areas 2 and 3 are shaded, and there is an X in area 4.
b. Areas 1, 2, 5, and 6 are shaded.
c. Areas 3, 4, 5, and 6 are shaded.
d. Areas 1, 2, and 3 are shaded.
e. Areas 5 and 6 are shaded, and there is an X on the line between areas 3 and 4.
17. For Syllogistic Form 6H, the mood and figure is:
a. EAE-4
b. EAE-1
c. AEA-1
d. AIA-1
e. EIE-4
18. For Syllogistic Form 6H, the answer from the Boolean standpoint is:
a. Invalid, drawing an affirmative conclusion from a negative premise.
b. Invalid, illicit minor.
c. Invalid, existential fallacy.
d. Invalid, exclusive premises.
e. Invalid, drawing a negative conclusion from affirmative premises.
19. Given the following syllogism:
No tigers are bears.
All unicorns are bears.
Some unicorns are not tigers.
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This syllogism commits the existential fallacy from:
a. The Aristotelian standpoint but not from the Boolean standpoint.
b. Both the Boolean and the Aristotelian standpoints.
c. The Boolean standpoint but not from the Aristotelian standpoint.
d. Neither the Boolean nor the Aristotelian standpoint.
e. The syllogistic standpoint.
20. Given the following syllogistic form:
All M are P.
All M are S.
Some S are P.
This form is:
a. Conditionally valid from the Aristotelian standpoint.
b. Conditionally valid from the Boolean standpoint.
c. Valid from the Aristotelian standpoint.
d. Valid from the Boolean standpoint.
e. Invalid from the Aristotelian standpoint.
Syllogism 1H
Given the following syllogism:
No unsigned paintings are expensive art works, since no signed paintings are framed prints, and all unframed prints are
inexpensive art works.
21. After reducing the number of terms in Syllogism 1H, the conclusion is:
a. All expensive art works are framed prints.
b. All signed paintings are expensive art works.
c. All expensive art works are signed paintings.
d. No signed paintings are framed prints.
e. No unframed prints are expensive art works.
22. For Syllogism 1H, the major premise is:
a. All expensive art works are signed paintings.
b. All signed paintings are unframed prints.
c. All framed prints are expensive art works.
d. No signed paintings are framed prints.
e. All expensive art works are framed prints.
23. For Syllogism 1H, the minor premise is:
a. All signed paintings are unframed prints.
b. No signed paintings are framed prints.
c. All expensive art works are signed paintings.
d. All signed paintings are expensive art works.
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e. All expensive art works are framed prints.
Syllogism 2H
Given the following syllogism:
No happy marriages are planned arrangements, so some unplanned arrangements are fulfilling relationships, because
some unhappy marriages are not unfulfilling relationships.
24. After reducing the number of terms in Syllogism 2H, the conclusion is:
a. No happy marriages are planned arrangements.
b. Some fulfilling relationships are not happy marriages.
c. Some happy marriages are not fulfilling relationships.
d. Some planned arrangements are not fulfilling relationships.
e. Some fulfilling relationships are not planned arrangements.
25. For Syllogism 2H, the major premise is:
a. All happy marriages are unplanned arrangements.
b. Some unhappy marriages are fulfilling relationships.
c. Some fulfilling relationships are not planned arrangements.
d. No happy marriages are planned arrangements.
e. Some happy marriages are fulfilling relationships.
26. For Syllogism 2H, the minor premise is:
a. Some happy marriages are fulfilling relationships.
b. All happy marriages are planned arrangements.
c. Some fulfilling relationships are not happy marriages.
d. Some planned arrangements are not fulfilling relationships.
e. Some fulfilling relationships are not planned arrangements.
Syllogism 3H
Given the following syllogism:
A few snakes have fangs, so there are snakes that are not friendly, for whatever has fangs is unfriendly.
27. After translating Syllogism 3H into standard form, the conclusion is:
a. Some snakes are not friendly animals.
b. No snakes are friendly animals.
c. Some friendly animals are not snakes.
d. Some snakes are friendly animals.
e. No animals with fangs are friendly animals.
28. For Syllogism 3H, the major premise is:
a. No snakes with fangs are friendly animals.
b. All animals with fangs are unfriendly animals.
c. Some snakes are animals with fangs.
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d. Some snakes are not friendly animals.
e. No animals with fangs are friendly animals.
29. For Syllogism 3H, the minor premise is:
a. All animals with fangs are unfriendly animals.
b. Some snakes are animals with fangs.
c. No animals with fangs are friendly animals.
d. Some snakes are not friendly animals.
e. Some snakes are not animals with fangs.
Syllogism 4H
Given the following syllogism:
Trudy must read biographies, because Trudy likes biographies and Trudy reads what she likes.
30. After translating Syllogism 4H into standard form, the conclusion is:
a. All persons identical to Trudy are persons who read what they like.
b. All persons identical to Trudy are persons who read biographies.
c. All books Trudy reads are biographies.
d. Some books Trudy reads are biographies.
e. Some books Trudy likes are biographies.
31. For Syllogism 4H, the major premise is:
a. All books Trudy likes are biographies.
b. Some books Trudy likes are biographies.
c. All persons identical to Trudy are persons who like biographies.
d. All persons who read what they like are persons identical to Trudy.
e. Some books Trudy likes are not biographies.
32. For Syllogism 4H, the minor premise is:
a. All persons identical to Trudy are persons who read what they like.
b. Some books Trudy likes are biographies.
c. All books Trudy likes are books Trudy reads.
d. All books Trudy reads are books Trudy likes.
e. All persons identical to Trudy are persons who read biographies.
33. Given the following enthymeme:
Suzanne must be smart. After all, she earns ‘A’s.
The statement needed to convert the enthymeme into a valid syllogism is:
a. Not all Suzanne’s grades are ‘A’s. (Premise)
b. Suzanne is a smart student. (Conclusion)
c. Every smart student earns ‘A’s. (Premise)
d. Suzanne will graduate with honors. (Conclusion)
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e. Anyone who earns ‘A’s is smart. (Premise)
34. Given the following enthymeme:
Whenever housing prices rise landlords prosper, and housing prices are rising now.
The statement needed to convert the enthymeme into a valid syllogism is:
a. Landlords are prospering now. (Conclusion)
b. All persons who own houses are landlords. (Premise)
c. Landlords prosper when housing prices rise. (Premise)
d. Housing prices rise when interest rates fall. (Premise)
e. All landlords are persons who own houses. (Conclusion)
35. Given the following enthymeme:
Only dentists are invited, and Dr. Klein is not a dentist.
The statement needed to convert the enthymeme into a valid syllogism is:
a. All dentists are persons invited. (Conclusion)
b. Dr. Klein is not invited. (Conclusion)
c. All persons invited are dentists. (Premise)
d. Dr. Klein is invited. (Conclusion)
e. No persons identical to Dr. Klein are dentists. (Conclusion)
Sorites 1H
Given the following sorites:
All R are F.
Some K are N.
No R are A.
No N are F.
Some A are not K.
36. For Sorites 1H, the correct standard form is:
a. Some A are not K.
Some K are N.
No N are F.
All R are F.
No R are A.
b. Some K are N.
No N are F.
No R are A.
All R are F.
Some A are not K.
c. No N are F.
Some K are N.
All R are F.
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No R are A.
Some A are not K.
d. Some K are N.
No N are F.
All R are F.
No R are A.
Some A are not K.
e. Some K are not N.
All N are F.
No R are F.
Some R are not A.
Some A are K.
37. For Sorites 1H, the first intermediate conclusion is:
a. Some K are F.
b. No N are R.
c. Some K are not F.
d. No A are F.
e. Some F are not K.
38. For Sorites 1H, the second intermediate conclusion is:
a. No A are F.
b. No F are N.
c. Some K are R.
d. Some F are not K.
e. Some K are not R.
39. For Sorites 1H, the correct answer is:
a. Valid.
b. Invalid.
c. Sound
d. Cogent
e. Uncogent
40. Given the following sorites:
Some M are R.
All R are H.
All H are D.
No K are D.
Some K are not M.
This sorites is:
a. Invalid because a term is distributed in the conclusion but not in the premise.
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b. Invalid because a universal premise requires a universal conclusion.
c. Invalid because a term is distributed in a premise but not in the conclusion.
d. Valid because a particular premise requires a particular conclusion.
e. Valid because no rules are broken.