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प्रश्न
Using the truth table statement, examine whether the statement pattern (p → q) ↔ (∼ p v q) is a tautology, a contradiction or a contingency.
उत्तर
Truth Table :
| (1) | (2) | (3) | (4) | (5) | (6) |
| P | q | ∼ p | P → q | ∼ p ∨ q | (p → q) ↔ (∼ p ∨ q) |
| T | T | F | T | T | T |
| T | F | F | F | F | T |
| F | T | T | T | T | T |
| F | F | T | T | T | T |
All entries in column (6) are T's.
∴ Given statement is a Tautoiogy.
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