Hum,
Just a minor observation here.

Yes, the difficult thing about singularities is that our current mathematical tool, up to a certain point, are not adequate to describe it. The maths just gets weird.


But the even weirder thing is that all the ppl who know about these things, talk of `singularities`(I do it myself) yet what they describe isn’t a singularity at all.

A black holes `singularity` can be kilometres across!

Take Hawking or String theory for example, what they describe is has at least a Planck size of 10^-35 cm.
At that scale, space and time or other dimensions become smeared together.



But what is important is that it has a size, IMHO.