I would guess I'm ILI, however I do not relate to the nonemotionality, and despite keeping to myself I am quite friendly when approached.
-Irrational, because I do things in a nonlinear fashion, my sense of time in the broader sense is rather poor, and I'm a neophiliac (love novelty of environment)
-Introvert, because I much prefer others to initiate, and I seek depth over breadth
-Intuitive, because I like concepts and underlying principles
-Logic, because I am more prone to thinking about truth rather than right/wrongness, and like playing around with complex systems
Also relevant: I would consider myself INTP by MBTI, but only by the cognitive processes; by description I fall under INTP and INFP.