Even facts could contradict reality. If people are committed to a certain belief, they may unyielding in looking at an opposing belief, even if facts present differently. An example of this is a Democrat may look at our economy today and present facts that indicate an economic recovery. A Republican may look at our economy and demonstrate that we are no where near a recovery. In a lot of cases, there is still some subjectivity involved in interpretation. Also, there could be a spurious (http://myerscounselinggroup.blogspot.com/2011/08/cause-and-effect-in-relationships.html) factor involved in coming up with a fact. A certain fact could be presented, but the manner in which we derived that fact could be called into question due to other influences.
Accepting a opposing view could be pretty significant for some people. This may mean giving up a belief that may have served a purpose. It may be easier to blame a boss for having it out for you rather than accepting it was your own failings that caused you to be fired. Doing so may be a difficult concept to accept. Acknowledging facts that oppose your belief system may also run in conflict with a family values or belief. This is how racism and prejudice gets passed on in families.
Lastly, some facts may be understood by some, but may not be understood by others. If we look at Global Warming, there are "Facts" presented on each side of the debate of whether or not it is happening. There are scientific facts stated on both sides of the debate. Some of these facts are in direct opposition to the facts presented by the other side. The general public may not truly understand how these facts were derived and it may amount to how much you trust the source to accept their conclusions. If we do not trust the source, all the facts in the world may not change our beliefs.