OE
It is clear from “claims” and the generally derisive tone of the sentence that the author does not think it is possible to deduce matters of fact from logic (that would be pretty silly, come to think about it). Thus, the “she” who is the subject of the text has little warrant (justification) for doing this, and just as little warrant for using logic to inappropriately derive other “truths.” A fallacy is a mistaken belief, especially one based on unsound argument—her fallacy is a major issue, not something to be described as “just as little.” An epigram is a witticism or quip, an extra meaning not indicated by any proof in the text. License is similar to warrant and serves the same function in the second sentence. The “laws of logic” do not occlude (close, cover, or obstruct) or galvanize (spur to action) “her proclamation.”
Answer: B,D