Question

Singularity is difficult to understand due to the fact that the idea of space and time are not applicable given the definition.

Answer 1

I assume you are talking about the space-time singularity.

Yes, the gravitational singularity is absurd since the gravitational field is infinite so that the celestial body does NOT depend on the coordinates anymore, i.e. the normal space-time theorem does NOT apply anymore.

However, this can be predicted by general relativity, where the singularity can appear at the center of the black hole.

 So if you are talking about classical physics, yes it's difficult. But if you are talking about modern physics, then it's predictable and analyzible.