Being opposed to higher taxes is not a sufficient condition for
This does weaken, but not as much as (A). The author presented only one premise in favor of picking Thompson as the best to lead: her opposition towards taxes. According to this answer, her opposition to taxes is not sufficient to prove (i.e. does not by itself guarantee) the conclusion that Thompson would be a good leader. That definitely weakens because it points to the fact that we need to consider other things beyond Thompson's position on taxes. Since (A) and (B) are both attacking the logical force / relevance of the author's premise to her conclusion, we just need to think about which answer choice says something more impactful. Take a real life example; which is a stronger statement: (A) a good LSAT score is not a factor contributing to being accepted at Yale (B) a good LSAT score is not a sufficient condition for being accepted at Yale The 2nd one sound like a true statement! We all know that a good LSAT score does not guarantee you'll be accepted to Yale. But that doesn't diminish the importance of the LSAT score a ton. It just says, "it's not an automatic-in." Meanwhile, the 1st one sounds cuckoo-bananas. An LSAT score isn't a factor in getting accepted to Yale? Why didn't you tell us? (Go to the upper right of your homepage, click on Plans, cancel immediately) So while (B) is saying, "Your premise isn't 100% convincing", choice (A) is saying "Your premise isn't even 1% convincing".