QuestionWhich of the following arguments is not valid? $\frac{\neg(p \rightarrow q)}{\therefore \neg q}$ $\frac{p}{q} \begin{array}{l}\therefore p \leftrightarrow q\end{array}$ $p \vee q$ $\frac{p}{\therefore q}$ $p \leftrightarrow q$ $\frac{p \vee q}{\therefore p}$

Studdy Solution
Evaluate the argument $\frac{p \vee q}{\therefore p}$.
- The premise is $p \vee q$. - The conclusion is $p$. - From $p \vee q$, we cannot conclude $p$ without knowing the truth value of $q$. - This argument is not valid.
The arguments that are not valid are:
1. $\frac{p}{q} \begin{array}{l}\therefore p \leftrightarrow q\end{array}$
2. $\frac{p}{\therefore q}$
3. $\frac{p \vee q}{\therefore p}$