The purpose of this excerpt is to: address the concerns of a distrustful audience.
In Lincoln's message to congress, he addressed those who might be uneasy about the possible course of the government against the Southern states after conquering their rebellion.
He explained that his government will not act in an unconstitutional manner against the erring states.
So, he was trying to address the concerns of the distrustful audience.
(The excerpt is drawn from "Message To The Congress in Special Session, July 4, 1861 by Abraham Lincoln.)
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