Translate the Statement into Symbols Then Construct a Truth Table $\mathrm{p}=$

question 83

Multiple Choice

Translate the statement into symbols then construct a truth table.
- $\mathrm{p}=$ At most, 100 guests arrived at the wedding reception.
$\mathrm{q}=$ There was a lot of cake left over.
It is not the case that, at most, 100 guests arrived at the wedding reception and there was a lot of cake left over.

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

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Definitions:

Formal Operational Thought

A stage in Piaget's theory of cognitive development, where individuals develop the ability to think abstractly, systematically, and logically.

Concrete Operational Thought

A phase in Piaget's cognitive development theory where kids develop the capacity to logically reason about tangible events.

Moral Realistic Thought

A stage of moral development where individuals believe that rules are absolute and that morality is determined by the consequences of actions.

Transductive Thought

A type of reasoning commonly seen in children where conclusions are made based on specific examples, rather than general logic.