"The term singularity describes the moment when a civilization changes so much that its rules and technologies are incomprehensible to previous generations.
...
A good way to understand the singularity is to imagine explaining the internet to somebody living in the year 1200. Your frames of reference would be so different that it would be almost impossible to convey how the internet works, let alone what it means to our society.
You are on the other side of what seems like a singularity to our person from the Middle Ages. But from the perspective of a future singularity, we are the medieval ones. Talking about the singularity is a paradox, because it is an attempt to imagine something that is by definition unimaginable to people in the present day."
(by the way, Ray Kurzweil now work for Google, on simulating brain with AI)