inquisitiveness

The character of being inquisitive; the disposition to inquire, ask questions, or investigate; curiosity to learn: as, the inquisitiveness of the human mind.

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.

The quality of being inquisitive; curiosity.

a state of active curiosity