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Show that the following statement pattern is a contingency: (p→q)∧(p→r) -

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Question

Show that the following statement pattern is a contingency:

(p→q)∧(p→r)

Sum

Solution

p q r p→q p→r (p→q)∧(p→r)
T T T T T T
T T F T F F
T F T F T F
T F F F F F
F T T T T T
F T F T T T
F F T T T T
F F F T T T

The truth values in the last column are neither all T nor all F. Hence, it is contingence.

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