What is the meaning of Singularity?

The state of being singular, distinct, peculiar, uncommon or unusual.

An unusual action or behaviour.

A point where all parallel lines meet.

A point where a measured variable reaches unmeasurable or infinite value.

The value or range of values of a function for which a derivative does not exist.

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.

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.

Anything singular, rare, or curious.

Possession of a particular or exclusive privilege, prerogative, or distinction.

Celibacy, singleness (as contrasted with marriage).

Source: wiktionary.org