In math and science, a singularity is a point on an object that is undefined or infinite. The object may be abstract, such as a mathematical function, or real, such as a black hole. Singularities are often depicted in science fiction as a place or moment in time at which the laws of physics break down.
In reference to artificial intelligence, the singularity is a theoretical time in the future when self-improving technology accelerates beyond human control. The term was first used by John von Neumann to describe his vision that technology will one day "explode" in a chain reaction of self-advancement, after which the role of humanity is unknown.