Suppose there is a question where I carefully supplied the canonical answer, and then answered a number of specious (and somewhat hostile) comments regarding its mathematics. This is driving me crazy ("Yes, there are X with the property Y which still lack the property Z! Of course! You're missing the point entirely! If we start with this X, which has the properties Y and Z..."). It doesn't help my answer (again, I'd stake a doctorate on its correctness) that I am getting downvotes which are moving a patently incorrect answer above mine.
So I've downvoted the other guys (and they've all downvoted me), and it's made no difference.
What, if anything, should I do at this point?
Edit: Well, time to fall on my sword. I made a significant (and stupid) assumption in answering such a question as above, which I only much later realized was not implicit. (I have excuses; I will not list them.) I incorrectly concluded that another answer was flawed. Having spent some time on the answer, when I thought a wrong answer was going to top out, I got annoyed. Since I didn't know whether or not I could "flag an expert" here in a reasonable way, I asked on meta. In the meantime, I got a comment which I found insulting. This confusing thread resulted.
All of this was very protracted and I am very glad to be done.