Just from this excerpt, you cannot know anything about Lincoln's positions other than Douglas's statement that Lincoln wants slavery abolished.
In truth, Lincoln and Douglas believed in some very similar things. Neither of them believed at all in racial equality. Douglas makes clear in this excerpt that he does not think blacks matter as much as whites. Lincoln felt much the same way.
However, Lincoln and Douglas did differ to some degree on slavery. Douglas thought (as he says in the excerpt) that any state that wanted slavery should be able to have it. Lincoln wanted slavery to be contained so that it could not spread to any new states. He did hate slavery, but he did not intend to use the power of the government to abolish it--just to keep it from spreading.
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