...
Another place where Ti is evident is in music. Where a Te approach to learning to play an instrument would be to learn the scales and chords and how to read sheet music and all that, Ti would learn by doing. It would learn by experimenting with the instrument, by listening to music and hearing the underlying structure and then applying that to the individual's own playing.
...
*Skips reading posts to respond to this snippet*
That would make sense, since when I use my shadow Te and try and learn the things like that, it just doesn't click, but when I find a cool little section of notes to tinker with on my guitar, I learn it a lot more readily. My F (Fi? Fe? I dunno which one) also works as the judge of how good the bit actually is, though Te may say 'that doesn't fit into the scale? Why does it still sound good?' then Fe or Fi, or even Se, needs to push it to the side and say 'It sounds good, that's all that matters.'
"The difference is that to Ni, they were always there, Ni just found them. Ti on the other hand, tied them together by hand."
That's just one part of what Ni does.
I think Ni, Ti's close sibling, is about 'gazing into the crystal ball' so to speak and understand how things flow in our mind. Data that comes in is influenced by that mental aether, leading to hunches and other insights. Sort of like those cool goggles Johny Depp had in the Sleepy Hollow movie he was in, or, even more accurate, the magic stone the kids had in the Spiderwick Chronicles. Also, when the Aether starts to flow, ideas just come naturally to Ni, leading to the mass jumble of ideas that try to get out at once when I get on a train of thought. IT also lead to this wall of text
Ne comes up with ideas compared to the object, these ideas can rebound off each other like pool balls, leading so some interesting insights and creations. It loves to explore 'idea-scapes'. When Ne clicks in, NPs seem to love rebounding ideas off of each other. It's dangerous to put 2 ENTPs in a room for that reason.
Since Si is the concrete form of Ni, it's much more past based since the data you get is stored. Where Ni sort of vaporizes it into a weird cloud, Si blocks it together. Organizing all the data into sections of a wall. New data is related to the wall in where it goes and what should be done with it.
Se, I think, likes to explore the world with the senses, taking in data to use to add to the world, to make it interesting. Since Se is fundamentally always in the world, it loves to keep it interesting. It also understands its chosen realm very well. The example of Ti/Se allows, say, an ISTP carpenter to understand all the intricacies of his tools and how to make that cabinet outstanding.
That's my understanding of the functions, I was on a roll and didn't want to block off the ideas. I still don't think I totally understand the judging functions.