There's nothing harder in all this typology stuff than trying to type oneself. It's almost as difficult as typing those close to you. Yet those farther away are easier to type because there is less personality and behavioral data to wade through.
Lately I've been pondering the challenge of the Ne function, it's manifestation, and what it means for me to be Ne-aux. Ne is a challenge because its existence is so vague to me, probably because Ne creates such broad generalizations. It creates these generalizations out of a search for a kind of feeling of satisfaction in discovering the big-picture behind the variety in experience. But since this doesn't always exist in perception, Ne seeks to create it, whether in writing or through some other kind of invention that can be perceived and savored. Ne is inventive in order to satisfy the desire to seek the whole. This whole isn't necessarily a final conclusion of a logical thought-process (as with Ti or Te), only when the "conclusion" fails to lead to further satisfying inventions and novel ideas.
The big difference between the INTP and ENTP is found in the final product. The INTP finds satisfaction in a purely mental product, the ENTP seeks satisfaction in external inventiveness. But ENTP is less hands-on than the ESTP: once the ENTP's invention is in existence merely on the drawing-board, the ENTP leaves it to others to build and maintain. As far as the ENTP is concerned, the invention's drawing-board existence is satisfaction enough. The mundane experience of actually working the invention is left to those who enjoy that kind of thing.
My Ne-aux is weak on external invention. A typical INTP is Einstein, who considered his Relativity complete merely via intuition, a purely mental invention. It was to his great dismay, as a lazy student, when he recognized the necessity of learning mathematics. Einstein wasn't a "lazy" student per se, he simply didn't see the necessity of taking his ideas farther than the intuitive level. Even mathematically outlining his theory was to him an onerous chore, a necessary evil designed merely to satisfy the vetting process.
I see Ne in myself in the satisfaction I draw in creating a product that unifies disparate ideas in an orderly, logical fashion. In typical Intuitive fashion, this fact registered on my consciousness in the form of an intuitive 'Aha' moment. All my life these types of moments have come to me as facts that were present in my mind all along, only they were present in a disorderly fashion because there was no concept with which to unify these facts. The concepts are higher than the facts themselves, it is a moment of intellectual synthesis in which many facts are brought together beneath a single mental idea that serves to unify them all. There is nothing "logical" about this, Ti has nothing to do with it. Ti is analytical, Ne is synthetic, its product is that of synthesis. Synthesis is the process behind invention, where the concept suddenly presented to consciousness is more than the facts subsumed by the concept.