inquisitivenes

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. [ 1913 Webster ]

Mr. Boswell, whose inquisitiveness is seconded by great activity, scrambled in at a high window. Johnson. [ 1913 Webster ]

Curiosity in children nature has provided, to remove that ignorance they were born with; which, without this busy inquisitiveness, will make them dull. Locke. [ 1913 Webster ]