Construct the truth table for the statement pattern : \([(p \to q) \wedge q] \to p\)
Q.3 Construct the truth table for the statement pattern : \([(p \to q) \wedge q] \to p\)
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Answer: The last column has both T and F, so the statement pattern is a contingency.
| \(p\) | \(q\) | \(p \to q\) | \((p \to q) \wedge q\) | \([(p \to q) \wedge q] \to p\) |
|---|---|---|---|---|
| T | T | T | T | T |
| T | F | F | F | T |
| F | T | T | T | F |
| F | F | T | F | T |
The pattern is false only when \(p\) is F and \(q\) is T.
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· 29 Oct 2026
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