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Note: the Solutions to Most of the Multiple Choice Questions α\begin{array} {| l | }\hline \alpha\\\hline \text {1 }\\\hline \text {0 }\\\hline\end{array}

question 67

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Note: the solutions to most of the multiple choice questions in these sections use what call the standard assignment of truth values to atomic propositions. The standard assignment of truth values assigns the values given here to the variables in the wffs in the exercises, when read left to right. So, the first variable in the formula read left to right gets the α assignment; the second variable in the formula read left to right (if any) gets the β assignment; the third variable in the formula read left to right (if any) gets the γ assignment; and the fourth variable in the formula read left to right (if any) gets the δ assignment.
For exercises with only one propositional variable, the standard assignment is:
α\begin{array} {| l | }\hline \alpha\\\hline \text {1 }\\\hline \text {0 }\\\hline\end{array}

For exercises with two propositional variables, the standard assignment is:
nβ11100100\begin{array} { | c | c | } \hline \mathbf { n } & \boldsymbol { \beta } \\\hline 1 & 1 \\\hline 1 & 0 \\\hline 0 & 1 \\\hline 0 & 0 \\\hline\end{array}
For exercises with three propositional variables, the standard assignment is:
αβγ111110101100011010001000\begin{array} { | c | c | c | } \hline \alpha & \beta & \gamma \\\hline 1 & 1 & 1 \\\hline 1 & 1 & 0 \\\hline 1 & 0 & 1 \\\hline 1 & 0 & 0 \\\hline 0 & 1 & 1 \\\hline 0 & 1 & 0 \\\hline 0& 0 & 1 \\\hline 0 & 0 &0\\\hline\end{array}
For exercises with four propositional variables, the standard assignment is:
αβγδ1111111011011100101110101001100001110110010101000011001000010000\begin{array}{|c|c|c|c|}\hline\alpha & \beta & \gamma & \delta \\\hline 1 & 1 & 1 & 1 \\\hline 1 & 1 & 1 & 0 \\\hline 1 & 1 & 0 & 1 \\\hline 1 & 1 & 0 & 0\\\hline 1 & 0 & 1 & 1 \\\hline 1 & 0 & 1 & 0 \\\hline 1 & 0 & 0 & 1 \\\hline 1 & 0 & 0 & 0 \\\hline 0 & 1 & 1 & 1 \\\hline 0 & 1 & 1 & 0 \\\hline 0 & 1 & 0 & 1\\\hline 0 & 1 & 0 & 0 \\\hline 0 & 0 & 1 & 1 \\\hline 0 & 0 & 1 & 0 \\\hline 0 & 0 & 0 & 1 \\\hline 0 & 0 & 0 & 0\\\hline\end{array}
Complete truth tables for each of the following propositions.
-(?C ? ?D) ? [D ? (C ? D)]

Examine the economic, social, and legal factors contributing to the institutionalization of slavery in colonial America.
Discuss the concept of freedom and servitude in colonial contexts, including exceptions and special conditions.
Understand the role of religion and ethnicity in shaping colonial slavery practices.
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The legal authority given to governmental entities to collect taxes from individuals and businesses to fund public expenses.

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