# Logic

January 27, 2016

Logic
Question 1

The major term is:

Spiders

Horses

Mammals
Question 2

All horses are mammals. No spiders are mammals. Some spiders are not horses.

The major premise is:

All horses are mammals.

No spiders are mammals.

Some spiders are not horses.
Question 3

All horses are mammals. No spiders are mammals. Some spiders are not horses.

The minor premise is:

All horses are mammals.

No spiders are mammals.

Some spiders are not horses.
Question 4

All horses are mammals. No spiders are mammals. Some spiders are not horses.

The middle term is:

Spiders

Horses

Mammals
Question 5

All horses are mammals. No spiders are mammals. Some spiders are not horses.

The minor term is:

Spiders

Horses

Mammals
Question 6

Syllogistic Form 1DGiven the following syllogistic form:

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

For Syllogistic Form 1D, the mood and figure is:

a. AOA-3.

b. AEA-2.

c. AIA-2.

d. EAE-2.

e. AEA-3.
Question 7

Syllogistic Form 2DGiven the following syllogistic form:

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

For Syllogistic Form 2D, the mood and figure is:

a. IOI-4.

b. OIO-1.

c. IOI-1.

d. OIO-4.

e. OEO-1.
Question 8

Syllogistic Form 3DGiven the following syllogistic form:

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

For Syllogistic Form 3D, the mood and figure is:

a. AEE-3.

b. AOO-4.

c. AII-3.

d. AII-4.

e. AII-2.
Question 9

Syllogistic Form 4DGiven the following syllogistic form:

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

For Syllogistic Form 4D, the mood and figure is:

a. AII-2.

b. AEE-3.

c. AOO-3.

d. AEE-2.

e. EAA-3.
PART 2

Question 1

Syllogistic Form 1IGiven the following syllogistic form:

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

For Syllogistic Form 1I, after filling in the Venn diagram,

a. Areas 1, 2, 6, and 7 are shaded.

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

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

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

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

Syllogistic Form 2IGiven the following syllogistic form:

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

For Syllogistic Form 2I, after filling in the Venn diagram,

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

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

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

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

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

Syllogistic Form 3IGiven the following syllogistic form:

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

For Syllogistic Form 3I, after filling in the Venn diagram,

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

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

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

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

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

Syllogistic Form 4IGiven the following syllogistic form:

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

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

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

e. Areas 1 and 4 are shaded, and there is an X on the line between areas 3 and 4.
Question 5

Syllogistic Form 5IGiven the following syllogistic form:

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

For Syllogistic Form 5I, after filling in the Venn diagram,

a. Areas 5, 6, and 7 are shaded.

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

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

d. Areas 1, 2, 5, and 6 are shaded.

e. Areas 1, 2, and 4 are shaded.
Question 6
1.
Syllogistic Form 6IGiven the following syllogistic form:

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

For Syllogistic Form 6I, after filling in the Venn diagram,

a. There is an X on the line between areas 2 and 5 and between areas 4 and 7.

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 3 and between areas 3 and 4.

d. Areas 2, 3, and 4 are shaded.

e. There is an X in area 2 and in area 4.
Question 7

Syllogistic Form 2HGiven the following syllogistic form:

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

For Syllogistic Form 2H, after filling in the Venn diagram,

a. Areas 5, 6, and 7 are shaded.

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

c. Areas 2, 3, and 4 are shaded.

d. Areas 1, 2, 5, and 6 are shaded.

e. Areas 3 and 4 are shaded, and there is an X in area 2.
5 points
Question 8
1.
Syllogistic Form 3HGiven the following syllogistic form:

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

For Syllogistic Form 3H, after filling in the Venn diagram,

a. There is an X on the line between areas 3 and 4 and in area 3.

b. There is an X on the line between areas 2 and 5 and between areas 1 and 4.

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 in areas 2 and in area 7.
Question 9

Syllogistic Form 4HGiven the following syllogistic form:

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

For Syllogistic Form 4H, 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 1, 2, and 4 are shaded, and there is an X in area 3.

c. Areas 5 and 6 are shaded, and there is an X on the line between areas 2 and 3.

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

e. Areas 1 and 4 are shaded, and there is an X in area 2.
Question 10

Syllogistic Form 5HGiven the following syllogistic form:

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

For Syllogistic Form 5H, after filling in the Venn diagram,

a. Areas 5, 6, and 7 are shaded.

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

c. Areas 2, 3, and 4 are shaded.

d. All areas except area 3 are shaded.

e. Areas 1, 5, and 7 are shaded.

PART 3

Question 1

Syllogistic Form 1H
Given the following syllogistic form:

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

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

a. Invalid, exclusive premises.

b. Invalid, illicit major.

c. Invalid, existential fallacy.

d. Invalid, illicit minor.

e. Valid, no fallacy.
Question 2

Syllogistic Form 1I
Given the following syllogistic form:

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

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

a. Invalid, existential fallacy.

b. Invalid, exclusive premises.

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

d. Valid, no fallacy.

e. Invalid, illicit minor.
Question 3

Syllogistic Form 2H
Given the following syllogistic form:

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

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

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

b. Invalid, illicit major.

c. Invalid, existential fallacy.

d. Valid, no fallacy.

e. Invalid, exclusive premises.
Question 4

Syllogistic Form 3H
Given the following syllogistic form:

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

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

a. Invalid, illicit major.

b. Invalid, undistributed middle.

c. Invalid, illicit minor.

d. Invalid, exclusive premises.

e. Invalid, drawing a negative conclusion from an affirmative premise.
Question 5

Syllogistic Form 3I
Given the following syllogistic form:

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

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

a. Invalid, undistributed middle.

b. Invalid, illicit major.

c. Valid, no fallacy.

d. Invalid, drawing an affirmative conclusion from negative premises.

e. Invalid, exclusive premises.
Question 6

Syllogistic Form 5HGiven the following syllogistic form:

All politicians are liars.
No lawyers are liars.
Therefore, no lawyers are politicians.

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

a. Valid, no fallacy.

b. Invalid, undistributed middle.

c. Invalid, exclusive premises.

d. Invalid, illicit minor.

e. Invalid, drawing an affirmative conclusion from universal premises.
Question 7

Syllogistic Form 2G
Given the following syllogistic form:

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

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

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

b. Invalid, exclusive premises.

c. Invalid, illicit major.

d. Valid, no fallacy.

e. Invalid, existential fallacy.
Question 8

Syllogistic Form 4G
Given the following syllogistic form:

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

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

a. Valid, no fallacy.

b. Invalid, exclusive premises.

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

d. Invalid, existential fallacy.

e. Invalid, illicit minor.
Question 9

Syllogistic Form 5G
Given the following syllogistic form:

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

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

a. Invalid, existential fallacy.

b. Invalid, undistributed middle.

c. Valid, no fallacy.

d. Invalid, illicit major.

e. Invalid, drawing an affirmative conclusion from a negative premise.
Question 10

Syllogistic Form 6G
Given the following syllogistic form:

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

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

a. Invalid, exclusive premises.

b. Valid, no fallacy.

c. Invalid, illicit minor.

d. Invalid, existential fallacy.

e. Invalid, undistributed middle.

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