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Question
Verify whether the following compound propositions are tautologies or contradictions or contingency.
(p ∧ q) ∧¬ (p v q)
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Solution
| p | q | p ∧ q | p v q | ¬ (p v q) | (p ∧ q) ∧¬ (p v q) |
| T | T | T | T | F | F |
| T | F | F | T | F | F |
| F | T | F | T | F | F |
| F | F | F | F | T | F |
The entries in the last column are only F.
∴ The given statement is a contradiction
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