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Examine whether the following statement pattern is a tautology, a contradiction or a contingency. (p ∧ ~ q) → (~ p ∧ ~ q) - Mathematics and Statistics

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प्रश्न

Examine whether the following statement pattern is a tautology, a contradiction or a contingency.

(p ∧ ~ q) → (~ p ∧ ~ q)

Using truth table, examine whether the following statement pattern is a tautology, a contradiction or a contingency.

(p ∧ ~ q) → (~ p ∧ ~ q)

बेरीज
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उत्तर

p q ~p ~q p∧~q ~p∧~q (p∧~q)→(~p∧~q)
T T F F F F T
T F F T T F F
F T T F F F T
F F T T F T T

The truth values in the last column are not identical.

Hence, it is contingency.

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पाठ 1.1: Mathematical Logic - Q.4

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