Consider the argument form:
$\begin{aligned}
& p \rightarrow \sim q \
& q \rightarrow \sim p \
\therefore \quad & p \vee q
\end{aligned}$
Use the truth table below to determine whether this form of argument is valid or invalid. Annotate the table (as appropriate) and include a few words explaining how the truth table supports your answer. $\begin{array} { | c c | | c | c | | c | c | c | }
\hline p & q & \sim p & \sim q & p \rightarrow \sim q & q \rightarrow \sim p & p \vee q \
\hline T & T & F & F & F & F & T \
\hline T & F & F & T & T & T & T \
\hline F & T & T & F & T & T & T \
\hline F & F & T & T & T & T & F \
\hline
\end{array}$

Question

Consider the argument form: 
$\begin{aligned}
& p \rightarrow \sim q \
& q \rightarrow \sim p \
\therefore \quad & p \vee q
\end{aligned}$ 
Use the truth table below to determine whether this form of argument is valid or invalid. Annotate the table (as appropriate) and include a few words explaining how the truth table supports your answer. $\begin{array} { | c c | | c | c | | c | c | c | } 
\hline p & q & \sim p & \sim q & p \rightarrow \sim q & q \rightarrow \sim p & p \vee q \
\hline T & T & F & F & F & F & T \
\hline T & F & F & T & T & T & T \
\hline F & T & T & F & T & T & T \
\hline F & F & T & T & T & T & F \
\hline
\end{array}$

Quizplus · Accepted Answer

The Answer of Consider the argument form: 
$\begin{aligned}
& p \rightarrow \sim q \
& q \rightarrow \sim p \
\therefore \quad & p \vee q
\end{aligned}$ 
Use the truth table below to determine whether this form of argument is valid or invalid. Annotate the table (as appropriate) and include a few words explaining how the truth table supports your answer. $\begin{array} { | c c | | c | c | | c | c | c | } 
\hline p & q & \sim p & \sim q & p \rightarrow \sim q & q \rightarrow \sim p & p \vee q \
\hline T & T & F & F & F & F & T \
\hline T & F & F & T & T & T & T \
\hline F & T & T & F & T & T & T \
\hline F & F & T & T & T & T & F \
\hline
\end{array}$

Consider the Argument Form p→∼qq→∼p∴p∨q\begin{aligned}& p \rightarrow \sim q \\& q \rightarrow \sim p \\\therefore \quad & p \vee q\end{aligned}∴​p→∼qq→∼pp∨q​

Consider the Argument Form $\begin{aligned}& p \rightarrow \sim q \\& q \rightarrow \sim p \\\therefore \quad & p \vee q\end{aligned}$