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Prove that the following statement pattern is a contradiction. (p ∧ q) ∧ ~p - Mathematics and Statistics

Sum

Prove that the following statement pattern is a contradiction.

(p ∧ q) ∧ ~p

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Solution

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

All the truth values in the last column are F. Hence, it is a contradiction.

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