Question 14 Marks
Examine whether the statement pattern $(\sim p \rightarrow q) \wedge(p \wedge r)$ is a tautology or a contradiction or a contingency.
Answer
View full question & answer→Truth Table
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| p | q | r | $\sim p$ | $\sim p \rightarrow q$ | $p \wedge r$ | $(\sim p \rightarrow q) \wedge(p \wedge r)$ |
| T | T | T | F | T | T | T |
| T | T | F | F | T | F | F |
| T | F | T | F | T | T | T |
| T | F | F | F | T | F | F |
| F | T | T | T | T | F | F |
| F | T | F | T | T | F | F |
| F | F | T | T | F | F | F |
| F | F | F | T | F | F | F |
From the last column, as the truth values are not same given statement pattern is a contingency.
