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

question 60

Multiple Choice

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

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

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Definitions:

Parsimonious

Describes explanations or theories that are simple and based on the fewest necessary assumptions, often preferred in scientific research for their efficiency and elegance.

Freud's Theory

Refers to the psychoanalytic theory developed by Sigmund Freud, which emphasizes unconscious processes, childhood experiences, and sexual and aggressive drives in shaping personality.

Projection

A defense mechanism in which an individual attributes their own unacceptable thoughts, feelings, or motives to another person.

Rorschach Inkblot

A psychological test in which subjects' perceptions of inkblots are recorded and then analyzed using psychological interpretation.