How well do you know Symbolic Notation?


1. For the following argument, which is the correct notation?
I knew I'd be late if I didn't hurry, but I did hurry, so I wasn't late.
a.
L H
H
Therefore, L
b.
L H
H
Therefore, L
c.
H L
L
Therefore, H
d.
H L
H
Therefore, L

2. For the following argument, which is the correct notation?
Chaos would be a lovely form of government, if men were angelic. Sadly, they are not. So, chaos is not a lovely form of government.
a.
C A
A
C
b.
A C
A
C
c.
C A
C
A
d.
A C
C
A

3. For the following argument, which is the correct notation?
Unless we can sell our stock at its peak value, we won't make money. We can sell it at its peak value only if we don't need it. So, the only way to make money is to not need it.
a.
M SP
M
SP
b.
SP M
M N
N SP
c.
M N
SP N
M SP
d.
M SP
SP N
M N

4. For the following argument, which is the correct notation?
The person who committed this crime left fingerprints all over the crime scene. Professional criminals do not leave fingerprints, so this criminal was not a professional.
a.
F
P F
P
b.
F
P F
P
c.
F P
F
P
d.
(P F)
P
F

5. For the following argument, which is the correct notation?
If one has a sense of humor, then one must possess a certain reasoning power. Furthermore, if one has that reasoning power, then one must be human. Therefore, if one has a sense of humor, one must be human.
a.
HR H
H RP
RP HR
b.
H HR
RP H
RP H
c.
RP H
HR H
H RP
d.
HR RP
RP H
HR H

6. For the following argument, which is the correct notation?
I can't both go shopping and make dinner. I have to go shopping, so I can't make dinner.
a.
(S MD)
S
MD
b.
S MD
MD
S
c.
MD
S
S MD
d.
MD S
S
MD

7. For the following argument, which is the correct notation?
Either we will launch our missles or we will order our diplomats to discuss the situation. Diplomatic discussions never work, so we should launch our missles.
a.
DD LM
LM DD
LM
b.
LM DD
DD
LM
c.
DD LM
LM
DD
d.
LM DD
DD
LM

8. For the following argument, which is the correct notation?
My friend must really be getting married. I saw her window shopping at the jewelry store. Only people who are getting married window shop at jewelry stores.
a.
GM
WS
WS GM
b.
GM WS
WS
GM
c.
WS GM
WS
GM
d.
(WS GM)
GM
WS

9. For the following argument, which is the correct notation?
If I had been in the Navy, then I would have learned how to sail correctly. But I wasn't ever in the Navy, so I cannot have learned how to sail correctly.
a.
N S
S
N
b.
N S
N
S
c.
S N
N
S
d.
N S
S
N

10. For the following argument, which is the correct notation?
If morality is instinctual, then every being with instinct would have morality. Animals have instincts, but animals do not have morality. So, morality is not instinctual.
a.
MI (IN MO)
IN
MO
MI
b.
MO
IN MO
MO MI
MI
c.
MI IN
MO
MI
IN
d.
MO IN
IN
MI
MI


Symbolic Notation | Truth Functions | Question? | Self-tests | Logic Page 1