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

EXERCISE 1.6Q 2.4   PAGE 16
Exercise 1.6 | Q 2.4 | Page 16

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

~ p → (p → ~ q)


SOLUTION

pq~p~qp→~q~p→(p→~q)
TTFFFT
TFFTTT
FTTFTT
FFTTTT

All the truth values in the last column are T. Hence, it is tautology.