Integrity among bloggers

I've been polite and friendly in public in response to the critics of NO 7-Eleven (except one comment-in-frustration that included "THINK!"), but when someone states outright falsehoods and refuses to post replies that correct his blogposts, what should I do? What can I do? 

As a matter of integrity and fairness I have never moderated this blog despite many angry responses. I've even taken it on the chin when I've been corrected here -- take a look at the post about the rats in TSP. I was corrected, I was excoriated, but I didn't censor any of it. It's a matter of truth, fairness, openness and integrity.