Question 1

Syllogism 4A
Given the following syllogism:
Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes.
-For Syllogism 4A, the minor premise is:

Accepted Answer

A)  No movies without nude scenes are movies not identical to Dark Interlude. 
B)  All movies with nude scenes are sexy movies. 
C)  All sexy movies are movies with nude scenes. 
D)  All movies identical to Dark Interlude are sexy movies. 
E)  All movies identical to Dark Interlude are movies with nude scenes.

Question 2

Given the following enthymeme: Religions are dangerous if they lead to violence, and fundamentalist religions lead to violence.
The statement needed to convert the enthymeme into a valid syllogism is:

Accepted Answer

A)  Fundamentalist religions are dangerous. (Conclusion) 
B)  Fundamentalist religion has led some followers to commit murder. (Conclusion) 
C)  Some things that lead to violence are fundamentalist religions. (Premise) 
D)  Pat Robertson is a fundamentalist Christian. (Premise) 
E)  All non-fundamentalist religions are things that are not dangerous. (Conclusion)

Question 3

Syllogism 3A
Given the following syllogism:
Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools.
-For Syllogism 3A, the major premise is:

Accepted Answer

A)  No people who own tools are people identical to Jack. 
B)  No people identical to Jack are mechanics. 
C)  All people identical to Jack are not people who own tools. 
D)  All people who own tools are mechanics. 
E)  All mechanics are people who own tools.

Question 4

Syllogistic Form 4G
Given the following syllogistic form:

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

Accepted Answer

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

Question 5

Sorites 1I
Given the following sorites:
Some M are H.
All G are Q.
All S are G.

-For Sorites 1I, the second intermediate conclusion is:

Accepted Answer

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

Question 6

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:

Accepted Answer

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)

Question 7

Sorites 1I
Given the following sorites:
Some M are H.
All G are Q.
All S are G.

-For Sorites 1I, the first intermediate conclusion is:

Accepted Answer

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

Question 8

Syllogism 3F
Given the following syllogism:
Musicians are not accomplished unless they practice. Thus, Claire must not be accomplished because she never practices.
-For Syllogism 3F, the minor premise is:

Accepted Answer

A)  All persons identical to Claire are not musicians who practice. 
B)  All persons identical to Claire are musicians who do not practice. 
C)  No persons identical to Claire are accomplished musicians. 
D)  No persons identical to Claire are musicians who practice. 
E)  All accomplished musicians are musicians who practice.

Question 9

Given the following enthymeme: Schools cannot discriminate if they receive federal financing, and Hamilton College receives federal financing.
The statement needed to convert the enthymeme into a valid syllogism is:

Accepted Answer

A)  Not all schools receive federal financing. (Premise) 
B)  Some colleges other than Hamilton College discriminate. (Conclusion) 
C)  Hamilton College can discriminate. (Conclusion) 
D)  Hamilton College cannot discriminate. (Premise) 
E)  Hamilton College cannot discriminate. (Conclusion)

Question 10

Syllogism 4I
Given the following syllogism:
Games are not fun unless they are challenging, so chess is fun, because chess is challenging.
-For Syllogism 4I, the conclusion is:

Accepted Answer

A)  All games identical to chess are fun games. 
B)  All games identical to chess are challenging games. 
C)  No unchallenging games are games identical to chess. 
D)  All challenging games are games identical to chess. 
E)  All fun games are challenging games.

Question 11

Syllogism 2A
Given the following syllogism:
Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods.
-For Syllogism 2A, the minor premise is:

Accepted Answer

A)  Some appetizing foods are contaminated salads. 
B)  Some healthy meals are contaminated salads. 
C)  Some healthy meals are not contaminated salads. 
D)  All appetizing foods are healthy meals. 
E)  No unhealthy meals are appetizing foods.

Question 12

Given the following sorites: No S are A.
All N are A.
All T are N.
Some R are T.
Some R are not S.
This sorites is:

Accepted Answer

A)  Invalid because only one premise is negative. 
B)  Invalid because one of the middle terms is undistributed. 
C)  Invalid because a term is distributed in the conclusion but not in the premise. 
D)  Valid because no rules are broken. 
E)  Valid because a negative premise requires a negative conclusion.

Question 13

Syllogistic Form 2A
Given the following syllogistic form: 
-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

Question 14

Syllogistic Form 3A
Given the following syllogistic form: 
-For Syllogistic Form 3A, after filling in the Venn diagram,

Accepted Answer

A)  Areas 1, 4, 6 and 7 are shaded. 
B)  Areas 2, 3, 6, and 7 are shaded. 
C)  Areas 1, 3, and 4 are shaded. 
D)  Areas 3 and 4 are shaded, and there is an X in area 2. 
E)  Areas 1, 2, 6, and 7 are shaded.

Question 15

Given the following syllogism:

This syllogism:

Accepted Answer

A)  Commits the existential fallacy from the Aristotelian standpoint only. 
B)  Is valid from the Boolean standpoint. 
C)  Is invalid from both the Boolean and the Aristotelian standpoints. 
D)  Is valid from the Aristotelian standpoint. 
E)  Commits the existential fallacy from both standpoints.

Question 16

Syllogism 2C
Given the following syllogism:
No dogs that do not love children are reliable watchdogs, since all dogs that don't bite are unreliable watchdogs, and no dogs that love children are dogs that bite.
-After reducing the number of terms in Syllogism 2C, the conclusion is:

Accepted Answer

A)  All reliable watchdogs are dogs that love children. 
B)  No dogs that love children are dogs that bite. 
C)  All reliable watchdogs are dogs that bite. 
D)  All dogs that bite are reliable watchdogs. 
E)  All dogs that love children are reliable watchdogs.

Question 17

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

Accepted Answer

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

Question 18

Syllogistic Form 3D
Given the following syllogistic form:
All M are P.

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

Accepted Answer

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.

Question 19

Syllogism 3E
Given the following syllogism:
Tulips are not daffodils. Hence, since the only flowers in the garden are daffodils, there are no tulips in the garden.
-For Syllogism 3E, the minor premise is:

Accepted Answer

A)  All flowers in the garden are daffodils. 
B)  No flowers in the garden are daffodils. 
C)  No tulips are daffodils. 
D)  Some flowers in the garden are daffodils. 
E)  No flowers in the garden are tulips.

Question 20

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

Accepted Answer

A)  EAE-4 
B)  AIA-4 
C)  IAI-4 
D)  AEA-1 
E)  EIE-2

Exam 5: Categorical Syllogisms

Syllogism 4A Given the following syllogism: Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes. -For Syllogism 4A, the minor premise is:

Given the following enthymeme: Religions are dangerous if they lead to violence, and fundamentalist religions lead to violence. The statement needed to convert the enthymeme into a valid syllogism is:

Syllogism 3A Given the following syllogism: Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools. -For Syllogism 3A, the major premise is:

Syllogistic Form 4G Given the following syllogistic form: -For Syllogistic Form 4G, the answer from the Boolean standpoint is:

Sorites 1I Given the following sorites: Some M are H. All G are Q. All S are G. -For Sorites 1I, the second intermediate conclusion is:

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:

Sorites 1I Given the following sorites: Some M are H. All G are Q. All S are G. -For Sorites 1I, the first intermediate conclusion is:

Syllogism 3F Given the following syllogism: Musicians are not accomplished unless they practice. Thus, Claire must not be accomplished because she never practices. -For Syllogism 3F, the minor premise is:

Given the following enthymeme: Schools cannot discriminate if they receive federal financing, and Hamilton College receives federal financing. The statement needed to convert the enthymeme into a valid syllogism is:

Syllogism 4I Given the following syllogism: Games are not fun unless they are challenging, so chess is fun, because chess is challenging. -For Syllogism 4I, the conclusion is:

Syllogism 2A Given the following syllogism: Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods. -For Syllogism 2A, the minor premise is:

Given the following sorites: No S are A. All N are A. All T are N. Some R are T. Some R are not S. This sorites is:

Syllogistic Form 2A Given the following syllogistic form: -For Syllogistic Form 2A, the mood and figure is:

Syllogistic Form 3A Given the following syllogistic form: -For Syllogistic Form 3A, after filling in the Venn diagram,

Given the following syllogism: This syllogism:

Syllogism 2C Given the following syllogism: No dogs that do not love children are reliable watchdogs, since all dogs that don't bite are unreliable watchdogs, and no dogs that love children are dogs that bite. -After reducing the number of terms in Syllogism 2C, the conclusion is:

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

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

Syllogism 3E Given the following syllogism: Tulips are not daffodils. Hence, since the only flowers in the garden are daffodils, there are no tulips in the garden. -For Syllogism 3E, the minor premise is:

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