What is the nature of wisdom? How do we know when we encounter it? Do we know if and when we have attained wisdom? Is seeking wisdom simply grasping at smoke? Remember the lyric from Kansas "And if I say that I'm a wise man,it surly means that I don't know"
IMO, we know it when we feel it, we feel it when we allow it, we allow it when our eyes are open, our eyes are open when we have wisdom. What I'm saying is it's always inside us but is often obscured by the experiences of the outside. And 'it' is not necessarily one lump of wisdom. It can be loosed in bits until what's inside overrides the outside.
Knowing that the self knows nothing is just the beginning of wisdom. Life is a lesson we learn until we draw our last breath, and, in the long run, every answer just asks a new question. Everything is knowable, but we will never know everything.