\begin{tabular}{|lll|} \hlineH & K & ∣ \\ \hline & & \\ T & T & \\ T & F & \\ F & T & \\ F & F & \end{tabular} \begin{ta
Posted: Wed Jul 13, 2022 5:07 am
Construct truth tables to determine whether the following arguments are valid.
\begin{tabular}{|lll|} \hlineH & K & ∣ \\ \hline & & \\ T & T & \\ T & F & \\ F & T & \\ F & F & \end{tabular}
\begin{tabular}{|ll|l|lll} \hline X & Y & X & ∨ & Y,Y∴ & ∴X \\ \hline T & T & & & & \\ T & F & & & \\ F & T & & & & \\ F & F & & & \end{tabular}
\begin{tabular}{|lc|lllll} \hline E & S & −(E↔−S) & ∴ & E∨S \\ \hline T & T & & & \\ T & F & & \\ F & T & & \\ F & F & & & \end{tabular}
∣\begin{tabular}{cc} H & J \\ \hline T & T \\ T & F \\ F & T \\ F & F \end{tabular}
\begin{tabular}{|ccc|} \hlineP & Q & R \\ \hline & T & − \\ T & T & T \\ T & T & F \\ T & F & T \\ T & F & F \\ F & T & T \\ F & T & F \\ F & F & T \\ F & F & F \end{tabular}
\begin{tabular}{|ccc|c|} \hline D & E & G \\ \hline & & & \\ T & T & T & \\ T & T & F & \\ T & F & T & \\ T & F & F & \\ F & T & T & \\ F & T & F & \\ F & F & T & \\ F & F & F & \end{tabular}
\begin{tabular}{|lll|} \hlineH & K & ∣ \\ \hline & & \\ T & T & \\ T & F & \\ F & T & \\ F & F & \end{tabular}
\begin{tabular}{|ll|l|lll} \hline X & Y & X & ∨ & Y,Y∴ & ∴X \\ \hline T & T & & & & \\ T & F & & & \\ F & T & & & & \\ F & F & & & \end{tabular}
\begin{tabular}{|lc|lllll} \hline E & S & −(E↔−S) & ∴ & E∨S \\ \hline T & T & & & \\ T & F & & \\ F & T & & \\ F & F & & & \end{tabular}
∣\begin{tabular}{cc} H & J \\ \hline T & T \\ T & F \\ F & T \\ F & F \end{tabular}
\begin{tabular}{|ccc|} \hlineP & Q & R \\ \hline & T & − \\ T & T & T \\ T & T & F \\ T & F & T \\ T & F & F \\ F & T & T \\ F & T & F \\ F & F & T \\ F & F & F \end{tabular}
\begin{tabular}{|ccc|c|} \hline D & E & G \\ \hline & & & \\ T & T & T & \\ T & T & F & \\ T & F & T & \\ T & F & F & \\ F & T & T & \\ F & T & F & \\ F & F & T & \\ F & F & F & \end{tabular}