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

EXERCISE 1.6Q 2.2   PAGE 16
Exercise 1.6 | Q 2.2 | Page 16
Examine whether the following statement pattern is a tautology, a contradiction or a contingency.  (~ q ∧ p) ∧ (p ∧ ~ p)
Examine whether the following statement pattern is a tautology, a contradiction or a contingency.  (~ q ∧ p) ∧ (p ∧ ~ p)


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

(~ q ∧ p) ∧ (p ∧ ~ p)


SOLUTION

pq~p~q(~q∧p)(p∧~p)(~q∧p)∧(p∧~p)
TTFFFFF
TFFTTFF
FTTFFFF
FFTTFFF

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