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

question 188

Essay

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:
$\begin{array} {| l | }\hline \alpha\\\hline \text {1 }\\\hline \text {0 }\\\hline\end{array}$

For exercises with two propositional variables, the standard assignment is:
$$\begin{array} { | c | c | } \hline \mathbf { n } & \boldsymbol { \beta } \\\hline 1 & 1 \\\hline 1 & 0 \\\hline 0 & 1 \\\hline 0 & 0 \\\hline\end{array}$$
For exercises with three propositional variables, the standard assignment is:
$$\begin{array} { | c | c | c | } \hline \alpha & \beta & \gamma \\\hline 1 & 1 & 1 \\\hline 1 & 1 & 0 \\\hline 1 & 0 & 1 \\\hline 1 & 0 & 0 \\\hline 0 & 1 & 1 \\\hline 0 & 1 & 0 \\\hline 0& 0 & 1 \\\hline 0 & 0 &0\\\hline\end{array}$$
For exercises with four propositional variables, the standard assignment is:
$\begin{array}{|c|c|c|c|}\hline\alpha & \beta & \gamma & \delta \\\hline 1 & 1 & 1 & 1 \\\hline 1 & 1 & 1 & 0 \\\hline 1 & 1 & 0 & 1 \\\hline 1 & 1 & 0 & 0\\\hline 1 & 0 & 1 & 1 \\\hline 1 & 0 & 1 & 0 \\\hline 1 & 0 & 0 & 1 \\\hline 1 & 0 & 0 & 0 \\\hline 0 & 1 & 1 & 1 \\\hline 0 & 1 & 1 & 0 \\\hline 0 & 1 & 0 & 1\\\hline 0 & 1 & 0 & 0 \\\hline 0 & 0 & 1 & 1 \\\hline 0 & 0 & 1 & 0 \\\hline 0 & 0 & 0 & 1 \\\hline 0 & 0 & 0 & 0\\\hline\end{array}$
Complete truth tables for each of the following propositions.
-(B ⊃ B) $\lor$ ∼B
(B ⊃ B) $\lor$ ∼B

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Definitions:

Convergent Thinking

A cognitive process that involves focusing on finding a single, correct solution to a problem, often through the application of logic and rules.

Divergent Thinking

is a thought process or method used to generate creative ideas by exploring many possible solutions.

Synergistic Fashion

A manner of working together in which the combined effect is greater than the sum of individual efforts.

Group Brainstorming

A collective thinking process in which group members generate ideas or solutions to a problem in a non-judgmental environment.