Question 1

Syllogistic Form 6G
Given the following syllogistic form:
 
-For Syllogistic Form 6G, the answer from the Boolean standpoint is:

Accepted Answer

A)  Invalid, existential fallacy. 
B)  Invalid, illicit minor. 
C)  Invalid, undistributed middle. 
D)  Valid, no fallacy. 
E)  Invalid, exclusive premises. 
A)  Invalid, existential fallacy. 
B)  Invalid, illicit minor. 
C)  Invalid, undistributed middle. 
D)  Valid, no fallacy. 
E)  Invalid, exclusive premises.

Question 2

Syllogistic Form 2A
Given the following syllogistic form:
All M are P.
All M are S.
 
Some S are P.
-For Syllogistic Form 2A, the mood and figure is:

Accepted Answer

A)  EEO-3 
B)  EEI-2 
C)  AAO-2 
D)  AAI-3 
E)  AAI-2 
A)  EEO-3 
B)  EEI-2 
C)  AAO-2 
D)  AAI-3 
E)  AAI-2

Question 3

Syllogistic Form 4I
Given the following syllogistic form:
All M are P.
 
-For Syllogistic Form 4I, the mood and figure is:

Accepted Answer

A)  IAO-1 
B)  EIO-1 
C)  AOI-3 
D)  AIO-2 
E)  AIO-3 
A)  IAO-1 
B)  EIO-1 
C)  AOI-3 
D)  AIO-2 
E)  AIO-3

Question 4

Syllogism 4E
Given the following syllogism:
Spencer is happy whenever he wins at poker, and he won tonight. Thus, Spencer is happy tonight.
-After translating Syllogism 4E into standard form, the conclusion is:

Accepted Answer

A)  All times Spencer wins at poker are times Spencer is happy. 
B)  All persons identical to Spencer are persons who are happy tonight. 
C)  All times identical to tonight are times Spencer wins at poker. 
D)  All times identical to tonight are times Spencer is happy. 
E)  All times Spencer is happy are time identical to tonight. 
A)  All times Spencer wins at poker are times Spencer is happy. 
B)  All persons identical to Spencer are persons who are happy tonight. 
C)  All times identical to tonight are times Spencer wins at poker. 
D)  All times identical to tonight are times Spencer is happy. 
E)  All times Spencer is happy are time identical to tonight.

Question 5

Sorites 1A
Given the following sorites:  
-For Sorites 1A, the first intermediate conclusion is:

Accepted Answer

A)   
B)   
C)   
D)   
E)   
A)   
B)   
C)   
D)   
E)

Question 6

Sorites 1D
Given the following sorites:
Some S are R.
No B are S.
All R are H.
All M are B.
 
Some H are not M.
-For Sorites 1D, the correct answer is:

Accepted Answer

A)  Invalid. 
B)  Sound. 
C)  Valid. 
D)  Unsound. 
E)  Cogent. 
A)  Invalid. 
B)  Sound. 
C)  Valid. 
D)  Unsound. 
E)  Cogent.

Question 7

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

Accepted Answer

A)  Invalid, illicit minor. 
B)  Invalid, illicit major. 
C)  Invalid, existential fallacy. 
D)  Invalid, exclusive premises. 
E)  Valid, no fallacy. 
A)  Invalid, illicit minor. 
B)  Invalid, illicit major. 
C)  Invalid, existential fallacy. 
D)  Invalid, exclusive premises. 
E)  Valid, no fallacy.

Question 8

Syllogistic Form 3H
Given the following syllogistic form:
Some P are not M.

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

Accepted Answer

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. 
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.

Question 9

Syllogistic Form 3G
Given the following syllogistic form:
Some P are M.

-For Syllogistic Form 3G, after filling in the Venn diagram,

Accepted Answer

A)  Areas 5 and 6 are shaded, there is an X on the line between areas 3 and 4. 
B)  Areas 5 and 6 are shaded, and there is an X in area 4. 
C)  Areas 6 and 7 are shaded, and there is an X in area 3. 
D)  Areas 5 and 6 are shaded, and there is an X on the line between areas 2 and 3. 
E)  Areas 2 and 5 are shaded, and there is an X on the line between areas 3 and 4. 
A)  Areas 5 and 6 are shaded, there is an X on the line between areas 3 and 4. 
B)  Areas 5 and 6 are shaded, and there is an X in area 4. 
C)  Areas 6 and 7 are shaded, and there is an X in area 3. 
D)  Areas 5 and 6 are shaded, and there is an X on the line between areas 2 and 3. 
E)  Areas 2 and 5 are shaded, and there is an X on the line between areas 3 and 4.

Question 10

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

Accepted Answer

A)  EAE-1. 
B)  EAE-4. 
C)  AEA-1. 
D)  AIA-1. 
E)  AEA-4. 
A)  EAE-1. 
B)  EAE-4. 
C)  AEA-1. 
D)  AIA-1. 
E)  AEA-4.

Question 11

Sorites 1C
Given the following sorites:
All G are B.
Some S are T.
No G are K.
No T are B.
 
Some K are not S.
-For Sorites 1C, the second intermediate conclusion is:

Accepted Answer

A)  No K are B. 
B)  No B are T. 
C)  Some S are G. 
D)  Some S are not G. 
E)  Some B are not S. 
A)  No K are B. 
B)  No B are T. 
C)  Some S are G. 
D)  Some S are not G. 
E)  Some B are not S.

Question 12

Syllogistic Form 4C
Given the following syllogistic form:
All P are M.
All S are M.
 
All S are P.
-For Syllogistic Form 4C, after filling in the Venn diagram,

Accepted Answer

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. 
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.

Question 13

Given the following syllogism:
No unicorns are mules.
All unicorns are animals.
 
Some animals are not mules.
This syllogism:

Accepted Answer

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. 
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.

Question 14

Sorites 1D
Given the following sorites:
Some S are R.
No B are S.
All R are H.
All M are B.
 
Some H are not M.
-For Sorites 1D, the correct standard form is:

Accepted Answer

A)  All M are B.
No B are S.
Some S are R.
All R are H.
 
Some H are not M. 
B)  All R are H.
Some H are not M.
All M are B.
No B are S.
 
Some S are R. 
C)  All R are H.
Some S are R.
No B are S.
All M are B.
 
Some H are not M. 
D)  All R are H.
Some S are R.
All M are B.
No B are S.
 
Some H are not M. 
E)  No B are S.
All M are B.
Some S are R.
All R are H.
 
Some H are not M. 
A)  All M are B.
No B are S.
Some S are R.
All R are H.
 
Some H are not M. 
B)  All R are H.
Some H are not M.
All M are B.
No B are S.
 
Some S are R. 
C)  All R are H.
Some S are R.
No B are S.
All M are B.
 
Some H are not M. 
D)  All R are H.
Some S are R.
All M are B.
No B are S.
 
Some H are not M. 
E)  No B are S.
All M are B.
Some S are R.
All R are H.
 
Some H are not M.

Question 15

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.
-For Syllogism 3H, the minor premise is:

Accepted Answer

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. 
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.

Question 16

Syllogistic Form 6A
Given the following syllogistic form:
No P are M.
Some S are M.
 
Some S are not P.
-For Syllogistic Form 6A, the answer from the Boolean standpoint is:

Accepted Answer

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. 
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.

Question 17

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

Accepted Answer

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. 
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.

Question 18

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

Accepted Answer

A)  Invalid, drawing an affirmative conclusion from a negative premise. 
B)  Invalid, exclusive premises. 
C)  Valid, no fallacy. 
D)  Invalid, illicit major. 
E)  Invalid, existential fallacy. 
A)  Invalid, drawing an affirmative conclusion from a negative premise. 
B)  Invalid, exclusive premises. 
C)  Valid, no fallacy. 
D)  Invalid, illicit major. 
E)  Invalid, existential fallacy.

Question 19

Syllogistic Form 6A
Given the following syllogistic form:  
-For Syllogistic Form 6A, the answer from the Boolean standpoint is:

Accepted Answer

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. 
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.

Question 20

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

Accepted Answer

A)  OII-4. 
B)  IOO-1. 
C)  IOO-4. 
D)  EOO-1. 
E)  OII-1. 
A)  OII-4. 
B)  IOO-1. 
C)  IOO-4. 
D)  EOO-1. 
E)  OII-1.

Syllogistic Form 6G Given the following syllogistic form: -For Syllogistic Form 6G, the answer from the Boolean standpoint is:

Syllogistic Form 2A Given the following syllogistic form: All M are P. All M are S. Some S are P. -For Syllogistic Form 2A, the mood and figure is:

Syllogistic Form 4I Given the following syllogistic form: All M are P. -For Syllogistic Form 4I, the mood and figure is:

Syllogism 4E Given the following syllogism: Spencer is happy whenever he wins at poker, and he won tonight. Thus, Spencer is happy tonight. -After translating Syllogism 4E into standard form, the conclusion is:

Sorites 1A Given the following sorites: -For Sorites 1A, the first intermediate conclusion is:

Sorites 1D Given the following sorites: Some S are R. No B are S. All R are H. All M are B. Some H are not M. -For Sorites 1D, the correct answer is:

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

Syllogistic Form 3H Given the following syllogistic form: Some P are not M. -For Syllogistic Form 3H, the answer from the Boolean standpoint is:

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

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

Sorites 1C Given the following sorites: All G are B. Some S are T. No G are K. No T are B. Some K are not S. -For Sorites 1C, the second intermediate conclusion is:

Syllogistic Form 4C Given the following syllogistic form: All P are M. All S are M. All S are P. -For Syllogistic Form 4C, after filling in the Venn diagram,

Given the following syllogism: No unicorns are mules. All unicorns are animals. Some animals are not mules. This syllogism:

Sorites 1D Given the following sorites: Some S are R. No B are S. All R are H. All M are B. Some H are not M. -For Sorites 1D, the correct standard form is:

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. -For Syllogism 3H, the minor premise is:

Syllogistic Form 6A Given the following syllogistic form: No P are M. Some S are M. Some S are not P. -For Syllogistic Form 6A, the answer from the Boolean standpoint is:

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

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

Syllogistic Form 6A Given the following syllogistic form: -For Syllogistic Form 6A, the answer from the Boolean standpoint is:

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

Basic Concepts

Language: Meaning and Definition

Informal Fallacies

Categorical Propositions

Propositional Logic

Natural Deduction in Propositional Logic

Predicate Logic

Analogy and Legal and Moral Reasoning

Causality and Mills Methods

Probability

Statistical Reasoning

Hypotheticalscientific Reasoning

Science and Superstition

Filters

Exam 5: Categorical Syllogisms

Syllogistic Form 6G Given the following syllogistic form: -For Syllogistic Form 6G, the answer from the Boolean standpoint is:

Syllogistic Form 2A Given the following syllogistic form: All M are P. All M are S. Some S are P. -For Syllogistic Form 2A, the mood and figure is:

Syllogistic Form 4I Given the following syllogistic form: All M are P. -For Syllogistic Form 4I, the mood and figure is:

Syllogism 4E Given the following syllogism: Spencer is happy whenever he wins at poker, and he won tonight. Thus, Spencer is happy tonight. -After translating Syllogism 4E into standard form, the conclusion is:

Sorites 1A Given the following sorites: -For Sorites 1A, the first intermediate conclusion is:

Sorites 1D Given the following sorites: Some S are R. No B are S. All R are H. All M are B. Some H are not M. -For Sorites 1D, the correct answer is:

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

Syllogistic Form 3H Given the following syllogistic form: Some P are not M. -For Syllogistic Form 3H, the answer from the Boolean standpoint is:

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

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

Sorites 1C Given the following sorites: All G are B. Some S are T. No G are K. No T are B. Some K are not S. -For Sorites 1C, the second intermediate conclusion is:

Syllogistic Form 4C Given the following syllogistic form: All P are M. All S are M. All S are P. -For Syllogistic Form 4C, after filling in the Venn diagram,

Given the following syllogism: No unicorns are mules. All unicorns are animals. Some animals are not mules. This syllogism:

Sorites 1D Given the following sorites: Some S are R. No B are S. All R are H. All M are B. Some H are not M. -For Sorites 1D, the correct standard form is:

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. -For Syllogism 3H, the minor premise is:

Syllogistic Form 6A Given the following syllogistic form: No P are M. Some S are M. Some S are not P. -For Syllogistic Form 6A, the answer from the Boolean standpoint is:

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

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

Syllogistic Form 6A Given the following syllogistic form: -For Syllogistic Form 6A, the answer from the Boolean standpoint is:

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

Basic Concepts

Language: Meaning and Definition

Informal Fallacies

Categorical Propositions

Propositional Logic

Natural Deduction in Propositional Logic

Predicate Logic

Analogy and Legal and Moral Reasoning

Causality and Mills Methods

Probability

Statistical Reasoning

Hypotheticalscientific Reasoning

Science and Superstition

Filters