Comment by Symmetry

There are actually a bunch of different ideas that all go under the "singularity" label making the term fairly confusing. You describe one. Another is the idea that if AIs start designing computers you'll have a positive feedback loop in improvements in computer speed. Another is that we can't predict the actions of a smarter-than-human intelligence. And then there's Kurzweil's idea that progress tends to speed up and at some point we call it the Singularity for some reason. I just wanted to point this out because I've seen a number of arguments caused by people using the same words for very different ideas of "the singularity" without realizing it.