Examine whether the following statement pattern is a tautology, a contradiction or a contingency.
q ∨ [~ (p ∧ q)]
SOLUTION
| p | q | p ∧ q | ~ (p ∧ q) | q ∨ [~ (p ∧ q)] |
| T | T | T | F | T |
| T | F | F | T | T |
| F | T | F | T | T |
| F | F | F | T | T |
All the truth values in the last column are T. Hence, it is a tautology.
