Question 1

Sorites 1F
Given the following sorites:
Some Q are K.
All E are L.
No K are B.
$\frac{\text { All } L \text { are } B \text {. }}{\text { Some } Q \text { are not } E \text {. }}$
-Given the following sorites: All N are P.
Some N are F.
All F are R.
$\frac{\text { All } R \text { are } A \text {. }}{\text { Some } A \text { are not } P \text {. }}$
This sorites is:

Accepted Answer

A)  Invalid because one of the middle terms is undistributed. 
B)  Invalid because it has affirmative premises and a negative conclusion. 
C)  Invalid because it has three universal premises and a particular conclusion. 
D)  Valid because a particular premise requires a particular conclusion. 
E)  Valid because no rules are broken.

Question 2

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 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.

Question 3

Syllogism 4E
Given the following syllogism:
Spencer is happy whenever he wins at poker, and he won tonight. Thus, Spencer is happy tonight.
-For Syllogism 4E, the minor premise is:

Accepted Answer

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

Question 4

Syllogism 3I
Given the following syllogism:
Taffy must not be a dog because Taffy climbs trees and dogs never climb trees.
-After translating Syllogism 3I into standard form, the conclusion is:

Accepted Answer

A)  All animals identical to Taffy are not dogs. 
B)  All cats are animals that climb trees. 
C)  No animals identical to Taffy are dogs. 
D)  All animals identical to Taffy are animals that climb trees. 
E)  No dogs are animals that climb trees.

Question 5

Syllogism 1G
Given the following syllogism:
Some bad judges are lawyers, since some lawyers are prejudiced magistrates, and all good judges are unprejudiced magistrates.
-After reducing the number of terms in Syllogism 1G, the conclusion is:

Accepted Answer

A)  Some L are G. 
B)  Some G are not L. 
C)  No G are P. 
D)  Some L are not G. 
E)  All G are P.

Question 6

Syllogism 4E
Given the following syllogism:
Spencer is happy whenever he wins at poker, and he won tonight. Thus, Spencer is happy tonight.
-For Syllogism 4E, the major premise is:

Accepted Answer

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

Question 7

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,

Accepted Answer

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.

Question 8

Syllogism 1A
Given the following syllogism:
No untalented bards are compelling writers, so some uncompelling writers are not uninspired poets, for some inspired poets are talented bards.
-For Syllogism 1A, the major premise is:

Accepted Answer

A)  All talented bards are compelling writers. 
B)  Some talented bards are not inspired poets. 
C)  No compelling writers are untalented bards. 
D)  Some inspired poets are talented bards. 
E)  All compelling writers are talented bards.

Question 9

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

Accepted Answer

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

Question 10

Sorites 1F
Given the following sorites:
Some Q are K.
All E are L.
No K are B.
$\frac{\text { All } L \text { are } B \text {. }}{\text { Some } Q \text { are not } E \text {. }}$
-For Sorites 1F, the second intermediate conclusion is:

Accepted Answer

A)  Some Q are not B. 
B)  Some Q are not L. 
C)  No K are E. 
D)  All E are B. 
E)  No B are E.

Question 11

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:

Accepted Answer

A)  EAA-3. 
B)  AII-2. 
C)  AEE-3. 
D)  AOO-3. 
E)  AEE-2.

Question 12

Syllogistic Form 2F
Given the following syllogistic form:
Some P are M.
$\frac{\text { All M are } \mathrm{S} \text {. }}{\text { Some } \mathrm{S} \text { are } \mathrm{P} \text {. }}$
-For Syllogistic Form 2F, the answer from the Boolean standpoint is:

Accepted Answer

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

Question 13

Syllogistic Form 3C
Given the following syllogistic form:
All M are P.
No S are M.
 
All S are P.
-For Syllogistic Form 3C, the answer from the Boolean standpoint is:

Accepted Answer

A)  Invalid, illicit minor. 
B)  Invalid, drawing an affirmative conclusion from a negative premise. 
C)  Invalid, existential fallacy. 
D)  Invalid, exclusive premises. 
E)  Invalid, drawing a negative conclusion from affirmative premises.

Question 14

Syllogistic Form 4G
Given the following syllogistic form:
No M are P.
$\frac{\text { All } \mathrm{M} \text { are } \mathrm{S} \text {. }}{\text { Some } \mathrm{S} \text { are not } \mathrm{P} \text {. }}$
-For Syllogistic Form 4G, after filling in the Venn diagram,

Accepted Answer

A)  Areas 2, 3, and 4 are shaded, and there is an X in area 1. 
B)  Areas 2, 3, 6, and 7 are shaded, and there is an X in area 5. 
C)  Areas 1 and 4 are shaded, and there is an X on the line between areas 2 and 5. 
D)  Areas 1, 3, and 4 are shaded, and there is an X on the line between areas 2 and 5. 
E)  Areas 1, 3, and 4 are shaded.

Question 15

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 minor premise is:

Accepted Answer

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

Question 16

Syllogistic Form 1G
Given the following syllogistic form:
All $ \mathrm{M} $ are $ \mathrm{P} $. 
Some $ \mathrm{S} $ are $ \mathrm{M} $. 
$\overline {\text{Some S are not} \mathrm{P}} $.
-For Syllogistic Form 1G, the correct mood and figure is:

Accepted Answer

A)  AIO-1 
B)  EIO-1 
C)  AIO-4 
D)  IAO-3 
E)  OIA-4

Question 17

Syllogism 1D
Given the following syllogism:
All unrewarding occupations are unsatisfying jobs, because no meaningless employments are satisfying jobs and all meaningful employments are rewarding occupations.
-For Syllogism 1D, the minor premise is:

Accepted Answer

A)  All satisfying jobs are meaningful employments. 
B)  All satisfying jobs are rewarding occupations. 
C)  No meaningful employments are unrewarding occupations. 
D)  No satisfying jobs are meaningless employments. 
E)  All meaningful employments are rewarding occupations.

Question 18

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

Question 19

Syllogistic Form 4F
Given the following syllogistic form:
Some P are not M.
$\frac{\text { All Mare S. }}{\text { Some } \mathrm{S} \text { are not } \mathrm{P} \text {. }}$
-For Syllogistic Form 4F, the answer from the Boolean standpoint is:

Accepted Answer

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

Question 20

Syllogistic Form 3A
Given the following syllogistic form:
No P are M.
All M are S.
 
No S are P.
-For Syllogistic Form 3A, the mood and figure is:

Accepted Answer

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

Exam 5: Categorical Syllogisms

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 answer from the Boolean standpoint is:

Syllogism 4E Given the following syllogism: Spencer is happy whenever he wins at poker, and he won tonight. Thus, Spencer is happy tonight. -For Syllogism 4E, the minor premise is:

Syllogism 3I Given the following syllogism: Taffy must not be a dog because Taffy climbs trees and dogs never climb trees. -After translating Syllogism 3I into standard form, the conclusion is:

Syllogism 1G Given the following syllogism: Some bad judges are lawyers, since some lawyers are prejudiced magistrates, and all good judges are unprejudiced magistrates. -After reducing the number of terms in Syllogism 1G, the conclusion is:

Syllogism 4E Given the following syllogism: Spencer is happy whenever he wins at poker, and he won tonight. Thus, Spencer is happy tonight. -For Syllogism 4E, the major premise 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,

Syllogism 1A Given the following syllogism: No untalented bards are compelling writers, so some uncompelling writers are not uninspired poets, for some inspired poets are talented bards. -For Syllogism 1A, the major premise is:

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

Sorites 1F Given the following sorites: Some Q are K. All E are L. No K are B. $\frac{\text { All } L \text { are } B \text {. }}{\text { Some } Q \text { are not } E \text {. }}$ -For Sorites 1F, the second intermediate conclusion 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 2F Given the following syllogistic form: Some P are M. $\frac{\text { All M are } \mathrm{S} \text {. }}{\text { Some } \mathrm{S} \text { are } \mathrm{P} \text {. }}$ -For Syllogistic Form 2F, the answer from the Boolean standpoint is:

Syllogistic Form 3C Given the following syllogistic form: All M are P. No S are M. All S are P. -For Syllogistic Form 3C, the answer from the Boolean standpoint 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 minor premise is:

Syllogistic Form 1G Given the following syllogistic form: All $\mathrm{M}$ are $\mathrm{P}$ . Some $\mathrm{S}$ are $\mathrm{M}$ . $\overline {\text{Some S are not} \mathrm{P}}$ . -For Syllogistic Form 1G, the correct mood and figure is:

Syllogism 1D Given the following syllogism: All unrewarding occupations are unsatisfying jobs, because no meaningless employments are satisfying jobs and all meaningful employments are rewarding occupations. -For Syllogism 1D, the minor premise 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 4F Given the following syllogistic form: Some P are not M. $\frac{\text { All Mare S. }}{\text { Some } \mathrm{S} \text { are not } \mathrm{P} \text {. }}$ -For Syllogistic Form 4F, the answer from the Boolean standpoint is:

Syllogistic Form 3A Given the following syllogistic form: No P are M. All M are S. No S are P. -For Syllogistic Form 3A, the mood and figure is: