The purpose of the following paragraph is:
Claim
In this paragraph, the writer makes a claim and expresses their viewpoint regarding the issue at hand. The claim is that the subject being discussed (which is not explicitly mentioned in the provided text) is wrong for two main reasons: (1) it allows slavery into Kansas and Nebraska, and (2) it establishes a principle that could potentially lead to the spread of slavery to other parts of the world. The writer indicates that they will attempt to demonstrate why this claim is valid and that the subject they are opposing is fundamentally incorrect.