noun

• (mathematics) The value or range of values of a function for which a derivative does not exist.
• (physics) Ellipsis of gravitational singularity (“a point or region in spacetime in which gravitational forces cause matter to have an infinite density; associated with black holes”).
  "At this singularity the laws of science and our ability to predict the future would break down. However, any observer who remained outside the black hole would not be affected by this failure of predictability, because neither light nor any other signal could reach him from the singularity."
• (sometimes capitalized) Ellipsis of technological singularity (“a hypothetical turning point in the future, the culmination of ever-accelerating technological progress, when human history as we have known it ends, and a strange new era begins. For some writers, the catalyst is superhuman machine intelligence”).
  "One conversation centered on the ever accelerating progress of technology and changes in the mode of human life, which gives the appearance of approaching some essential singularity in the history of the race beyond which human affairs, as we know them, could not continue."
• (obsolete) Anything singular, rare, or curious.
  "Your Gallerie / Haue vve paſs'd through, not vvithout much content / In many ſingularities; […]"

name

• (technology) The technological singularity.
  "The notion of the Singularity is predicated on Moore's Law, the 1965 observation by the Intel co-founder Gordon Moore, that the number of transistors that can be etched onto a sliver of silicon doubles at roughly two year intervals."