In the popular physics books that I enjoy reading, black holes are described as containing a singularity of zero volume that contains 100% of the mass. I can't envision this, since 100% of the spacetime inside the event horizon would then be empty space except for virtual particles. Is this description of infinite density a result of the math, with the possibility of there being a minimum volume in actuality? I have the impression that our Universe has quantized out a lot of potential infinities, such as electron orbits, Planck limits and possible pixelated spacetime. I assume that in order for a Universe to be calculated by a computer or experienced by a brain, the infinities have to be pared down to finitely calculable values.