We are trying to find a word to describe the concept of "being aware that you are unaware," or possibly "knowing that there is more to know." The closest I could come up with was enlightened naivety, but I was hoping that there would be a single word that encompassed the entire meaning.
"conscious of one's ignorance" comes to mind.
to be conscious of one's ignorance is to be aware of how much you don't know.
"if one becomes conscious of one's ignorance" regarding something, it may create a wish to know more about it.
"to be conscious of one's ignorance" is a great step forward.
One-word answers are not accepted by EL&U servers, but the word that comes to mind for me (depending on your context) is "Humility."
@Hot Licks' link includes a quotation from former U. S. Secretary of Defense Donald Rumsfeld, and it is one of the most frightening paragraphs I've ever read, considering his influence on the President of the United States at that time:
"Reports that say that something hasn't happened are always interesting to me, because as we know, there are known knowns; there are things we know we know. We also know there are known unknowns; that is to say we know there are some things we do not know. But there are also unknown unknowns – the ones we don't know we don't know. And if one looks throughout the history of our country and other free countries, it is the latter category that tend to be the difficult ones."
"Seeker" comes to my mind. One will seek something, only when, one is aware of the lack of it. Seeker is the one who knows there are more things to know/gain, and then he/she will strive for more knowledge.