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प्रश्न
Draw a truth table to verify if the following proposition is a Tautology, a contradiction, or a Contingency.
(A∧∼B)=>(~A∨B)
आकृति
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उत्तर
Truth Table
| A | B | ¬A | ¬B | A∧¬B | ¬A∨B | (A∧¬B) ⇒ (¬A∨B) |
| T | T | F | F | F | T | T |
| T | F | F | T | T | F | F |
| F | T | T | F | F | T | T |
| F | F | T | T | F | T | T |
A∧¬B is True only when A is true, and B is false.
¬A∨B is False only when A is true, and B is false.
The implication True ⇒ False in row 2 results in a False value, making this a contingent statement rather than a tautology.
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