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Show that the following statement pattern is contingency. (p → q) ↔ (~ p ∨ q) - Mathematics and Statistics

Sum

Show that the following statement pattern is contingency.

(p → q) ↔ (~ p ∨ q)

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Solution

p q ~p p→q ~p∨q (p→q)↔(~p∨q)
T T F T T T
T F F F F T
F T T T T T
F F T T T T

All the truth values in the last column are T. Hence, it is a tautology. Not contingency.

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