Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $$\begin{array} { l }
( \mathrm { Z } \supset \mathrm { Y } ) \supset \mathrm { X } \
\mathrm { Z } \supset \mathrm { W } \
\sim \mathrm { Y } \supset \sim \mathrm { W } \
\mathrm { V } \vee \mathrm { X }
\end{array}$$

Question

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $$\begin{array} { l } 
( \mathrm { Z } \supset \mathrm { Y } ) \supset \mathrm { X } \
\mathrm { Z } \supset \mathrm { W } \
\sim \mathrm { Y } \supset \sim \mathrm { W } \
\mathrm { V } \vee \mathrm { X }
\end{array}$$

Quizplus · Accepted Answer

The argument is valid because there is no set of truth values that makes all the premises true and the conclusion false, which is the condition for an argument to be invalid. Each premise leads logically to the conclusion, and there is no counterexample provided by the options that would demonstrate invalidity.

Use a Short Form Truth Table to Answer the Following