Question 1

Syllogistic Form 3I
Given the following syllogistic form:
Some M are not P.
$\frac{\text { Some S are M . }}{\text { Some S are not P . }}$
-For Syllogistic Form 3I, the answer from the Boolean standpoint is:

Accepted Answer

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

Question 2

Syllogism 4H
Given the following syllogism:
Trudy must read biographies, because Trudy likes biographies and Trudy reads what she likes.
-For Syllogism 4H, the minor premise is:

Accepted Answer

A)  All persons identical to Trudy are persons who read what they like. 
B)  Some books Trudy likes are biographies. 
C)  All books Trudy likes are books Trudy reads. 
D)  All books Trudy reads are books Trudy likes. 
E)  All persons identical to Trudy are persons who read biographies.

Question 3

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 4

Syllogism 1H
Given the following syllogism:
No unsigned paintings are expensive art works, since no signed paintings are framed prints, and all unframed prints are inexpensive art works.
-For Syllogism 1H, the minor premise is:

Accepted Answer

A)  All signed paintings are unframed prints. 
B)  No signed paintings are framed prints. 
C)  All expensive art works are signed paintings. 
D)  All signed paintings are expensive art works. 
E)  All expensive art works are framed prints.

Question 5

Syllogism 3C
Given the following syllogism:
There are applicants who are not trustworthy, because whoever has a criminal record is untrustworthy, and several applicants have criminal records.
-For Syllogism 3C, the minor premise is:

Accepted Answer

A)  Some trustworthy people are not applicants. 
B)  No people with criminal records are trustworthy people. 
C)  Several applicants have criminal records. 
D)  Some applicants are not trustworthy people. 
E)  Some applicants are people with criminal records.

Question 6

Syllogism 4C
Given the following syllogism:
A boy is uncontrollable unless he has good parenting. Thus, only the choirboys are controllable, since the only boys with good parenting are choirboys.
-For Syllogism 4C, the minor premise is:

Accepted Answer

A)  All controllable boys are boys with good parenting. 
B)  All controllable boys are choirboys. 
C)  All boys with good parenting are controllable boys. 
D)  All choirboys are boys with good parenting. 
E)  All boys with good parenting are choirboys.

Question 7

Sorites 1E
Given the following sorites:
All F are G.
No T are N.
Some K are N.
$\frac{\text { All } \mathrm{F} \text { are } \mathrm{T} \text {. }}{\text { Some } \mathrm{G} \text { are not } \mathrm{K} \text {. }}$
-For Sorites 1E, the correct answer is:

Accepted Answer

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

Question 8

Syllogism 2F
Given the following syllogism:
Some unfriendly companions are individuals with a sense of humor, for all individuals without a sense of humor are people hard to get along with, and some friendly companions are people easy to get along with.
-For Syllogism 2F, the major premise is:

Accepted Answer

A)  All people easy to get along with are individuals with a sense of humor. 
B)  Some friendly companions are people easy to get along with. 
C)  No individuals without a sense of humor are people easy to get along with. 
D)  Some friendly companions are not people hard to get along with. 
E)  Some individuals with a sense of humor are not friendly companions.

Question 9

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 minor premise is:

Accepted Answer

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

Question 10

Syllogistic Form 5I
Given the following syllogistic form:
All M are P.
$\frac{ \text { All M are S. }}{ \text { Some S are P.}}$

-For Syllogistic Form 5I, the mood and figure is:

Accepted Answer

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

Question 11

Syllogistic Form 6E
Given the following syllogistic form:
Some M are P.
$\frac{\text { Some } \mathrm{S} \text { are not } \mathrm{M}.}{\text { Some } \mathrm{S} \text { are not } \mathrm{P} \text {. }}$
-Given the following syllogism: No sheep are mammals.
All goats are mammals.
Some goats are not sheep.
This syllogism is:

Accepted Answer

A)  Valid from the Aristotelian standpoint because mammals exist. 
B)  Valid from the Boolean standpoint. 
C)  Valid from the Aristotelian standpoint because goats exist. 
D)  Invalid from the Aristotelian standpoint. 
E)  Valid from the Aristotelian standpoint because sheep exist.

Question 12

Syllogism 3F
Given the following syllogism:
Musicians are not accomplished unless they practice. Thus, Claire must not be accomplished because she never practices.
-After translating Syllogism 3F into standard form, the conclusion is:

Accepted Answer

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

Question 13

Syllogistic Form 6F
Given the following syllogistic form:
All M are P.
$\frac{\text { No } \mathrm{S} \text { are M }}{\text { All } \mathrm{S} \text { are } \mathrm{P} \text {. }}$
-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.

Question 14

Syllogistic Form 3F
Given the following syllogistic form:
Some M are not P.
$\frac{\text { Some } \mathrm{M} \text { are } \mathrm{S} \text {. }}{\text { Some } \mathrm{S} \text { are not } \mathrm{P} \text {. }}$
-For Syllogistic Form 3F, the mood and figure is:

Accepted Answer

A)  OIO-3. 
B)  IOI-3. 
C)  OIO-2. 
D)  OEO-3. 
E)  IOI-2.

Question 15

Syllogistic Form 6F
Given the following syllogistic form:
All M are P.
$\frac{\text { No } \mathrm{S} \text { are M }}{\text { All } \mathrm{S} \text { are } \mathrm{P} \text {. }}$
-For Syllogistic Form 6F, after filling in the Venn diagram,

Accepted Answer

A)  Areas 1, 4, 6, and 7 are shaded, and there is an X in area 3. 
B)  Areas 2, 3, 6, and 7 are shaded. 
C)  Areas 1, 4, 6, and 7 are shaded, and there are no other marks. 
D)  Areas 1, 2, and 3 are shaded, and there is an X in area 4. 
E)  Areas 1, 2, and 3 are shaded, and there are no other marks.

Question 16

Syllogistic Form 5E
Given the following syllogistic form:
All P are M.
$\frac{Some Mare S.}{Some S are P.}$
-For Syllogistic Form 5E, the mood and figure is:

Accepted Answer

A)  AII-1. 
B)  AOO-4. 
C)  AII-4. 
D)  AOO-1. 
E)  AII-2.

Question 17

Syllogistic Form 1C
Given the following syllogistic form:
Some M are not P.
All M are S. 
 
Some S are not P.
-For Syllogistic Form 1C, the answer from the Boolean standpoint is:

Accepted Answer

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

Question 18

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

Accepted Answer

A)  There is an X on the line between areas 2 and 5 and between areas 1 and 4. 
B)  There is an X on the line between areas 2 and 3 and between areas 6 and 7. 
C)  There is an X in areas 2 and in area 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 on the line between areas 3 and 4 and in area 3.

Question 19

Syllogism 4D
Given the following syllogism:
A few Hondas are not on sale, because the cars with green tags are not on sale and a few Hondas have green tags.
-After translating Syllogism 4D into standard form, the conclusion is:

Accepted Answer

A)  Some cars that are on sale are not Hondas. 
B)  Some Hondas are cars with green tags. 
C)  All cars with green tags are cars that are not on sale. 
D)  Some Hondas are not cars that are on sale. 
E)  No cars with green tags are cars on sale.

Question 20

Sorites 1H
Given the following sorites:
All R are F.
Some K are N.
No R are A.
$\frac{\text { No N are } F}{\text { Some } \mathrm{A} \text { are not } \mathrm{K} \text {. }}$
-For Sorites 1H, the correct answer is:

Accepted Answer

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

Exam 5: Categorical Syllogisms

Syllogistic Form 3I Given the following syllogistic form: Some M are not P. Some S are M . Some S are not P . \frac{\text { Some S are M . }}{\text { Some S are not P . }} Some S are not P . Some S are M . ​ -For Syllogistic Form 3I, the answer from the Boolean standpoint is:

Syllogism 4H Given the following syllogism: Trudy must read biographies, because Trudy likes biographies and Trudy reads what she likes. -For Syllogism 4H, the minor premise 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:

Syllogism 1H Given the following syllogism: No unsigned paintings are expensive art works, since no signed paintings are framed prints, and all unframed prints are inexpensive art works. -For Syllogism 1H, the minor premise is:

Syllogism 3C Given the following syllogism: There are applicants who are not trustworthy, because whoever has a criminal record is untrustworthy, and several applicants have criminal records. -For Syllogism 3C, the minor premise is:

Syllogism 4C Given the following syllogism: A boy is uncontrollable unless he has good parenting. Thus, only the choirboys are controllable, since the only boys with good parenting are choirboys. -For Syllogism 4C, the minor premise is:

Syllogism 2F Given the following syllogism: Some unfriendly companions are individuals with a sense of humor, for all individuals without a sense of humor are people hard to get along with, and some friendly companions are people easy to get along with. -For Syllogism 2F, the major premise 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 minor premise is:

Syllogistic Form 5I Given the following syllogistic form: All M are P. All M are S. Some S are P.\frac{ \text { All M are S. }}{ \text { Some S are P.}} Some S are P. All M are S. ​ -For Syllogistic Form 5I, the mood and figure is:

Syllogism 3F Given the following syllogism: Musicians are not accomplished unless they practice. Thus, Claire must not be accomplished because she never practices. -After translating Syllogism 3F into standard form, the conclusion is:

Syllogistic Form 6F Given the following syllogistic form: All M are P. No S are M All S are P. \frac{\text { No } \mathrm{S} \text { are M }}{\text { All } \mathrm{S} \text { are } \mathrm{P} \text {. }} All S are P. No S are M ​ -For Syllogistic Form 6F, the mood and figure is:

Syllogistic Form 6F Given the following syllogistic form: All M are P. No S are M All S are P. \frac{\text { No } \mathrm{S} \text { are M }}{\text { All } \mathrm{S} \text { are } \mathrm{P} \text {. }} All S are P. No S are M ​ -For Syllogistic Form 6F, after filling in the Venn diagram,

Syllogistic Form 5E Given the following syllogistic form: All P are M. SomeMareS.SomeSareP.\frac{Some Mare S.}{Some S are P.}SomeSareP.SomeMareS.​ -For Syllogistic Form 5E, the mood and figure is:

Syllogistic Form 1C Given the following syllogistic form: Some M are not P. All M are S. Some S are not P. -For Syllogistic Form 1C, the answer from the Boolean standpoint is:

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

Syllogism 4D Given the following syllogism: A few Hondas are not on sale, because the cars with green tags are not on sale and a few Hondas have green tags. -After translating Syllogism 4D into standard form, the conclusion is:

Sorites 1H Given the following sorites: All R are F. Some K are N. No R are A. No N are F Some A are not K. \frac{\text { No N are } F}{\text { Some } \mathrm{A} \text { are not } \mathrm{K} \text {. }} Some A are not K. No N are F​ -For Sorites 1H, the correct answer is:

Syllogistic Form 3I Given the following syllogistic form: Some M are not P. $\frac{\text { Some S are M . }}{\text { Some S are not P . }}$ -For Syllogistic Form 3I, the answer from the Boolean standpoint is:

Syllogistic Form 5I Given the following syllogistic form: All M are P. $\frac{ \text { All M are S. }}{ \text { Some S are P.}}$ -For Syllogistic Form 5I, the mood and figure is:

Syllogistic Form 6F Given the following syllogistic form: All M are P. $\frac{\text { No } \mathrm{S} \text { are M }}{\text { All } \mathrm{S} \text { are } \mathrm{P} \text {. }}$ -For Syllogistic Form 6F, the mood and figure is:

Syllogistic Form 5E Given the following syllogistic form: All P are M. $\frac{Some Mare S.}{Some S are P.}$ -For Syllogistic Form 5E, the mood and figure is:

Sorites 1H Given the following sorites: All R are F. Some K are N. No R are A. $\frac{\text { No N are } F}{\text { Some } \mathrm{A} \text { are not } \mathrm{K} \text {. }}$ -For Sorites 1H, the correct answer is: