Truth Table/Examples/(p iff (not q)) or q

Example of Truth Table

The truth table for the WFF of propositional logic:

$\paren {p \iff \paren {\lnot q} } \lor q$:

can be depicted as:

$\begin{array}{cccc|c|c} (p & \iff & (\lnot & q)) & \lor & q \\ \hline \F & \F & \T & \F & \F & \F \\ \F & \T & \F & \T & \T & \T \\ \T & \T & \T & \F & \T & \F \\ \T & \F & \F & \T & \T & \T \\ \end{array}$

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 $3 \ \text{(e)}$