It is known that MBTI's dichotomy theory (as usually understood at the present time) when applied to stereotypical INTP behaviour, leads to holes in understanding which do not appear to be inherent in the system.
Take for example such common characteristics in the INTP personality as the aloofness, the precision of language, the idea oriented information, chameleon social persona, the chronic passiveness, and others.
Is your understanding of the basic principles of MBTI theory capable of deriving not only that but possibly all of the spectrum of the INTP behaviour?
I didn't think so.
So what do the Ti-Ne axis do?
First, MBTI is made on the basis of dynamical interactions between how we receive information and what we do with it (how we judge it). Taking that into account, the process always starts with outside information:
Ne is a mtfcking insatiable beast that lives caged inside of your subconscious and controls you to: GET MORE INFORMATION!!!
Since you cannot control the amount in which Ne controls you (you actually can tune it up or down, but that's besides this point now, ask me later), you'll be bombarded with huge amounts of information that cannot be processed, here Ti will come in hand to judge out most of what Ne perceives and only leave what is most useful. That's why it is said INTPs think in systems and ideas, since that's the most efficient way to store huge amounts of information, that's also the reason why the Ti-Ne axis is a logical interaction, since logic is the patterns that emerge from phenomena, and Ti looks for that patterns in the information Ne gathers.
One other thing to introduce here is the notion that Ne doesn't care if the information is true or false or imaginary or real, Ne wants information, and if he can get it from inside your imagination, it will.
Ti is an internal judging process, it is the function which decides how to judge and what to do with the information Ne inputs.
Ti is like that game where you are given 2 almost identical pictures and you have to identify the differences. One of the pictures will always be new information, the other, past information (knowledge). So Ti is always checking differences between new information and past knowledge. If Ti can be described in one sentence it would be that: Ti is checking differences between past and new knowledge.
And since most of the knowledge we have is stored as an idea or pattern, then the new information has to be coherent with that of what we already know. In fact, the process is purely statistical, the more information Ne gathers, the more patterns you can identify, the stronger the pattern reinforces itself with new information, the truer it becomes.
Then the mystical INTP genius stereotype gets it Achilles' heel, you can be bombarded with wrongful information about the world and the patters and ideas you'll store will be as convoluted as the information you have been fed with.
-The INTP in social situations-
It all starts with Ne, since its mantra is "GET MORE INFORMATION!!!" the INTP will not interact (to perceive others in its natural way) initially, always observing from a detached position, in social events with enough people the information that the INTP can gather from a detached position is usually enough to maintain him in this aloof state for long periods of time.
As new information gets depleted, the INTP follow through with neutral interaction with people, never revealing (what may be an eccentric personality) and always putting a last time restrain to comments that would blow up the cover. The INTP will usually hold off on inquisitiveness if the other person is giving willfully good amounts of information. It is usually the case with extroverted types that the interaction will go just as planned , since they will love to have someone to listen to them and you will be very pleased with the information you're being given for free. It is common that these types get a good impression of INTPs (without even knowing them) and affection and follow-up are required by them, often times becoming a burden for the INTP since the information that was given was already processed by the Ti and the conclusion was: No more information needed.
Being figured out by an INTP is practically good bye forever for many people, and emotions usually are the core ingredients of one's personality, so when they are left raw to be seen, you're giving the INTP a free pass to know you from the inside, which will make the interaction less durable.
Social interaction for (healthy) INTPs is very much like the scientific method: observe, Ti makes hypothesis, ask questions that will prove or disprove the hypothesis; be proven wrong and go back to step 1, or be proven right and reinforce the proof by observing and asking more questions.
In this need to gather information and reach a conclusion INTPs can not be the center of the attention, so in order to maintain focus on the other person INTPs will have to rely on lies and acting to more successfully figure people out, this aspect of the INTP personality is called: the chameleon.
The core of this process not only manifests itself socially, but in different areas when information is needed and is hard to get.
It is another stereotypical characteristic of the INTP to make wild, false or exaggerated arguments in a discussion, just to know better the general understanding and knowledge of the opponent. This is often times taken badly and the INTP will be branded a clown or not a serious debater, which comes as very frustrating for the INTP.
Another dynamic of the Ti-Ne axis that comes out very stereotypical of the INTP is the "grammar nazi syndrome" and it comes off as this: When someone, for example, is telling us a story about something common that happened in her life. Normally the rhythm in which someone is giving us information is not enough to satiate the Ne beast, so Ne will be creating imaginary directions the story might be taken, the beast is temporarily satiated, Ti takes control and analyzes all the imaginary directions we have given the story, checks with has already been said and makes a decision over what is the most possible outcome.
Then we wait for the person to tell us something we already "know", if the person omits certain details that were necessary to build the imaginary story we made, then we correct the person, also if the person uses a word that doesn't represent entirely the visual story that we made in our mind, then the person gets corrected too.
...Im tired now, more to come later, also, remind me of those strange INTP characteristics that seem to permeate in all (or most) INTPs.