Review Test Submission: Module E Exam: Categorical Syllogisms
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Course 
PHIL109.W01_Winter Minisemester 2019 
Test 
Module E Exam: Categorical Syllogisms 






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Completed 
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57 minutes out of 1 hour 
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Assuming the traditional view of existential import, how many categorical syllogism forms are valid? 



Selected Answer: 
d.
24 
Answers: 
a.
150 

b.
35 

c.
70 

d.
24 

e.
All forms are valid. 







The predicate term is distributed in propositions that are: 



Selected Answer: 
c.
negative 
Answers: 
a.
particular 

b.
affirmative 

c.
negative 

d.
true 

e.
universal 







If the middle term is the subject of both the major and minor premises, then the syllogism’s figure is: 



Selected Answer: 
e.
1 
Answers: 
a.
3 

b.
4 

c.
5 

d.
2 

e.
1 







Suppose that in the Venn diagram of the premises of a categorical syllogism, there is an X on the line between areas 2 and 3. But in the diagram of the conclusion, the X is on the line between areas 2 and 5. Is the syllogism valid? 



Selected Answer: 
d.
Yes, because if something exists in either area 2 or area 3, then necessarily something exists in area 2 or area 5. 
Answers: 
a.
No, because proving that something exists either in area 2 or area 3 is not enough to prove that something exists either in area 2 or area 5 (it could exist only in area 3). 

b.
No, because the Xs are not in precisely the same place in the two diagrams, which is a requirement for validity. 

c.
Yes, because there is no shading to consider. 

d.
Yes, because if something exists in either area 2 or area 3, then necessarily something exists in area 2 or area 5. 

e.
Yes, because the two Xs border the same area, area 2. 







The mood of a categorical syllogism is a(n): 



Selected Answer: 
b.
list of the forms of its premises and conclusion 
Answers: 
a.
estimation of how listeners will feel about the conclusion 

b.
list of the forms of its premises and conclusion 

c.
determination of whether the conclusion is true or false 

d.
list of the subjects of the premises and conclusion 

e.
indication of where the middle term appears in the premises 







The fourth rule of validity is that: 



Selected Answer: 
c.
if there is a negative premise, then there must be a negative conclusion, and if there is a negative conclusion, then there must be a negative premise 
Answers: 
a.
if there are two negative premises, then there must be an affirmative conclusion, and if there is an affirmative conclusion, then both premises must be negative 

b.
if the major premise is affirmative, then the conclusion must be negative 

c.
if there is a negative premise, then there must be a negative conclusion, and if there is a negative conclusion, then there must be a negative premise 

d.
if the minor premise is affirmative, then the conclusion must be negative 

e.
if one premise is negative, then the other premise must also be negative 







What is the unstated conclusion in the following syllogism?
Whoever stayed home had to take care of the dog, and I was the only one who stayed home. 



Selected Answer: 
b.
I had to take care of the dog. 
Answers: 
a.
Someone had to take care of the dog. 

b.
I had to take care of the dog. 

c.
Everyone else went out. 

d.
Someone had to stay home. 

e.
We have a dog. 







What is the form of the following syllogism?
All fish are animals.
All trout are fish.
All trout are animals. 



Selected Answer: 
b.
AAA1 
Answers: 
a.
EEE3 

b.
AAA1 

c.
AAA3 

d.
EEE1 

e.
III1 







Can a valid syllogism have false premises? 



Selected Answer: 
d.
No, since a false premise would render the syllogism invalid. 
Answers: 
a.
It could have one false premise, but not two. 

b.
Yes, because valid arguments can have true or false premises. 

c.
Yes, but the conclusion would also be false. 

d.
No, since a false premise would render the syllogism invalid. 

e.
Yes, but they would both have to be false. 







The following Venn diagrams were constructed using the traditional view of existential import. Is the syllogism valid?




Selected Answer: 
c.
Yes. 
Answers: 
a.
No, because the premises clearly show that all Ss are Ms, but the conclusion only shows that this might be true. 

b.
There is not enough information to determine the answer. 

c.
Yes. 

d.
No, because there are more Xs in the premises than in the conclusion. 

e.
No, because there is shading in the premises that does not appear in the conclusion. 







A syllogism is an argument with how many premises? 



Selected Answer: 
e.
two 
Answers: 
a.
three 

b.
none 

c.
four or more 

d.
one 

e.
two 







How many of the five rules of validity require us to examine both the premises and the conclusion? 



Selected Answer: 
d.
3 
Answers: 
a.
4 

b.
2 

c.
5 

d.
3 

e.
0 







What is the unstated conclusion in the following syllogism?
Anyone who drives a car across the police department lawn is looking for trouble. That’s what Mitch did last night. 



Selected Answer: 
b.
Mitch was looking for trouble. 
Answers: 
a.
Mitch was arrested last night. 

b.
Mitch was looking for trouble. 

c.
Mitch owns a car. 

d.
Mitch has a driver’s license. 

e.
Mitch is a police officer. 







Is it possible to form an argument from four different categorical propositions? 



Selected Answer: 
e.
Yes, but the argument would not be a syllogism. 
Answers: 
a.
No, because there would have to be more than one middle term. 

b.
No, because only three propositions may be used in any categorical argument. 

c.
Yes, but only if two of the propositions are conclusions. 

d.
No, because there cannot be four different categorical propositions about the same set of terms. 

e.
Yes, but the argument would not be a syllogism. 







What proposition is represented by the following Venn diagram? 



Selected Answer: 
e.
No M is P. 
Answers: 
a.
All M are P. 

b.
All S are M. 

c.
Some S are not M. 

d.
Some P are M. 

e.
No M is P. 







Standard Venn diagrams assume the modern understanding of existential import. So if the Venn diagram of an enthymeme’s conclusion involves an X, and the Venn diagram of one premise involves an X, then the missing premise must be: 



Selected Answer: 
b.
false 
Answers: 
a.
particular 

b.
false 

c.
universal 

d.
negative 

e.
affirmative 







Is this syllogism valid?




Selected Answer: 
e.
No, because there is shading in the premises that does not appear in the conclusion. 
Answers: 
a.
No, because the premises make a narrower claim than the conclusion. 

b.
There is not enough information to determine the answer. 

c.
No, because the X in the premises is not in the same place as the X in the conclusion. 

d.
Yes. 

e.
No, because there is shading in the premises that does not appear in the conclusion. 







If we assume the traditional view of existential import, why is the following syllogism invalid?
All of my uncles have difficult jobs.
All of my uncles are coal miners.
All coal miners have difficult jobs. 



Selected Answer: 
c.
illicit minor term 
Answers: 
a.
undistributed middle 

b.
negative premise with affirmative conclusion, or negative conclusion with no negative premise 

c.
illicit minor term 

d.
two negative premises 

e.
illicit major term 







What proposition is the missing premise of this enthymeme?




Selected Answer: 
d.
All M are S. 
Answers: 
a.
Some S are not M. 

b.
No M is S. 

c.
No M is P. 

d.
All M are S. 

e.
Some S are M. 







If we were given a list of three terms used in a categorical syllogism, and also the major premise, could we determine which is the major term, which is the minor term, and which is the middle term? 



Selected Answer: 
e.
We could only determine which is the minor term. 
Answers: 
a.
We could only determine which is the middle term. 

b.
We could only determine which is the major term and which is the middle term. 

c.
We could determine which is which for all three terms. 

d.
We could only determine which is the major term. 

e.
We could only determine which is the minor term. 







The fifth rule of validity, used only if we adopt the modern view of existential import, is that: 



Selected Answer: 
e.
if the conclusion is particular, then one premise must be particular 
Answers: 
a.
if the conclusion is particular, then both premises must be particular 

b.
if either premise is particular, then the conclusion must be particular 

c.
if both premises are universal, then the conclusion must be particular 

d.
if both premises are particular, then the conclusion must be particular 

e.
if the conclusion is particular, then one premise must be particular 







Is the following syllogism valid?
Some unpopular things are high quality.
All TV shows canceled after one season are unpopular.
Some TV shows canceled after one season are high quality. 



Selected Answer: 
b.
No, regardless of whether we take the traditional or modern view of existential import. 
Answers: 
a.
Yes, regardless of whether we take the traditional or modern view of existential import. 

b.
No, regardless of whether we take the traditional or modern view of existential import. 

c.
Yes if we take the traditional view of existential import, but no if we take the modern view. 

d.
Yes if we take the modern view of existential import, but no if we take the traditional view. 

e.
There is not enough information to determine the answer. 







Can a valid argument have a false conclusion? 



Selected Answer: 
c.
Yes, because valid arguments can have true or false conclusions. 
Answers: 
a.
Yes, because valid arguments always have false conclusions. 

b.
No, because conclusions are never true or false. 

c.
Yes, because valid arguments can have true or false conclusions. 

d.
No, because then it wouldn’t be valid. 

e.
Yes, but only if there are more than two premises. 







If we assume the traditional view of existential import, why is the following syllogism invalid?
All millionaires are wellpaid people.
All wellpaid people are good at their jobs.
Some people who are good at their jobs are not millionaires. 



Selected Answer: 
d.
negative premise with affirmative conclusion, or negative conclusion with no negative premise 
Answers: 
a.
illicit major term 

b.
illicit minor term 

c.
two negative premises 

d.
negative premise with affirmative conclusion, or negative conclusion with no negative premise 

e.
undistributed middle 







If we were given a list of three terms used in a categorical syllogism, and also the conclusion, could we determine which is the major term, which is the minor term, and which is the middle term? 



Selected Answer: 
c.
We could only determine which is the major term. 
Answers: 
a.
We could determine which is which for all three terms. 

b.
We could only determine which is the minor term. 

c.
We could only determine which is the major term. 

d.
We could only determine which is the middle term. 

e.
We could only determine which is the major term and which is the minor term. 



