math

[dardy1976]

Use truth tables to test the validity of the argument.

p → ~q
q → ~p
∴ p ∨ q

 

[soroban]

Hello, dardy1976!

Use truth tables to test the validity of the argument.

p → ~q
q → ~p
∴ p ∨ q

. . \(\displaystyle \begin{array}{c|c| ccccccccccc|} p & q & [(p & \to & \sim\!q) & \wedge & (q & \to & \sim\!p)] & \to & (p & \vee & q) \\ \hline
T & T & T & F & F & F & T & F & F & \bf{T} & T & T & T \\
T & F & T & T & T & T & F & T & F & \bf{T} & T & T & F \\
F & T & F & T & F & F & T & T & T & \bf{T} & F & T & T \\
F & F & F & T & T & T & F & T & T & \bf{F} & F & F & F \\ \hline
& & 1 & 2 & 1 & 3 & 1 & 2 & 1 & 4 & 1 & 2 & 1 \end{array}\)


The argument is not valid.