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Questions
Examine whether the following statement pattern is a tautology, a contradiction or a contingency.
(p ∧ ~ q) → (~ p ∧ ~ q)
Using truth table, examine whether the following statement pattern is a tautology, a contradiction or a contingency.
(p ∧ ~ q) → (~ p ∧ ~ q)
Sum
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Solution
| p | q | ~p | ~q | p ∧ ~q | ~p ∧ ~q | (p ∧ ~q)→(~p ∧ ~q) |
| T | T | F | F | F | F | T |
| T | F | F | T | T | F | F |
| F | T | T | F | F | F | T |
| F | F | T | T | F | T | T |
The truth values in the last column are not identical.
Hence, it is contingency.
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Is there an error in this question or solution?
