Intuition is concerned with possibilities. It possesses a subjective element in that it calls upon the energy of imagination, reading in between the lines, and toying with assumptions. Jung described intuition as a conduit between the conscious and the unconscious because it functions to perceive "random" ideas in spite of the already established.
The difference between introverted intuition and extraverted intuition is that... Well, this topic has been debated to the point of smoldering because intuition defies fixed perceptions and definitions.
I think Saturned has the right idea.
From Ne, we would island hop from one idea to the next, at times not even pursuing a single one to the very end. This is because Ne is so general that you're not going to stay on a single I'm going to go play Left 4 Dead 2 ...
The thing about Ni, and why it is so accurate, is that it's precise and that it abstracts:
Abstraction. A form of mental activity by which a conscious content is freed from its association with irrelevant elements, similar to the process of differentiation. (Compare empathy.)
Abstraction is an activity pertaining to the psychological functions in general. There is an abstract thinking, just as there is abstract feeling, sensation, and intuition. Abstract thinking singles out the rational, logical qualities of a given content from its intellectually irrelevant components. Abstract feeling does the same with a content characterized by its feeling-values . . . . Abstract sensation would be aesthetic as opposed to sensuous sensation, and abstract intuition would be symbolic as opposed to fantastic intuition.["Definitions," CW 6, par. 678.]
Jung related abstraction to introversion (analogous to empathy and extraversion).
I visualize the process of abstraction as a withdrawal of libido from the object, as a backflow of value from the object into a subjective, abstract content. For me, therefore, abstraction amounts to an energic devaluation of the object. In other words, abstraction is an introverting movement of libido.[Ibid., par. 679.]
To the extent that its purpose is to break the object's hold on the subject, abstraction is an attempt to rise above the primitive state of participation mystique.
So Ni is going to find diamonds in the rough. Personal significance through symbolism. Disregarding distraction, much unlike Ne.