SENTENTIAL LOGIC
EXERCISE: Translating
1.
Either Laura is the best decorator in the family or her sister, Martha,
isn’t telling the truth and I am disappointed.
D V (~M & I)
2.
It’s not true that Antonio’s first language was Spanish. In fact, it was
French, since he was raised in Belgium during World War II.
SF-
Antonio’s first language was Spanish.
In fact, it was French, since he was raised in Belgium during
World War II
~S
F
3.
During the Spanish Civil War many families sent their children to
England to keep them safe but, some children were abused on the
boat and they were not adopted.
S-
During the Spanish Civil War many families sent their children
to England to keep them safe
C-
Some children were abused on the boat
A–
Some children were adopted
S & (C & ~A)
4.
If you didn’t grow up speaking English it is difficult to understand
many jokes made in English but, if you watch enough television, you
can learn many of those jokes.
G-
You grew up speaking English
J-
It is difficult to understand many jokes made in English
T-
You watch enough television
L-
You can learn many of those jokes
(~G  J) & (T  L)
5.
It is not the case that either Edward or Ruth Ann lived long enough to
see their grandchildren, but they would have enjoyed them greatly.
6.
Beverly’s cat purrs only if she is being petted or she is eating caviar.
Beverly’s cat is eating caviar. Beverly’s cat isn’t purring.
R - Beverly’s cat purrs
P - Beverly’s cat is being petted.
C - Beverly’s cat is eating caviar.
R  (P V C)
C
 ~R
7.
If the college budget is cut then either the number of sections of each
class will have to decrease or we will have to accept fewer students,
but if the professors are innovative, they might be able to maintain the
quality of instruction.
8.
If all of the three ethics professors in the department work hard then
the department will be able to put on many interesting talks and the
budget might not be cut.
9.
If Wang is unhappy with is grade then he must have gotten less than
an A, which can only happen if and only if he got less than 90 points
in the course and was not able to receive an incomplete.
10.
Ricardo wanted to get his law degree in three years so that he could
get a job quickly but he discovered that some skills are difficult to
acquire and you can’t rush certain types of learning.
11.
Some people in this group think that it is possible to believe in God
and yet still accept the theory of evolution as an account of the
development of humankind. Other people think that, if you accept
evolution, you cannot believe in God. No one believes in God in this
group.