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:

Divisional Structure

An organizational format where operations are grouped based on distinct products or services, markets, or geographic areas, facilitating specialization and flexibility.

Environmental Changes

Alterations in the natural or built environment, often due to human activities or natural processes.

Duplication of Resources

The unnecessary repetition of tools, equipment, or human resources within an organization, leading to inefficiency.

Social Network Analysis

A methodological approach used to analyze social structures through the use of networks and graph theory, identifying how individuals and groups interact.