What I'm getting at with this "fact" and "belief" blabber is this:
We Post Moderns suffer the constant fallibility of fact; of truth. On the one hand history has taught us that no fact is secure. On the other we are assaulted by facts so numerous there's no time to pick and choose which are justifiable, secure, true.
The inevitable result has happened. We "believe" the "facts" that we "value" and this becomes our "truth". Stated another way: we accept as true, the knowledge that we find beneficial, useful. Often, we are not equipped to determine if this knowledge is actually "true" in the full objective, undeniable, linear sense.
This situation erodes the meaning of "true". However, we will only notice this erosion when we encounter those whose package of truth contains items that contradict those in ours.
The path forward requires an understanding of the unsubstantiated (but beneficial) portions of our truth package. Otherwise, we are doomed to cliques and conflict.