Q#1: Use the truth table to test the validity of the
following argument
If you invest in the HBFC, then you get rich.
You didn’t invest in the HBFC.
Therefore, you didn’t get rich. Mark=5
Answer
:
Step
1:
First symbolize the argument.
Let p be the argument “you invest in the
HBFC.”
Let q be the argument “you get rich.”
Then the argument has this symbolic form.
Step 2:
Make
a truth table having a column for each premise and for the conclusion.
P
|
q
|
|||
T
|
T
|
T
|
F
|
F
|
T
|
F
|
F
|
F
|
T
|
F
|
T
|
T
|
T
|
F
|
F
|
F
|
T
|
T
|
T
|
Step 3:
Interpret
the truth table.
Notice
that in the third row, the conclusion is FALSE while both premise are TRUE.
This
tells us the argument is INVALID.
is tautology.
Mark=5