This rhetoric around singularities is a little funny, because the singularity of blackholes (going to infinite density) is recognized to indicate knowledge gaps

This rhetoric around singularities is a little funny, because the singularity of blackholes (going to infinite density) is recognized to indicate knowledge gaps around how blackholes work... lines going to infinity is not necessarily taken literally. Same goes for the technology singularity. Anyway, imo the event horizon is more interesting. That's where the paradigm shift happens - there is no way to escape whatever "comes next". (Note - some people confusingly use "singularity" to refer to the phase between the event horizon and "infinity")