Truth Table/Examples/p implies (q or r)

Example of Truth Table

The truth table for the WFF of propositional logic:

$p \implies \paren {q \lor r}$:

can be depicted as:

$\begin{array}{c|c|c|c|c} p & q & r & q \lor r & p \implies \paren {q \lor r} \\ \hline \F & \F & \F & \F & \T \\ \F & \F & \T & \T & \T \\ \F & \T & \F & \T & \T \\ \F & \T & \T & \T & \T \\ \T & \F & \F & \F & \F \\ \T & \F & \T & \T & \T \\ \T & \T & \F & \T & \T \\ \T & \T & \T & \T & \T \\ \end{array}$

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: Example $1.4 \ \text{(b)}$