Question

Two more classic, common, and useful argument forms combine conditionals with disjunction. Using truth tables, test them for validity. $$ \begin{array}{ll} \text { Constructive Dilemma } & \text { Destructive Dilemma } \\ p \vee q & \sim p \vee \sim q \\ p \supset r & r \supset p \\ q \supset r & r \supset q \\ \hline \therefore r & \therefore \sim r \end{array} $$

   Two more classic, common, and useful argument forms combine conditionals with disjunction. Using truth tables, test them for validity.
$$
\begin{array}{ll}
\text { Constructive Dilemma } & \text { Destructive Dilemma } \\
p \vee q & \sim p \vee \sim q \\
p \supset r & r \supset p \\
q \supset r & r \supset q \\
\hline \therefore r & \therefore \sim r
\end{array}
$$

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Cengage Advantage Books: Understanding Arguments: An Introduction to Informal Logic

Cengage Advantage Books: Understanding Arguments: An Introduction to Informal Logic

Walter… 9th Edition

Chapter 6, Problem 23

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Step 1

Let \( p \), \( q \), and \( r \) be propositional variables that can take the values true (T) or false (F). Step 2: Construct the truth tables for the Constructive Dilemma and the Destructive Dilemma. We will evaluate the truth values of the premises and the Show more…

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Two more classic, common, and useful argument forms combine conditionals with disjunction. Using truth tables, test them for validity. $$ \begin{array}{ll} \text { Constructive Dilemma } & \text { Destructive Dilemma } \\ p \vee q & \sim p \vee \sim q \\ p \supset r & r \supset p \\ q \supset r & r \supset q \\ \hline \therefore r & \therefore \sim r \end{array} $$

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