Consider the Argument Form $\begin{aligned}& p \rightarrow \sim q \\& q \rightarrow \sim p \\\therefore \quad & p \vee q\end{aligned}$

question 27

Essay

Consider the argument form:
$\begin{aligned}& p \rightarrow \sim q \\& q \rightarrow \sim p \\\therefore \quad & p \vee q\end{aligned}$
Use the truth table below to determine whether this form of argument is valid or invalid. Annotate the table (as appropriate) and include a few words explaining how the truth table supports your answer. $\begin{array} { | c c | | c | c | | c | c | c | } \hline p & q & \sim p & \sim q & p \rightarrow \sim q & q \rightarrow \sim p & p \vee q \\\hline T & T & F & F & F & F & T \\\hline T & F & F & T & T & T & T \\\hline F & T & T & F & T & T & T \\\hline F & F & T & T & T & T & F \\\hline\end{array}$

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Definitions:

Main Goals

The primary objectives or aims that an individual, organization, or project seeks to achieve, serving as the focal points for strategic planning and action.

Political Participation

The activities engaged by citizens to influence the selection of political leaders or the policies they pursue.

Declining Trust

The phenomenon where public confidence in institutions, such as the government, media, or corporations, decreases over time.

Political Identification

An individual’s affiliation with a particular political party or stance often shaped by personal beliefs, values, and social influences.