Truth Table/Examples/p implies (q implies r)
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Example of Truth Table
The truth table for the WFF of propositional logic:
- $p \implies \paren {q \implies r}$:
can be depicted as:
$\begin{array}{c|c|ccc} p & \implies & (q & \implies & r) \\ \hline \F & \T & \F & \T & \F \\ \F & \T & \F & \T & \T \\ \F & \T & \T & \F & \F \\ \F & \T & \T & \T & \T \\ \T & \T & \F & \T & \F \\ \T & \T & \F & \T & \T \\ \T & \F & \T & \F & \F \\ \T & \T & \T & \T & \T \\ \end{array}$
Sources
- 1988: Alan G. Hamilton: Logic for Mathematicians (2nd ed.) ... (previous) ... (next): $\S 1$: Informal statement calculus: $\S 1.2$: Truth functions and truth tables: Exercises $3 \ \text{(c)}$