SOLUTION: Use truth tables to test the validity of the argument.
p → ~q
q → ~p
∴ p ∨ q
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Question 588757: Use truth tables to test the validity of the argument.
p → ~q
q → ~p
∴ p ∨ q
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
| p |
q |
~p |
~q |
p -> ~q |
q -> ~p |
p v q |
| T |
T |
F |
F |
F |
F |
T |
| T |
F |
F |
T |
T |
T |
T |
| F |
T |
T |
F |
T |
T |
T |
| F |
F |
T |
T |
T |
T |
F |
Notice how in the columns "p -> ~q" and "q -> ~p" the last row has T and T, but the conclusion is false.
Recall that if you have an argument with all true premises, but a false conclusion, then the argument is invalid.
So the argument is invalid.
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