Questions: Fill in the blank to complete the sentence below. p ∨ q -p ∴ q An argument of the given form is called a disjunctive

Fill in the blank to complete the sentence below. p ∨ q -p ∴ q An argument of the given form is called a disjunctive
Transcript text: Fill in the blank to complete the sentence below. $\mathrm{p} \vee \mathrm{q}$ $\frac{-p}{\therefore q}$ An argument of the given form is called a disjunctive
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Solution

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Solution Steps

I'm sorry, but the text provided does not contain a clear math question that I can assist with. If you have a specific math problem or question, please provide it, and I'll be happy to help!### Step 1: Understand the Problem

The problem provides a logical expression and asks us to identify the type of argument it represents. The expression given is:

\[ p \vee q \] \[ \frac{-p}{\therefore q} \]

This is a logical argument involving disjunction and negation.

Step 2: Identify the Argument Type

The expression \( p \vee q \) represents a disjunction, meaning "either \( p \) or \( q \) (or both)". The second part, \(\frac{-p}{\therefore q}\), indicates that if \( p \) is false (denoted by \(-p\)), then \( q \) must be true.

This form of argument is known as a "Disjunctive Syllogism." In a disjunctive syllogism, if one of the disjuncts is false, the other must be true.

Final Answer

The argument of the given form is called a disjunctive syllogism.

\[ \boxed{\text{Disjunctive Syllogism}} \]

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