1630s, "having a special quality," from French spécifique and directly from Late Latin specificus "constituting a kind or sort" (in Medieval Latin "specific, particular"), from Latin species "kind, sort" (see species) + -ficus "making, doing," from combining form of facere "to make." Earlier form was specifical (early 15c.). Meaning "definite, precise" first recorded 1740. Related: Specifically; specificness.
word-forming element making abstract nouns from adjectives and meaning "condition or quality of being ______," from Middle English -ite, from Old French -ete (Modern French -ité) and directly from Latin -itatem (nominative -itas), suffix denoting state or condition, composed of -i- (from the stem or else a connective) + the common abstract suffix -tas (see -ty (2)).
Roughly, the word in -ity usually means the quality of being what the adjective describes, or concretely an instance of the quality, or collectively all the instances; & the word in -ism means the disposition, or collectively all those who feel it. [Fowler]
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Definitions of specificity from WordNet
the quality of being specific rather than general;
the specificity of the symptoms of the disease
add a desirable note of specificity to the discussion
the quality of being specific to a particular organism;