Discussion
If the statement 'p' is false and the statement 'q' is true, the truth-value of the statements 'p ⊃ q' and '~ p . q' are :
Answer: A
Both 'p ⊃ q' and '~ p . q' are true.
With p false and q true:
- A material conditional is false only when its antecedent is true and its consequent false. Here the antecedent p is false, so p ⊃ q is true.
- ~ p is true (p is false), and q is true, so the conjunction ~ p . q is true.
Any option making either statement false misreads the truth tables of the horseshoe or of the dot.
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