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