I am an INXP personality, a 50/50 split between INTP and INFP. This is an Introverted iNtuitive Thinking/Feeling Perceiving personality, which represents less than 1% of the population. Some examples of these two personality types include:
Keirsey Temperment Sorter - Jungian Personality Test

INTP "Architect"INFP "Healer"
Albert EinsteinWesley Crusher
SocratesCalvin (as in Calvin and Hobbes)
Blaise PascalA. A. Milne
Carl JungWilliam Shakespeare
Brent SpinerHelen Keller

" Who are you? " asked the Caterpillar.
So did the Vorlon.