Etymology
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singularity (n.)

c. 1400, "unusual behavior," also "singleness of aim or purpose," from Old French singulerte "peculiarity" (12c., Modern French singularité) or directly from Late Latin singularitatem (nominative singularitas) "a being alone," from singularis (see singular (adj.)). Meaning "fact of being different from others" is c. 1500. Mathematical sense of "point at which a function takes an infinite value" is from 1893. Astronomical use is from 1965.

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Definitions of singularity

singularity (n.)
the quality of being one of a kind;
that singularity distinguished him from all his companions
Synonyms: uniqueness
singularity (n.)
strangeness by virtue of being remarkable or unusual;
From wordnet.princeton.edu