In the Following Proof, Which Justification Is Correct for Line

question 143

Multiple Choice

In the following proof, which justification is correct for line 11? $\begin{array}{llcc} \text { (1) \( (x) (\mathrm{C} x \supset \mathrm{D} x) \) } &&\text { Premise } \\ \text { (2) \( (\exists x) \mathrm{C} x \) } &&\text { Premise } \\ \text { (3) \( (x) (\sim \mathrm{E} x \supset \sim \mathrm{D} x) \) } &\text { \(E(\exists x) \mathrm{E} x\) } &\text { Premise/Conclusion } \\ \text { (4) \( \mathrm{Ca} \) } &&\text { \( 2 \mathrm{EI} \) } \\ \text {(5) \( \mathrm{Ca} \Rightarrow \mathrm{Da} \) } &&\text { 1 UI } \\ \text { (6) \( \mathrm{Da} \) } &&\text { 4, \( 5 \mathrm{MP} \) } \\\text {(7) \( \sim \mathrm{Ea} \supset \sim \mathrm{Da} \) } &&\text { \( 3 \mathrm{UI} \) } \\ \text { (8) \( -\mathrm{Da} \) } &\text {\( 6 \mathrm{DN} \) } & \\ \text { (9) \( \sim \mathrm{Ea} \) } &&\text { \( 7,8 \mathrm{MT} \) } \\ \text { (10) \( \mathrm{Ea} \) } &&\text { \( 9 \mathrm{DN} \) } \\ \text { (11) \( (\exists x) E x \) } &\\ \text { } &\\\end{array}$

---

Definitions:

George McClellan

A major general during the American Civil War, known for his cautious tactics and contentious relationship with President Abraham Lincoln.

Zealous Commitment

An intense and passionate dedication to a cause, belief, or goal.

Decisive Action

A firm, resolute action taken to solve a problem or achieve a goal, often characterized by its effectiveness in bringing about a significant change or resolving a critical situation.

Confederate Soldiers

Individuals who served in the military forces of the Confederate States of America during the American Civil War.