Unit 2:
Symbolization Exercises 2 Answers
Niko Scharer
1
UNIT 2:
SYMBOLIZATION 2
(WITH CONJUNCTION, DISJUNCTION AND BICONDITIONAL)
Answers to Exercises
P:
Polly will pass the course.
T:
Quincy will take the exam.
Q:
Quincy will pass the course.
U:
Quincy will study.
R:
Ryan will pass the course.
W:
The professor is insane.
S:
Polly will study.
V:
The course is too difficult.
S2.01
Polly and Quincy will pass the course.
P
Q
S2.02
Although the course is too difficult, Polly will pass it.
V
P
S2.03
Polly will pass the course but Quincy will not.
P
~Q
S2.04
Either the professor is insane or the course is too difficult.
W
V
S2.05
Even though Polly will study, she will not pass the course.
S
~P
S2.06
Ryan and Quincy will not both pass the course.
~ (R
Q)
OR
~R
~Q
S2.07
Neither Polly nor Quincy will study.
~ (S
U)
OR
~S
~U
S2.08
Quincy will study, take the exam and pass the course.
U
T
Q
OR
(U
T)
Q
OR
U
(T
Q)
S2.09
Only if the professor is not insane, will Quincy take the exam and pass the course.
(T
R)
~W
S2.10
If the course is too difficult, Polly will fail the course even though she studies.
V
(~P
S)
S2.11
If Polly, Quincy and Ryan all pass the course then the course is not too difficult.
(P
Q
R)
~V
OR
((P
Q)
R)
~V
OR
P
Q
R
~V
S2.12
If Polly, Quincy or Ryan passes the course then the course is not too difficult.
(P
Q
R)
~V
OR
((P
Q)
R)
~V
OR
P
Q
R
~V
S2.13
Both Quincy and Polly will study, however neither of them will pass the course.
(U
S)
~ (Q
P)
OR
(U
S)
(~Q
~P)
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View Full DocumentUnit 2:
Symbolization Exercises 2 Answers
Niko Scharer
2
S2.14
If the course is too difficult, then it is not the case that both Polly and Quincy will pass
the course.
V
~(P
Q)
OR
V
(~P
~Q)
S2.15
Polly will pass the course if and only if Quincy does.
P
Q
S2.16
Unless the professor is insane, Quincy and Polly will pass on the condition that they both
study.
W
((U
S)
(Q
P))
OR
W
(U
S
Q
P)
S2.17
Quincy will pass the course if and only if he studies and takes the exam.
Q
(U
T)
OR
Q
U
T
S2.18
If the professor is not insane and the course is not too difficult, then Polly will pass the
course if she studies.
(~W
~V)
(S
P)
S2.19
If the course is not too difficult, Quincy will take the exam and pass the course just in
case he studies.
If it is not the case that the course is too difficult then ((Quincy will take the exam
and Quincy will pass the course) if and only if Quincy will study).
~V
((T
Q)
U)
OR
PERHAPS
If it is not the case that the course is too difficult then (Quincy will take the exam and
(Quincy will pass the course) if and only if Quincy will study.))
~V
(T
(Q
U))
S2.20
Polly, Quincy or Ryan will pass the course, but the other two won’t.
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 Winter '11
 Scharer
 Philosophy, Liberalism, Niko Scharer

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