Bear(bare? ugh!) in mind that, you, for example as a Fi dom might identify more with the reductionist than the expansive perspective. The problem here is that you guys used yourself to derive your explanations of functions, which is understandable, but it creates confusion because you're never really using your functions in an isolated state, there will always be overlap, and this will be reflected in your perception.
Do explain more, please?
Another way of looking is that Ni is like an arrow; it directly went towards some direction (others might call it random and/or wishy-washy). IF you're willing, you may look at the places it passed; the values and beliefs and tangents that are composed at one point and unconsciously used. But the point is made, the thought is (often) made. The diverging way of Ni seems to be self-reflective in nature? ("Hmm, I seem to think this. I wonder why?")
One of my closest experience is when driving, I have a thought "I should keep the unoccupied portion of the road as wide as possible." Then while I'm wondering, I began to retrace my thoughts; what makes me think of it like that? It appears I considered inbetween my car hitting other (moving) things, and my car hitting other, not moving cars / wall / sign / whatever, the latter is better than the former. Amongst other things.
Ne, on the hand, it like.....
Macross Missile Massacre, I suppose. From one point, it shoots thousands of thoughts and trying to aim at (preferably) one best possible thing. So the diverging value of Ne seems to be... attentive in nature ("I want this. How should I do this ?")
Also, I'd heard from other places that Ne often works best when there's other people. Ni, for comparison, often only tells the result of the (layers of layers of layers of) brainstorming; not the process of brainstorming itself.
The way I'd imagine it would be something like,
Ne: "I want to go to a restaurant."
Ni : "(A restaurant?
Hmm, what kind of food would be good? *going deeper* >> Food that they like, also food that I'm fine with eating it. If possible, food that I want to eat. *Going meta*
What do I want? >> I want Japanese Chinese Burgers Pizzas Italian Spanish Tacos nyemnyemnyem Pizza! *going meta*
What do they usually like? >> A likes chinese B likes Burgers and hates Chinese nyemnyemnyem
So. Probably Pizza will be fine) How about Pizza?"
Ne : "Hmm, How about burgers?"
Ni : "(Burgers. A seems to be fine with it, B likes it. How about me? Ugh, I just ate one yesterday. Hmm. How about handling another burger?) Sure. Where do you plan to go?"
....and something like that.
I might be wrong of course. :| CMIIW.