I think if you talked to the average person who didn't contemplate such things, they'd laugh at you when you told them they can't know anything. One could logically prove to me all day that I do not have the capacity to know anything, yet I have knowledge and know things. Logic falls on its face in front of facts. Now, I realize the argument made would say that facts don't exist, but I personally do not care. We live, we die, we feel, and therefore all arguments in saying that everything is unknowable...are just well silly. I know I'm not using any hard logic, but the emotions that people feel interest me infinetly more than abstract logic. I use logic when I'm programming a computer, but I along with the people around me form a tapestry of emotions that, while it has its bad parts, is ultimately beautiful.
I will agree that language is incapable of capturing everything, but I see it as incapable of capturing feelings for the most part. It tends to do fine in the world surrounding the human consciousness.