Where the extraversion of the iNtuition function becomes obvious is during discussions, especially heated ones. In contrast to INTJs, an INTP will often make controversial, speculative points of argument, often annoying the discussion-partner, and make them in such a way as to leave the impression that he is very serious about what he says. In reality, the INTP is not actually even certain himself whether he really stands by what he is saying, but his Ne strongly suggests that there must be a core of truth there. The purpose then of his outspoken style of argument is to sharpen his own intuitive understanding by testing the reaction of the listener, and indeed to examine the logic of his own arguments in real time while speaking them out. On occasion, INTPs may seem brash and tactless, but for themselves it is part of their way of getting closer to the truth. This is another aspect of the Ne grappling with the external world (in this case discussion with another) to understand it. The Ne provides the raw material for the Ti core to analyse. The INTJ, on the other hand, with Ni dominant and Te as secondary, tends to avoid letting uncertain speculative ideas out in the open: he presents a more considered structured viewpoint to the world while holding his private thoughts free for intuitive reasoning. The INTJ resembles a chess player, ruminating on the possibilites and then making decisive accurate moves. If the INTP played life as chess, he would keep wishing to modify the allowed-move-properties of his various pieces to optimise his strategy, find that that isn't allowed, and ask to start the game afresh! The ENTP chess player would indeed modify the rules to his advantage and complain that the standard rules were inadequate! The ENTJ would play by the standard rules but insist on making the moves for his opponent as well !
Extraverted iNtuition has a strong influence on how the INTP views his own interaction with others. It is the Ne above all that the INTP most loves to show others. He is therefore happy to be seen as somewhat eccentric, innovative and perceptive. In dreaming about what he would like to become or achieve, his goals are invariably highly individualistic. He must become the composer, the solo performer, the genius scientist who makes the unique discovery. If he is to be noticed at all, then he must be centre stage. If he can't be centre stage in an area of interest, then he must withdraw and resort to vitriolic criticism. But in all areas which interest him less he happily leaves to others and observes. With an INTP it is either all or nothing. Half-efforts he dislikes just as much as he dislikes the restrictions of teamwork and co-operation.
Humour is another aspect which marks out the INTP. He can readily dream up jokes about almost any situation. Taking things out of context is the chief source of humour and many an INTP is a Monty Pythonite. The Ne is the engine and source of this joke-generator. Needless to say, the humour of an INTP can be pretty zany and warped and may not be understood easily by others. The problem is that the Ne concepts for jokes are put into a structure only by the Ti. Hence, the humour can become black and tactless, having felt little Feeling input. Funnily enough, INTPs are dreadful tellers of jokes (which seems to be more the domain of those with Se), perhaps because they pay too little attention to detail when speaking spontaneously. If you see someone smirking and laughing at some private thought, without any obvious reason, he's probably an INTP. INTPs may however make good comedy writers, with the humour of Woody Allen being particularly liked.
http://www.typologycentral.com/wiki/index.php/INTP
Thanks for the prankful reminder.

Often I contemplate doing weird stuff. Then there is a voice within that telling me "NO!". Let me just say that I was less restrained as a child.