It's not that we don't believe in truth. The issue is that we reject particular stories about who knows the truth, who lives in it, and how that happens.
It means that the preacher on the street corner, or the one pontificating in the pulpit, insisting so loudly that in his rationalism and supposed objectivity that he knows "the Truth" is the one who I'm awfully sure is farthest away from it.
Let me try to explain why in clear terms. The "postmodern" aspect of my thinking is not an issue of what I do believe so much as what I don't believe. I don't believe that "absolute Truth" is something that yields its secrets to what is perversely called objective rationality. We all have bodies, and memories and relationships that serve as filters, or better yet, the interpretive framework for our experiences and the testimonies we receive. When it comes to real "Truth," the "data" isn't going to line up just so.
I am a Christian. I do not believe that I can pursue "Truth," and force it to yield so that I may ravish it. Truth is a person. Truth is the person who pursues, the person who ravishes.