I'm terrified of death in general, yeah. With my own death, I hate the idea of living for eternity, but at the same time, I do put far more thought and worry into the nature and timing of my death than is healthy - I'm most worried that I will die a violent death, for example. Other people's, too - I get very intensely emotional when thinking that people I care about are going to die, much to the point where I am convinced it is happening at that very moment or will happen very soon.

This isn't strangeness, it's an illness. Just one of the ways my anxiety manifests itself.