In·quis·i·tive·ness, n. The quality or state of being inquisitive; the disposition to seek explanation and information; curiosity to learn what is unknown; esp., uncontrolled and impertinent curiosity.
     Mr. Boswell, whose inquisitiveness is seconded by great activity, scrambled in at a high window.   --Johnson.
     Curiosity in children nature has provided, to remove that ignorance they were born with; which, without this busy inquisitiveness, will make them dull.   --Locke.
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  inquisitiveness
       n : a state of active curiosity [syn: curiousness]