Syllogism

 

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syllogism

syllogism

All mammals are animals.
All unicorns are animals.
All unicorns are mammals.

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This syllogism:
Answer

a. Commits the existential fallacy from the Aristotelian standpoint only.

b. Is invalid from both the Boolean and the Aristotelian standpoints.

c. Commits the existential fallacy from both standpoints.

d. Is valid from the Boolean standpoint only.

e. Is valid from both the Boolean and the Aristotelian standpoints.
Question 2

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Given the following syllogism:

All sharks are fish.
All sharks are mammals.
Some mammals are fish.

This syllogism is:
Answer

a. Valid from both the Boolean and the Aristotelian standpoints.

b. Commits the existential fallacy from both standpoints.

c. Conditionally valid from the Boolean standpoint.

d. Valid from the Aristotelian standpoint only.

e. Commits the existential fallacy from the Aristotelian standpoint only.
Question 3
Given the following syllogism:

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All unicorns are horses.
No tigers are horses.
No tigers are unicorns.

This syllogism is:
Answer

a. Valid from the Boolean standpoint only.

b. Valid from both the Boolean and the Aristotelian standpoints.

c. Invalid from both the Boolean and the Aristotelian standpoints.

d. Conditionally valid from the Aristotelian standpoint.

e. Valid from the Aristotelian standpoint only.
Question 4

Given the following syllogism:

No sheep are mammals.
All goats are mammals.
Some goats are not sheep.

This syllogism is:

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Answer

a. Invalid from the Aristotelian standpoint.

b. Valid from the Aristotelian standpoint because goats exist.

c. Valid from the Boolean standpoint.

d. Valid from the Aristotelian standpoint because mammals exist.

e. Valid from the Aristotelian standpoint because sheep exist.
Question 5

Syllogistic Form 1EGiven the following syllogistic form:

No P are M.
Some S are not M.
Some S are not P.

For Syllogistic Form 1E, after filling in the Venn diagram,
Answer

a. Areas 6 and 7 are shaded, and there is an X in area 5.

b. Areas 3 and 4 are shaded, and there is an X in area 5.

c. Areas 1 and 2 are shaded, and there is an X on the line between areas 5 and 6.

d. Areas 3, 4, 5 and 6 are shaded.

e. Areas 3 and 4 are shaded, and there is an X on the line between areas 5 and 6.
Question 6

Syllogistic Form 1EGiven the following syllogistic form:

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No P are M.
Some S are not M.
Some S are not P.

For Syllogistic Form 1E, the mood and figure is:
Answer

a. EOO-4.

b. EOO-3.

c. AOO-4.

d. EII-2.

e. EOO-2.
Question 7

Syllogistic Form 1EGiven the following syllogistic form:

No P are M.
Some S are not M.
Some S are not P.

For Syllogistic Form 1E, the answer from the Boolean standpoint is:
Answer

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a. Invalid, existential fallacy.

b. Valid, no fallacy.

c. Invalid, drawing a negative conclusion from negative premises.

d. Invalid, illicit major.

e. Invalid, exclusive premises.
Question 8

Syllogistic Form 1FGiven the following syllogistic form:

No P are M.
No S are M.
No S are P.

For Syllogistic Form 1F, after filling in the Venn diagram,
Answer

a. Areas 2, 3, and 4 are shaded, and there is an X in area 5.

b. Areas 2, 3, 4, and 6 are shaded.

c. Areas 5, 6, and 7 are shaded, and there is an X in area 2.

d. Areas 5, 6, and 7 are shaded, and there are no other marks.

e. Areas 2, 3, and 4 are shaded, and there are no other marks.
Question 9

Syllogistic Form 1FGiven the following syllogistic form:

No P are M.
No S are M.
No S are P.

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For Syllogistic Form 1F, the mood and figure is:
Answer

a. EEE-2.

b. III-2.

c. EEE-3.

d. III-3.

e. AAA-2.
Question 10

Syllogistic Form 1FGiven the following syllogistic form:

No P are M.
No S are M.
No S are P.

For Syllogistic Form 1F, the answer from the Boolean standpoint is:
Answer

a. Valid, no fallacy.

b. Invalid, exclusive premises.

c. Invalid, illicit minor.

d. Invalid, drawing a negative conclusion from negative premises.

e. Invalid, illicit major.
Question 11

Syllogistic Form 2EGiven the following syllogistic form:

All P are M.
No M are S.
Some S are not P.

For Syllogistic Form 2E, after filling in the Venn diagram,
Answer

a. Areas 2, 3, 6, and 7 are shaded, and there is an X in area 5.

b. Areas 1, 4, 6, and 7 are shaded.

c. Areas 1, 3, and 4 are shaded.

d. Areas 1, 4, 6, and 7 are shaded.

e. Areas 2, 3, 6, and 7 are shaded, and there are no other marks.
Question 12

Syllogistic Form 2EGiven the following syllogistic form:

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All P are M.
No M are S.
Some S are not P.

For Syllogistic Form 2E, the mood and figure is:
Answer

a. AIO-1.

b. AEO-1.

c. AIO-4.

d. AEO-4.

e. EAO-4.
Question 13

Syllogistic Form 2EGiven the following syllogistic form:

All P are M.
No M are S.
Some S are not P.

For Syllogistic Form 2E, the answer from the Boolean standpoint is:
Answer

a. Invalid, existential fallacy.

b. Valid, no fallacy.

c. Invalid, illicit minor.

d. Invalid, exclusive premises.

e. Invalid, undistributed middle.
Question 14

Syllogistic Form 2FGiven the following syllogistic form:

Some P are M.
All M are S.
Some S are P.

For Syllogistic Form 2F, after filling in the Venn diagram,
Answer

a. Areas 1 and 4 are shaded, and there is an X on the line between areas 2 and 3.

b. Areas 1 and 2 are shaded, and there is an X in area 3.

c. Areas 1 and 4 are shaded, and there is an X on the line between areas 3 and 6.

d. Areas 5 and 6 are shaded, and there is an X in area 3.

e. Areas 1 and 4 are shaded, and there is an X in area 3.
Question 15

Syllogistic Form 2FGiven the following syllogistic form:

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Some P are M.
All M are S.
Some S are P.

For Syllogistic Form 2F, the mood and figure is:
Answer

a. OAO-1.

b. OAO-4.

c. IAI-4.

d. IAI-1.

e. EAE-4.
Question 16

Syllogistic Form 2FGiven the following syllogistic form:

Some P are M.
All M are S.
Some S are P.

For Syllogistic Form 2F, the answer from the Boolean standpoint is:
Answer

a. Invalid, existential fallacy.

b. Valid, no fallacy.

c. Invalid, undistributed middle.

d. Invalid, illicit minor.

e. Invalid, illicit major.
Question 17

Syllogistic Form 3EGiven the following syllogistic form:

All M are P.
Some M are not S.
Some S are P.

For Syllogistic Form 3E, after filling in the Venn diagram,
Answer

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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 in area 1.

c. Areas 1 and 2 are shaded, and there is an X on the line between areas 3 and 4.

d. Areas 3 and 4 are shaded, and there is an X in area 2.

e. Areas 1 and 2 are shaded, and there is an X on the line between areas 3 and 6.
Question 18

Syllogistic Form 3EGiven the following syllogistic form:

All M are P.
Some M are not S.
Some S are P.

For Syllogistic Form 3E, the mood and figure is:
Answer

a. AIO-2.

b. AOI-3.

c. AOI-2.

d. AIO-3.

e. AOI-4.
Question 19

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Syllogistic Form 3EGiven the following syllogistic form:

All M are P.
Some M are not S.
Some S are P.

For Syllogistic Form 3E, the answer from the Boolean standpoint is:
Answer

a. Invalid, existential fallacy.

b. Invalid, drawing an affirmative conclusion from a negative premise.

c. Invalid, undistributed middle.

d. Invalid, illicit minor.

e. Valid, no fallacy.
Question 20

Syllogistic Form 3FGiven the following syllogistic form:

Some M are not P.
Some M are S.
Some S are not P.

For Syllogistic Form 3F, after filling in the Venn diagram,
Answer

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a. Areas 1, 2, and 3 are shaded.

b. There is an X on the line between areas 1 and 2 and between areas 2 and 3.

c. There is an X on the line between areas 1 and 2 and between areas 3 and 4.

d. There is an X on the line between areas 1 and 4 and between areas 2 and 3.

e. There is an X in area 1 and an X in area 2.
Question 21

Syllogistic Form 3FGiven the following syllogistic form:

Some M are not P.
Some M are S.
Some S are not P.

For Syllogistic Form 3F, the mood and figure is:
Answer

a. OIO-2.

b. OIO-3.

c. OEO-3.

d. IOI-2.

e. IOI-3.
Question 22

Syllogistic Form 3FGiven the following syllogistic form:

Some M are not P.
Some M are S.
Some S are not P.

For Syllogistic Form 3F, the answer from the Boolean standpoint is:
Answer

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a. Invalid, drawing a negative conclusion from an affirmative premise.

b. Invalid, existential fallacy.

c. Invalid, exclusive premises.

d. Valid, no fallacy.

e. Invalid, undistributed middle.
Question 23

Syllogistic Form 4EGiven the following syllogistic form:

All P are M.
No S are M.
No S are P.

For Syllogistic Form 4E, after filling in the Venn diagram,
Answer

a. Areas 2, 3, 6, and 7 are shaded, and there is an X in area 5.

b. Areas 2, 3, 6, and 7 are shaded, and there are no other marks.

c. Areas 3, 4, 6, and 6 are shaded, and there are no other marks.

d. Areas 3, 4, 5, and 6 are shaded, and there is an X in area 7.

e. Areas 2, 3, 4, and 7 are shaded.
Question 24

Syllogistic Form 4EGiven the following syllogistic form:

All P are M.
No S are M.
No S are P.

For Syllogistic Form 4E, the mood and figure is:
Answer

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a. AII-2.

b. EII-2.

c. AEE-2.

d. EAA-3.

e. AEE-3.
Question 25

Syllogistic Form 4EGiven the following syllogistic form:

All P are M.
No S are M.
No S are P.

For Syllogistic Form 4E, the answer from the Boolean standpoint is:
Answer

a. Invalid, illicit minor.

b. Invalid, illicit major.

c. Invalid, drawing a negative conclusion from a negative premise.

d. Valid, no fallacy.

e. Invalid, undistributed middle.
Question 26

Syllogistic Form 4FGiven the following syllogistic form:

Some P are not M.
All M are S.
Some S are not P.

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For Syllogistic Form 4F, after filling in the Venn diagram,
Answer

a. Areas 1 and 4 are shaded, and there is an X on the line between areas 3 and 6.

b. Areas 1 and 4 are shaded, and there is an X on the line between areas 6 and 7.

c. Areas 5 and 6 are shaded, and there is an X in area 7.

d. Areas 2 and 3 are shaded, and there is an X on the line between areas 6 and 7.

e. There is an X on the line between areas 2 and 5 and between areas 6 and 7.
Question 27

Syllogistic Form 4FGiven the following syllogistic form:

Some P are not M.
All M are S.
Some S are not P.

For Syllogistic Form 4F, the mood and figure is:
Answer

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a. OAO-1.

b. EAO-4.

c. OEO-4.

d. OAO-4.

e. IAI-1.
Question 28
Syllogistic Form 4FGiven the following syllogistic form:

Some P are not M.
All M are S.
Some S are not P.

For Syllogistic Form 4F, the answer from the Boolean standpoint is:
Answer

a. Valid, no fallacy.

b. Invalid, illicit major.

c. Invalid, drawing a negative conclusion from an affirmative premise.

d. Invalid, undistributed middle.

e. Invalid, illicit minor.
Question 29

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Syllogistic Form 5EGiven the following syllogistic form:

All P are M.
Some M are S.
Some S are P.

For Syllogistic Form 5E, after filling in the Venn diagram,
Answer

a. Areas 6 and 7 are shaded, and there is an X in area 3.

b. Areas 6 and 7 are shaded, and there is an X in area 2.

c. Areas 6 and 7 are shaded, and there is an X on the line between areas 2 and 3.

d. Areas 3 and 4 are shaded, and there is an X in area 2.

e. Areas 1 and 2 are shaded, and there is an X in area 3.
Question 30

Syllogistic Form 5EGiven the following syllogistic form:

All P are M.
Some M are S.
Some S are P.

For Syllogistic Form 5E, the mood and figure is:
Answer

a. AII-4.

b. AII-2.

c. AII-1.

d. AOO-4.

e. AOO-1.
Question 31

Syllogistic Form 5EGiven the following syllogistic form:

All P are M.
Some M are S.
Some S are P.

For Syllogistic Form 5E, the answer from the Boolean standpoint is:
Answer

a. Invalid, undistributed middle.

b. Invalid, drawing a negative conclusion from affirmative premises.

c. Invalid, existential fallacy.

d. Invalid, exclusive premises.

e. Valid, no fallacy.
Question 32

Syllogistic Form 5FGiven the following syllogistic form:

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All P are M.
No S areM.Some S are not P.

For Syllogistic Form 5F, after filling in the Venn diagram,
Answer

a. Areas 1, 2, and 3 are shaded, and there is an X in area 4.

b. Areas 1, 2, and 3 are shaded, and there is an X in area 5.

c. Areas 3, 4, 5, and 6 are shaded.

d. Areas 2, 3, 6, and 7 are shaded, and there is an X in area 5.

e. Areas 2, 3, 6, and 7 are shaded, and there are no other marks.
Question 33

Syllogistic Form 5FGiven the following syllogistic form:

All P are M.
No S are M.
Some S are not P.

For Syllogistic Form 5F, the mood and figure is:
Answer

a. AEO-3.

b. AIO-2.

c. EAO-2.

d. AEO-2.

e. EAO-3.
Question 34

Syllogistic Form 5FGiven the following syllogistic form:

All P are M.
No S are M.
Some S are not P.

For Syllogistic Form 5F, the answer from the Boolean standpoint is:
Answer

a. Invalid, existential fallacy.

b. Invalid, exclusive premises.

c. Invalid, illicit major.

d. Invalid, undistributed middle.

e. Valid, no fallacy.
Question 35

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Syllogistic Form 6EGiven the following syllogistic form:

Some M are P.
Some S are not M.
Some S are not P.

For Syllogistic Form 6E, after filling in the Venn diagram,
Answer

a. There is an X on the line between areas 3 and 4 and between areas 5 and 6.

b. There is an X on the line between areas 1 and 2 and between areas 5 and 6.

c. Areas 3, 4, 5, and 6 are shaded.

d. There is an X on the line between areas 2 and 3 and between areas 3 and 4.

e. There is an X in area 4 and in area 5.
Question 36

Syllogistic Form 6EGiven the following syllogistic form:

Some M are P.
Some S are not M.
Some S are not P.

For Syllogistic Form 6E, the mood and figure is:
Answer

a. IOO-4.

b. OII-1.

c. EOO-1.

d. IOO-1.

e. OII-4.
Question 37

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Syllogistic Form 6EGiven the following syllogistic form:

Some M are P.
Some S are not M.
Some S are not P.

For Syllogistic Form 6E, the answer from the Boolean standpoint is:
Answer

a. Invalid, illicit minor.

b. Invalid, undistributed middle.

c. Valid, no fallacy.

d. Invalid, exclusive premises.

e. Invalid, illicit major.
Question 38

Syllogistic Form 6FGiven the following syllogistic form:

All M are P.
No S are M.
All S are P.

For Syllogistic Form 6F, after filling in the Venn diagram,
Answer

a. Areas 1, 2, and 3 are shaded, and there is an X in area 4.

b. Areas 2, 3, 6, and 7 are shaded.

c. Areas 1, 4, 6, and 7 are shaded, and there is an X in area 3.

d. Areas 1, 2, and 3 are shaded, and there are no other marks.

e. Areas 1, 4, 6, and 7 are shaded, and there are no other marks.
Question 39

Syllogistic Form 6FGiven the following syllogistic form:

All M are P.
No S are M.
All S are P.

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For Syllogistic Form 6F, the mood and figure is:
Answer

a. AIA-1.

b. EAE-4.

c. AEA-1.

d. AEA-4.

e. EAE-1.
Question 40

Syllogistic Form 6FGiven the following syllogistic form:

All M are P.
No S are M.
All S are P.

For Syllogistic Form 6F, the answer from the Boolean standpoint is:
Answer

a. Invalid, illicit major.

b. Invalid, drawing an affirmative conclusion from a negative premise.

c. Invalid, exclusive premises.

d. Invalid, existential fallacy.

e. Valid, no fallacy

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