Use truth tables to test the validity of the argument.
-$\begin{array}{l}
\mathrm{p} \rightarrow \mathrm{q} \
\mathrm{q}\
\hline\therefore \mathrm{p}
\end{array}$

A) Invalid
B) Valid

Question

Use truth tables to test the validity of the argument.
-$\begin{array}{l}
\mathrm{p} \rightarrow \mathrm{q} \
\mathrm{q}\
\hline\therefore \mathrm{p}
\end{array}$

A) Invalid
B) Valid

Quizplus · Accepted Answer

The argument is invalid because the truth of $q$ does not necessarily imply the truth of $p$. In a situation where $p$ is false and $q$ is true, the premises are true but the conclusion is false.

Use Truth Tables to Test the Validity of the Argument p→qq∴p\begin{array}{l}\mathrm{p} \rightarrow \mathrm{q} \\\mathrm{q}\\\hline\therefore \mathrm{p}\end{array}p→qq∴p​​

Use Truth Tables to Test the Validity of the Argument $\begin{array}{l}\mathrm{p} \rightarrow \mathrm{q} \\\mathrm{q}\\\hline\therefore \mathrm{p}\end{array}$