A singular point is a point in which the rules that define the spectrum around are no longer valid. In Mathematics a singular point is the point for which a function is undefined, in Physics, Gravitational Singularity means infinite gravitational field, known also to be a Black Hole.
It's closer than you think. Declarative programming. Computers who understand requirements. Technological singularity. At which point the only occupation still relevant for humans would be lawyers, as computers cannot be mean enough for this job.
The future is surely an adventure. Some would see the upside potential of it, others may see the risks, which are there of course. For those and for those it would be good to read some advice from Daniel H. Wilson, on How To Survive a Robot Uprising: Tips on Defending Yourself Against the Coming Rebellion.