Show that the following statement pattern is contingency. (p∧~q) → (~p∧~q)

EXERCISE 1.6Q 5.1   PAGE 16
Exercise 1.6 | Q 5.1 | Page 16

Show that the following statement pattern is contingency.  (p∧~q) → (~p∧~q)


Show that the following statement pattern is contingency.

(p∧~q) → (~p∧~q)


SOLUTION

pq~p~qp∧~q~p∧~q(p∧~q)→(~p∧~q)
TTFFFFT
TFFTTFF
FTTFFFT
FFTTFTT

The truth values in the last column are not identical. Hence, it is contingency.