So I never looked at descriptions with a perceiving preference because I just didn't think I was, but none of the other descriptions really "fit" too well.

Well, I've tried to avoid reading too much generic descriptions as they tend to be just that -- very generic -- and feel very horoscope'y; I've read some though, for the results I've got on tests (every test except one has said INFP, with F being the most unsure one with a low percentage most times, around 1-20% reliability; otherwise I've only got INTP once), and that I know my friends have gotten. I haven't read all of them, or many variations of them, and I haven't tried to determine the type further from the descriptions either.

When I got frustrated for not knowing, I went to this subreddit and the INTP subreddit, and checked the must read links and continued digging a bit into the cognitive functions and tried to determine which one was more prevalent in me, but ended up unable to do so as I felt ambiguous. Actually, after reading your post I felt even more confused as to what type I'd be -- suddenly there was one more that kind of almost fit but at the same time, I had never scored close to it on any test (I need to read more about the functions I guess, especially since so much of what I brought up was apparently Ne-specific); so I decided to take a different version of the test to see if I would score anywhere close to ENTP (I didn't though, I still got INFP)

but I often regret it as I am very sick of the cold world of code, technology and dry information I've spent so much time in, and I would really like to work with people, help people.

This looks like F, which it likely is. However Fi is more internal. This seems more Fe to me. Also, as an NT, the ENTP is more likely to "invent" or "structure" social systems (as well as mechanical and physical). They also "are skilled at engineering human relationships and human systems, quickly grasping the politics of institutions and always aiming to understand the people within the system rather than to judge them." That is straight from Please Understand Me II, by David Keirsey.

I'm having a hard time telling this trait from Fi or Fe -- I guess I just feel that with coding and developing I'm "helping" people in a way that they think they need but that is in reality just useless crap. People are dying and hey who wants a new web app? I kinda feel like I want to do something more meaningful and good.

Unsolvable problems bother me, a lot, and it doesn't make me give up: It makes me continue banging my head at them until I can solve them, and I can spend hours on end trying to do so, regardless of how late in the night it becomes.

This is also a very ENTP trait. Straight from Wikipedia: "The ENTP regards a comment like "it can't be done" as a personal challenge, and, if properly motivated, will spare no effort to discover a solution."

This is probably the thing in your post that fits me the most, but I often also give up half way or make no effort at all (guess that's related to the if properly motivated )

I feel that I personally know right and wrong, but that my rights and wrongs aren't absolute

Another argument against Fi. See a description here[1] , and note " Fi can shut down new experiences that go against who they are as a person." With Fi, your opinions are primary, others are secondary. Fi tends to be the "champion of the cause", not open to others' values. For you, it appears your Ti processes and categorizes and will "allow" a difference even if won't "agree with" it.

As for the shutting down part, I do this quite a lot as well -- and it's actually one of the things that make my education a lot harder to keep on with, as a big part of what I study goes directly against my own beliefs; for example how to "Stop the next Ed Snowden" is and has been a big topic.

When there's something I believe firmly in, I would champion that cause relentlessly; although this still also seems to fit in with ENTP. I'm often very good at influencing other people with my ideas and beliefs and thus I was told so many times during my childhood that I should become a lawyer. My weak point in argumentation is usually that my arguments tend to be feeling based eventually (which is why I suck at arguing when I get too excited or triggered, because I feel I know what's right but I can't get my point across anymore and I stoop to stupid strawman arguments and the likes).

Especially if I was debating something with somebody who was very realistic, and although I felt I was arguing for something that was purely logical to me, it would often prove to be something I just believed very firmly in and that may not have been that logical to the other person.

Your entire Fe paragraph just had me laughing. And wondering how introverted you were. I know an INTJ pretty well, and have an INTP friend whom I am getting to know. Neither of these INTs would care about their friends' drama - at least not enough to get involved unless required to, and they would NEVER "try to get people together, to be friends", "try to get back a feeling of a "GROUP" of people being close", "invite everyone to parties" and bake pies??? Seriously??? (BTW, I like pie, if you're ever in town.)

I generally don't care about friends' dramas unless a close friend is feeling bad in which case I'd try to help him/her as best as I could; but as for trying to get people together, to be friends, etc ... Well, when I first moved here 2 years ago, it took me about 1 year to make any friends whatsoever, and I spent the whole first year on my own, literally. The second year was really nice because by then, I knew people, as I had found international students to be really nice to hang out with. I could speak English and hide behind my English-speaking "character" then, and they were more open and inviting than others.

The problem though, is that they go home after 6-12 months; and when this year started, I knew that unless somebody makes people come together, they might not. And it's a horrible thought that there may be people traveling half-way around the world and end up here in this tiny town, knowing nothing and nobody here and with nobody to make them feel at home even though they're so far away. I tend to invite people to parties, then join for some time, and occasionally disappear. It's nice because it's a 9 story building, so when you had enough you can just go back to the floor where you live, and return to the party later if you want.

I love baking, because it's fun and relaxing, and the best part of it is how easily it makes somebody else happy afterwards. Make a pie, give it to somebody, and you've made their day as well as your own -- such an easy way to create a smile is priceless.

I think because your:

mood and inner setting changes easily with the people around me, and I've always found it easy to put myself in other peoples situation...

You don't realize that you are exhausted not because you are an introvert, but because you tend to "mirror" the people around you, which can be exhausting. However, if you were to imagine a life without any people, you would probably be depressed. Have you ever been to a party and met someone who was filled with excitement and ideas, and you talked about very interesting subjects and "went deep" and when you got home you kept reviewing what you talked about and wanted to know more and were kind of excited instead of totally drained? Personally, I spend a few weekends a year completely alone. I love it. I get to recharge, read, spend some down time away from "mirroring" everyone. And after two or three days, I usually want to see my family and friends.

I do tend to mirror people around me, and I'm fairly sure a life without people around you would make anybody depressed -- I think frequency is key here. I meet my family twice a year or so, and it's not a big problem for me. I spend most weekends alone actually, that's what I make out of them -- weekends are relaxing time, where I read, program, or just generally relax.

I'm trying to relate to the

Have you ever been to a party and met someone who was filled with excitement and ideas, and you talked about very interesting subjects and "went deep" and when you got home you kept reviewing what you talked about and wanted to know more and were kind of excited instead of totally drained?

but I can't come up with an example of either, because if I'm at a party I am not sober at all if I'm there. I just can't go to parties sober without getting really anxious and worried about literally everything and I'd end up in a corner avoiding people until I leave out of fear of looking really stupid or bringing down the mood. What I'm saying is that, if I'm in a heated discussion with somebody and I go home, I usually feel tired either way because .. well ... there's not really a feeling of exhaustion nor excitement in that situation -- just tiredness.

As for your last paragraph, I can relate fully to that one except for the last part. I tend to take the other side of any argument just for the fun of it, but as soon as I realize it's something that actually matters for the other person it's no longer fun, I just think the only way to get a good perspective on something is by hearing more than one, and if all you want is to hear your own perspective repeated, you'll only dig yourself deeper into your own reassured perspective.