Truth Table/Examples/(not p) and (not q)

Example of Truth Table

The truth table for the WFF of propositional logic:

$\paren {\lnot p} \land \paren {\lnot q}$:

can be depicted as:

$\begin{array}{cc|c|cc} (\lnot & p) & \land & (\lnot & q) \\ \hline \T & \F & \T & \T & \F \\ \T & \F & \F & \F & \T \\ \F & \T & \F & \T & \F \\ \F & \T & \F & \F & \T \\ \end{array}$

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 $3 \ \text{(a)}$