Inquisitiveness
In·quis·i·tive·ness
Inquisitiveness
n.
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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.
Curiosity in children nature has provided, to remove that ignorance they were born with; which, without this busy inquisitiveness, will make them dull.