Determine the validity of the following argument.
$\begin{array} { l }
\sim p \vee q \
\frac { q \rightarrow \sim r } { \therefore \sim r }
\end{array}$
A) Invalid
B) Valid

Question

Determine the validity of the following argument.
$\begin{array} { l } 
\sim p \vee q \
\frac { q \rightarrow \sim r } { \therefore \sim r }
\end{array}$
A) Invalid
B) Valid

Quizplus · Accepted Answer

The argument is invalid because the premises do not necessarily lead to the conclusion. Even if $ q \rightarrow \sim r $ is true, $ q $ could be false, making $ \sim r $ not necessarily true.

Determine the Validity of the Following Argument ∼p∨qq→∼r∴∼r\begin{array} { l } \sim p \vee q \\\frac { q \rightarrow \sim r } { \therefore \sim r }\end{array}∼p∨q∴∼rq→∼r​​

Determine the Validity of the Following Argument $\begin{array} { l } \sim p \vee q \\\frac { q \rightarrow \sim r } { \therefore \sim r }\end{array}$