Question 1

Syllogistic Form 3D
Given the following syllogistic form:
All M are P.
Some M are S.
 
Some S are P.
-For Syllogistic Form 3D, the answer from the Boolean standpoint is:
A) Invalid, undistributed middle.
B) Invalid, illicit minor.
C) Invalid, drawing an affirmative conclusion from a negative premise.
D) Valid, no fallacy.
E) Invalid, exclusive premises.

Accepted Answer

This syllogistic form is the universal affirmative (A) form, which is always valid and has no fallacy. Therefore, the answer is D, Valid, no fallacy.

Question 2

Syllogistic Form 1D
Given the following syllogistic form:
All P are M.
$\frac { \text { No } S \text { are } M } { \text { All } S \text { are } P \text {. } }$
-For Syllogistic Form 1D, the mood and figure is:
A) AIA-2.
B) AOA-3.
C) EAE-2.
D) AEA-2.
E) AEA-3.

Accepted Answer

Syllogistic Form 1D corresponds to the mood and figure AEA-2, where the first premise is universal affirmative (A), the second premise is universal affirmative (A), and the conclusion is universal affirmative (E), all arranged in the second figure.

Question 3

Syllogistic Form 4D
Given 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) EAA-3.
B) AII-2.
C) AEE-3.
D) AOO-3.
E) AEE-2.

Accepted Answer

In the given syllogistic form, the middle term (M) is distributed in the first premise (All M are P) and the second premise (No M are S). The conclusion should have the middle term distributed, which can only be accomplished with an E-statement. The conclusion "No S are P" is an E-statement. Therefore, the mood is EEE and the figure is 3. The correct choice is C) AEE-3.

Question 4

Syllogistic Form 5D
Given the following syllogistic form:
No M are P.
All S are M.
 
Some S are not P.
-For Syllogistic Form 5D, the mood and figure is:
A) EAI-1.
B) AEI-4.
C) AEO-1.
D) EAO-4.
E) EAO-1.

Accepted Answer

This syllogistic form has two negative premises (No M are P and Some S are not M), which means the conclusion must also be negative (Some S are not P). This narrows down the possible moods to EAO or OAO. The major term is M (distributed in the first premise), the minor term is S (distributed in the conclusion), and the middle term is P (distributed in the first premise and undistributed in the second premise). This fits the pattern of figure 1, where the middle term is the subject of both premises and the conclusion. The only mood that fits these criteria is EAO, so the answer is E) EAO-1.

Question 5

Syllogistic Form 6D
Given the following syllogistic form:
All P are M.
All M are S.
 
All S are P.
-For Syllogistic Form 6D, the mood and figure is:
A) AAA-1.
B) III-1.
C) EEE-4.
D) AAA-4.
E) AEA-4.

Accepted Answer

This syllogistic form has three universal affirmatives, which means the mood is AAA. The major term is S, the middle term is M, and the minor term is P. Therefore, the figure is 4. Therefore, the correct answer is D) AAA-4.

Question 6

Syllogistic Form 5D
Given the following syllogistic form:
No M are P.
All S are M.
 
Some S are not P.
-For Syllogistic Form 5D, the answer from the Boolean standpoint is:
A) Invalid, undistributed middle.
B) Invalid, existential fallacy.
C) Invalid, illicit major.
D) Invalid, exclusive premises.
E) Valid, no fallacy.

Accepted Answer

The answer of Syllogistic Form 5D
Given the following syllogistic form:
No...

Question 7

Syllogistic Form 2D
Given the following syllogistic form:
Some M are not P.
Some S are M.
 
Some S are not P.
-For Syllogistic Form 2D, after filling in the Venn diagram, 
A) There is an X on the line between areas 1 and 4 and between areas 2 and 3.
B) There is an X on the line between areas 1 and 2 and between areas 2 and 3.
C) There is an X in area 1 and in area 3.
D) There is an X on the line between areas 1 and 2 and in area 3.
E) There is an X on the line between areas 1 and 4 and between areas 2 and 5.

Accepted Answer

The answer of Syllogistic Form 2D
Given the following syllogistic form:
Some...

Question 8

Syllogistic Form 6D
Given the following syllogistic form:
All P are M.
All M are S.
 
All S are P.
-For Syllogistic Form 6D, after filling in the Venn diagram, 
A) Areas 1, 4, 6, and 7 are shaded, and there are no other marks.
B) Areas 2, 3, and 4 are shaded, and there are no other marks.
C) Areas 2, 3, 4, and 6 are shaded.
D) Areas 1, 4, 6, and 7 are shaded, and there is an X in area 3.
E) Areas 1, 2, 4, 5, 6, and 7 are shaded.

Accepted Answer

The answer of Syllogistic Form 6D
Given the following syllogistic form:
All...

Question 9

Syllogistic Form 3D
Given 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) AII-4.
B) AOO-4.
C) AII-2.
D) AEE-3.
E) AII-3.

Accepted Answer

The mood of the syllogism is AII, as the first premise is universal affirmative and the second premise is particular affirmative. The figure is 3, as the middle term (M) is the subject term of both premises and appears once in the major premise (All M are P) and once in the minor premise (Some M are S). Therefore, the correct choice is E (AII-3).

Question 10

Syllogistic Form 6D
Given the following syllogistic form:
All P are M.
All M are S.
 
All S are P.
-Given the following syllogism: No pigs are bears.
All bears are animals.
Some animals are not pigs.
This syllogism is:
A) Valid from the Aristotelian standpoint because animals exist.
B) Invalid from the Aristotelian standpoint.
C) Valid from the Aristotelian standpoint because bears exist.
D) Valid from the Boolean standpoint.
E) Valid from the Aristotelian standpoint because pigs exist.

Accepted Answer

The answer of Syllogistic Form 6D
Given the following syllogistic form:
All...

Question 11

Syllogistic Form 6D
Given the following syllogistic form:
All P are M.
All M are S.
 
All S are P.
-Given the following syllogism: No unicorns are mules.
All unicorns are animals.
Some animals are not mules.
This syllogism:
A) Is valid from both the Boolean and Aristotelian standpoints.
B) Is valid from the Boolean standpoint only.
C) Commits the existential fallacy from the Boolean standpoint only.
D) Commits the existential fallacy from both standpoints.
E) Commits the existential fallacy from the Aristotelian standpoint only.

Accepted Answer

The answer of Syllogistic Form 6D
Given the following syllogistic form:
All...

Question 12

Syllogistic Form 5D
Given the following syllogistic form:
No M are P.
All S are M.
 
Some S are not P.
-For Syllogistic Form 5D, after filling in the Venn diagram, 
A) Areas 3, 4, 5 and 6 are shaded, and there are no other marks.
B) Areas 3 and 4 are shaded, and there is an X on the line between areas 2 and 5.
C) Areas 1, 2, and 3 are shaded.
D) Areas 3, 4, 5, and 6 are shaded, and there is an X in area 2.
E) Areas 3, 4, 5, and 6 are shaded, and there is an X in area 6.

Accepted Answer

The answer of Syllogistic Form 5D
Given the following syllogistic form:
No...

Question 13

Syllogistic Form 6D
Given the following syllogistic form:
All P are M.
All M are S.
 
All S are P.
-For Syllogistic Form 6D, the answer from the Boolean standpoint is:
A) Invalid, illicit major.
B) Valid, no fallacy.
C) Invalid, existential fallacy.
D) Invalid, exclusive premises.
E) Invalid, illicit minor.

Accepted Answer

The answer of Syllogistic Form 6D
Given the following syllogistic form:
All...

Question 14

Syllogistic Form 3D
Given the following syllogistic form:
All M are P.
Some M are S.
 
Some S are P.
-For Syllogistic Form 3D, 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 1 and 4 are shaded, and there is an X in area 3.
E) Areas 1 and 2 are shaded, and there is an X in area 4.

Accepted Answer

The answer of Syllogistic Form 3D
Given the following syllogistic form:
All...

Question 15

Syllogistic Form 1D
Given the following syllogistic form:
All P are M.
$\frac { \text { No } S \text { are } M } { \text { All } S \text { are } P \text {. } }$
-For Syllogistic Form 1D, the answer from the Boolean standpoint is:
A) Valid, no fallacy.
B) Invalid, illicit minor.
C) Invalid, drawing an affirmative conclusion from a negative premise.
D) Invalid, undistributed middle.
E) Invalid, existential fallacy.

Accepted Answer

Syllogistic Form 1D involves drawing an affirmative conclusion from a negative premise, which is logically invalid because the conclusion asserts something positive about the relationship between two categories, while the premises do not support this assertion due to the presence of a negative statement.

Question 16

Syllogistic Form 2D
Given 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-1.
B) OEO-1.
C) OIO-1.
D) IOI-4.
E) OIO-4.

Accepted Answer

The mood of the syllogism is OIO, meaning the premises contain one negative proposition (Some M are not P) and two particular propositions (Some S are M and Some S are not P). The figure is 1, where the middle term (M) is the predicate of both premises. This fits with option C) OIO-1.

Question 17

Syllogistic Form 4D
Given the following syllogistic form:
All M are P.
No M are S.
 
No S are P.
-For Syllogistic Form 4D, the answer from the Boolean standpoint is:
A) Invalid, drawing a negative conclusion from affirmative premises.
B) Invalid, illicit minor.
C) Invalid, illicit major.
D) Valid, no fallacy.
E) Invalid, existential fallacy.

Accepted Answer

This syllogism violates the rule of illicit major, which states that the middle term must be distributed at least once in one of the premises to be distributed in the conclusion. In this case, the major term "P" is not distributed in either premise but is distributed in the conclusion. Therefore, the conclusion "No S are P" cannot be logically inferred from the premises.

Question 18

Syllogistic Form 2D
Given the following syllogistic form:
Some M are not P.
Some S are M.
 
Some S are not P.
-For Syllogistic Form 2D, the answer from the Boolean standpoint is:
A) Valid, no fallacy.
B) Invalid, illicit minor.
C) invalid, drawing a negative conclusion from affirmative premises.
D) Invalid, illicit major.
E) Invalid, undistributed middle.

Accepted Answer

The answer of Syllogistic Form 2D
Given the following syllogistic form:
Some...

Question 19

Syllogistic Form 4D
Given the following syllogistic form:
All M are P.
No M are S.
 
No S are P.
-For Syllogistic Form 4D, after filling in the Venn diagram, 
A) Areas 1, 2, and 4 are shaded, and there are no other marks.
B) Areas 1, 2, and 3 are shaded, and there are no other marks.
C) Areas 1, 3, and 4 are shaded.
D) Areas 1, 2, and 3 are shaded, and there is an X in area 4.
E) Areas 2 and 3, and 4 are shaded.

Accepted Answer

The answer of Syllogistic Form 4D
Given the following syllogistic form:
All...

Question 20

Syllogistic Form 1D
Given the following syllogistic form:
All P are M.
$\frac { \text { No } S \text { are } M } { \text { All } S \text { are } P \text {. } }$
-For Syllogistic Form 1D, after filling in the Venn diagram, 
A) Areas 2, 3, 6, and 7 are shaded, and there are no other marks.
B) Areas 3, 4, 5, and 6 are shaded.
C) Areas 2 and 3 are shaded, and there is an X in area 4.
D) Areas 2, 3, 5, 6, and 7 are shaded.
E) Areas 2, 3, 6, and 7 are shaded, and there is an X in area 5.

Accepted Answer

The answer of Syllogistic Form 1D
Given the following syllogistic form:
All...

Quiz 5: Categorical Syllogisms

Syllogistic Form 3D Given the following syllogistic form: All M are P. Some M are S. Some S are P. -For Syllogistic Form 3D, the answer from the Boolean standpoint is:

Syllogistic Form 1D Given the following syllogistic form: All P are M. No S are M All S are P. \frac { \text { No } S \text { are } M } { \text { All } S \text { are } P \text {. } } All S are P. No S are M​ -For Syllogistic Form 1D, the mood and figure is:

Syllogistic Form 4D Given 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:

Syllogistic Form 5D Given the following syllogistic form: No M are P. All S are M. Some S are not P. -For Syllogistic Form 5D, the mood and figure is:

Syllogistic Form 6D Given the following syllogistic form: All P are M. All M are S. All S are P. -For Syllogistic Form 6D, the mood and figure is:

Syllogistic Form 5D Given the following syllogistic form: No M are P. All S are M. Some S are not P. -For Syllogistic Form 5D, the answer from the Boolean standpoint is:

Syllogistic Form 2D Given the following syllogistic form: Some M are not P. Some S are M. Some S are not P. -For Syllogistic Form 2D, after filling in the Venn diagram,

Syllogistic Form 6D Given the following syllogistic form: All P are M. All M are S. All S are P. -For Syllogistic Form 6D, after filling in the Venn diagram,

Syllogistic Form 3D Given 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:

Syllogistic Form 6D Given the following syllogistic form: All P are M. All M are S. All S are P. -Given the following syllogism: No pigs are bears. All bears are animals. Some animals are not pigs. This syllogism is:

Syllogistic Form 6D Given the following syllogistic form: All P are M. All M are S. All S are P. -Given the following syllogism: No unicorns are mules. All unicorns are animals. Some animals are not mules. This syllogism:

Syllogistic Form 5D Given the following syllogistic form: No M are P. All S are M. Some S are not P. -For Syllogistic Form 5D, after filling in the Venn diagram,

Syllogistic Form 6D Given the following syllogistic form: All P are M. All M are S. All S are P. -For Syllogistic Form 6D, the answer from the Boolean standpoint is:

Syllogistic Form 3D Given the following syllogistic form: All M are P. Some M are S. Some S are P. -For Syllogistic Form 3D, after filling in the Venn diagram,

Syllogistic Form 1D Given the following syllogistic form: All P are M. No S are M All S are P. \frac { \text { No } S \text { are } M } { \text { All } S \text { are } P \text {. } } All S are P. No S are M​ -For Syllogistic Form 1D, the answer from the Boolean standpoint is:

Syllogistic Form 2D Given 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:

Syllogistic Form 4D Given the following syllogistic form: All M are P. No M are S. No S are P. -For Syllogistic Form 4D, the answer from the Boolean standpoint is:

Syllogistic Form 2D Given the following syllogistic form: Some M are not P. Some S are M. Some S are not P. -For Syllogistic Form 2D, the answer from the Boolean standpoint is:

Syllogistic Form 4D Given the following syllogistic form: All M are P. No M are S. No S are P. -For Syllogistic Form 4D, after filling in the Venn diagram,

Syllogistic Form 1D Given the following syllogistic form: All P are M. No S are M All S are P. \frac { \text { No } S \text { are } M } { \text { All } S \text { are } P \text {. } } All S are P. No S are M​ -For Syllogistic Form 1D, after filling in the Venn diagram,

Syllogistic Form 1D Given the following syllogistic form: All P are M. $\frac { \text { No } S \text { are } M } { \text { All } S \text { are } P \text {. } }$ -For Syllogistic Form 1D, the mood and figure is:

Syllogistic Form 1D Given the following syllogistic form: All P are M. $\frac { \text { No } S \text { are } M } { \text { All } S \text { are } P \text {. } }$ -For Syllogistic Form 1D, the answer from the Boolean standpoint is: