Question
Determine whether the following statement patterns is a tautology or a contradiction or a contingency:
[(~p ∧ q) ∧ (q ∧ r)] ∨ (~q)
[(~p ∧ q) ∧ (q ∧ r)] ∨ (~q)
✓
Answer
[(~p ∧ q) ∧ (q ∧ r)] ∨ (~q)
The entries in the last column of the above truth table are neither all T nor all F.
∴ [(~p ∧ q) ∧ (q ∧ r)] ∨ (~q) is a contingency.
The entries in the last column of the above truth table are neither all T nor all F.
∴ [(~p ∧ q) ∧ (q ∧ r)] ∨ (~q) is a contingency.
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