Question
Determine whether the following statement patterns is a tautology or a contradiction or a contingency:
[p → (~q ∨ r)] ↔ ~[p → (q → r)]
[p → (~q ∨ r)] ↔ ~[p → (q → r)]
✓
Answer
[p → (~q ∨ r)] ↔ ~[p → (q → r)]
All the entries in the last column of the above truth table are F.
∴ [p → (~q ∨ r)] ↔ ~[p → (q → r)] is a contradiction.
All the entries in the last column of the above truth table are F.
∴ [p → (~q ∨ r)] ↔ ~[p → (q → r)] is a contradiction.
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