1560s, "negligent, heedless," from Latin incuriosus "careless, negligent, unconcerned," from in- "not, opposite of, without" (see in- (1)) + curiosus (see curious). Meaning "uninquisitive" is from 1610s. Objective sense of "unworthy of attention" is from 1747. Related: Incuriously. Incuriosity is attested from c. 1600.
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