Physicist: Singularities are just artifacts that fall out of math. The “singularities” most people have heard of are black hole singularities. For example, when you drain water from a tub or sink the water will spiral into the drain. It doesn’t exist in any one place, so the idea of getting infinitely close doesn’t really make sense. However, unlike the singularity over the drain in your sink, the singularity in a black hole can’t be observed.