It is very interesting, I'd like to know how Neil DeGrasse Tyson would explain it. That guy has a way of dumbing down complex theorem for layman to understand.
we already have AI on a limited basis. He might explain it as an exponential growth in the speed, processing power and AI's ability to understand complex algorithems. As the speed of this power accellerates, it will become self aware. It is at this moment we will have the singularity. And as this awareness grows, it will be able to comprehend things we fail to understand. This singularity will have the ability to rewrite it's code, and improve itself. Over time, it will become "godlike".
It is impossible to guess how intelligent this awareness will become in a very short period of time, much like ants have absollutely no ability to comprehend what it is we humans do.
Times, did you look at the link I posted. An example of AI doing what it does best...learning instantly!!!