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

question 78

Multiple Choice

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

• A)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{q} & \sim \mathrm{p}-(\sim \mathrm{p} \wedge \mathrm{q}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• B)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{q} & \sim \mathrm{p} \sim \sim \mathrm{p} \wedge \mathrm{q}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• C)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{q} & \sim \mathrm{p}-(\sim \mathrm{p} \wedge \mathrm{q}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• D)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{q} & \sim \mathrm{p}-(\sim \mathrm{p} \wedge \mathrm{q}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)

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Definitions:

Conditioned Response

A learned response to a previously neutral stimulus after it has been repeatedly associated with an unconditioned stimulus.

Unconditioned Stimulus

A stimulus that naturally triggers a response without the need for prior learning.

Unconditioned Response

An automatic, natural reaction to a stimulus that occurs without any need for prior learning or conditioning.

Unconditioned Stimulus

In classical conditioning, a stimulus that naturally and automatically triggers a response without the need for prior learning.