1 : an attitude of doubt or a disposition to incredulity either in general or toward a particular object
2 a : the doctrine that true knowledge or knowledge in a particular area is uncertain b : the method of suspended judgment, systematic doubt, or criticism characteristic of skeptics
3 : doubt concerning basic religious principles (as immortality, providence, and revelation)
Read 2a again. A true skeptic is not closeminded and doesn't say he hold the absolute Truth. If someone is 100% closeminded they are not skeptics, even though they might call themselves that. You shouldn't refer to them as skeptics either, since they are not.
btw, do you ever consider the possibility that the paranormal is not real? If not, then you are not a skeptic either.
I agree. One have to keep an open mind, since we all have to realize that the human understanding of things are far from perfect. But personally I haven't encountered such skeptics alot. But on the other hand there a ghost believers that when they see certain pictures they say that there can't possibly be any explanation other than the paranormal. These people are close minded as well, just to the mundane explanations. The trick is not to take any final conclusions, but instead just to try to reach possible explanations.