Construct a Truth Table for the Statement $\sim \mathrm { r } \wedge \sim \mathrm { q }$

question 108

Multiple Choice

Construct a truth table for the statement.
- $\sim \mathrm { r } \wedge \sim \mathrm { q }$

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

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Definitions:

Austria-Hungary

A central European empire existing from 1867 to 1918, it was a dual monarchy consisting of Austria and Hungary, which dissolved after its defeat in World War I.

Habsburg Lands

The Habsburg Lands refer to the territories ruled by the Habsburg dynasty, including parts of modern-day Austria, Hungary, and others, known for their complex multi-ethnic composition and significant role in European history.

Neo-absolutism

Neo-absolutism, also known as neo-absolutist, refers to the 19th-century political trend in certain European monarchies to reinforce absolute monarchy powers amidst modernizing reforms.

Liberals and Nationalists

Advocates for liberal policies favoring freedom, democracy, and equality, and nationalists who emphasize strong national identity and sovereignty, often working together in 19th-century European movements for independence and reform.