Hyperbolic GrowthThe term singularity also comes up in relation to hyperbolic growth or things that suddenly grow or decline to infinity at a point in time. This can be used to describe a complete breakdown of a system at a certain point. For example, a bridge may collapse at a certain finite weight. This is a type of infinite event from the point of view of the bridge as it may remain out of service for infinity.
Technology SingularityThe most common use of the term singularity is the theory that technology will suddenly improve so rapidly that it will escape all human comprehension and control. This theory, known as a technological singularity is most often associated with artificial intelligence and the idea that the intelligence of machines will suddenly jump to infinity. This is highly optimistic considering the historically slow progress of AI. For example, the artificial intelligence community experienced two long periods where little process was made. These are known as the First AI Winter of 1974–1980 and the Second AI Winter of 1987–1993.
A function that jumps to infinity at a point.