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Tautology

Examine wheth...

Question

Examine whether the following statement pattern is a tautology or a contradiction or a contingency.
$\sim (\sim q \land p) \land q$

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Solution

$p$ $q$ $\sim q$ $q \land \sim p$ $\sim (\sim q \land p)$ $\sim (\sim q \land p) \land q$
T T F F T F
T F T T F F
F T F F T T
F F T F T F

The entries in the last column of the above truth table are neither all T nor a F.
$∴ \sim (\sim q \land p) \land q$ is a contingency.

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