Final answer:
Lincoln initially pursued the Civil War to preserve the Union, not to end slavery, and the Border States did not rapidly accept proposals for emancipation and the Thirteenth Amendment.
Step-by-step explanation:
When the Civil War began, President Abraham Lincoln's primary goal was the preservation of the Union, which is highlighted by the False response to Exercise 16.3.1. This objective is evident in Module 9.1 where it's stated that Lincoln did not initially fight to abolish slavery but rather aimed to keep the nation united. Lincoln's stance on slavery was that he hoped it would eventually die out, but immediate abolition was considered too radical and unconstitutional at the time.
Regarding the question of whether the Border States rapidly accepted Lincoln's proposals for emancipation and the Thirteenth Amendment, the answer is False. Per the information provided, the Border States were not quick in accepting Lincoln's gradual compensated emancipation, nor were they willing implementers of the Thirteenth Amendment. It indicates the complex nature of the Civil War, which was not solely about military confrontations but also involved deep divisions over slavery among other social, political, and economic issues.