In the truth table below, is the last column in the table
A) a condition statement,
B) a fallacy,
C) a tautology,
D) or none of these?
$\begin{array} { | c | c | c | c | }
\hline \boldsymbol { p } & \boldsymbol { q } & \sim \boldsymbol { p } & \boldsymbol { p } \wedge \sim \boldsymbol { p } \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$

Question

In the truth table below, is the last column in the table
A) a condition statement,
B) a fallacy,
C) a tautology,
D) or none of these?
$\begin{array} { | c | c | c | c | } 
\hline \boldsymbol { p } & \boldsymbol { q } & \sim \boldsymbol { p } & \boldsymbol { p } \wedge \sim \boldsymbol { p } \
\hline 1 & 1 & & \
\hline 1 & 0 & & \
\hline 0 & 1 & & \
\hline 0 & 0 & & \
\hline
\end{array}$

Quizplus · Accepted Answer

The last column represents $ p \wedge \sim p $, which is always false regardless of the truth values of $ p $. This makes it a fallacy, as it cannot be true under any interpretation.

In the Truth Table Below, Is the Last Column in the Table