Construct a Truth Table for the Statement $( p \rightarrow q ) \rightarrow ( \sim p \vee q )$

question 253

Multiple Choice

Construct a truth table for the statement.
- $( p \rightarrow q ) \rightarrow ( \sim p \vee q )$

• A) \(\begin{array}{ccc} \mathrm{p} & \mathrm{q} & (\mathrm{p} \rightarrow \mathrm{q}) \rightarrow(\sim \mathrm{p} \vee \mathrm{q}) \\ \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\ \mathrm{T} & \mathrm{F} & \mathrm{F} \\ \mathrm{F} & \mathrm{T} & \mathrm{T} \\ \mathrm{F} & \mathrm{F} & \mathrm{T} \end{array}\)
• B) \(\begin{array}{ccc} \mathrm{p} & \mathrm{q} & (\mathrm{p} \rightarrow \mathrm{q}) \rightarrow(\sim \mathrm{p} V \mathrm{q}) \\ \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\ \mathrm{T} & \mathrm{F} & \mathrm{F} \\ \mathrm{F} & \mathrm{T} & \mathrm{T} \\ \mathrm{F} & \mathrm{F} & \mathrm{F} \end{array}\)
• D) \(\begin{array}{ccc} \mathrm{p} & \mathrm{q} & (\mathrm{p} \rightarrow \mathrm{q}) \rightarrow(\sim \mathrm{p} \vee \mathrm{q}) \\ \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\ \mathrm{T} & \mathrm{F} & \mathrm{T} \\ \mathrm{F} & \mathrm{T} & \mathrm{T} \\ \mathrm{F} & \mathrm{F} & \mathrm{T} \end{array}\)

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Definitions:

Political Ramifications

The consequences or effects on the political landscape that result from actions, decisions, or policies.

Social Constructionism

Emphasizes that social problems do not emerge spontaneously. Instead, they are contested phenomena whose prominence depends on the ability of supporters and detractors to make the public aware of them.

Biodiversity

Refers to the enormous variety of plant and animal species inhabiting Earth.

Evolution

Is the process by which different kinds of living organisms are thought to have developed and diversified from earlier forms during the history of the earth.