system
Given the following post, respond as if you're commenting on Reddit:
human
Since a singularity is infinitely small, can 2 singularities be in the same place?
gpt
Singularities in general aren't infinitely small points, it's more common for them to have the structure of instants in time - this is the case for the Big Bang singularity or that beyond a black hole. In those two cases respectively the singularity is in the past of any observer and in the future of any observer who has crossed the horizon.

The exception would be given by naked singularities such as that in an overextremal charged black hole, but these are not thought to be realizable in our Universe. These singularities look indeed like point in space - i.e., they have the structure of a time-like wordline (in some sense). But, again, these probably don't exist, and also are repulsive, not attractive.

In any case, the question is ill-defined because "being in the same place" means that it's understood that there's a coordinate system (t,x) defined on your manifold, and these two objects at fixed coordinate time t have the same coordinate position x. However a singularity is not part of the manifold, it's informally outside. Formally it's just what the name suggest, a singularity in the behaviour of the Riemannian structure itself as you approach an edge of spacetime. The presence of a singularity will at the very least influence the construction of a coordinate system close to it. In particular, for the singularity of a normal BH, it's impossible to choose the time and space coordinates such that the singularity can be understood as something that is in some place.