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)]
All the entries in the last column of the above truth table are T.
∴ [(p ∧ q) ∨ (~p)] ∨ [p ∧ (~q)] is a tautology.
All the entries in the last column of the above truth table are T.
∴ [(p ∧ q) ∨ (~p)] ∨ [p ∧ (~q)] is a tautology.
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