Answer
The statement: “The conclusion of a sound argument is true relative to the premises, but it is also true as a separate statement removed from the premises” is true.
Work Step by Step
A valid argument with true premises is called a sound argument. The conclusion of a sound argument is true relative to the premises, but it is also true as a separate statement removed from the premises.
For example –
The argument is
If I’m tired, I’m edgy.
If I’m edgy, I’m nasty.
\[\therefore \]If I’m tired, I’m nasty.
Use a letter to represent each simple statement in the argument.
p: I’m tired.
q: I’m edgy.
r: I’m nasty.
Express the premises and conclusion symbolically as,
\[\frac{\begin{align}
& p\to q \\
& q\to r \\
\end{align}}{\therefore p\to r}\ \ \ \ \ \frac{\begin{align}
& \text{If Im tired, Im edgy}\text{.} \\
& \text{If Im edgy, Im nasty}\text{.} \\
\end{align}}{\therefore \text{If Im tired, Im nasty}\text{.}}\]
This symbolic form of argument follows the standard form, valid argument, and Transitive Reasoning.
\[\frac{\begin{align}
& p\to q \\
& q\to r \\
\end{align}}{\therefore p\to r}\]
