The typical INTP is a logical, abstract thinker whose intellect is ideally suited to understanding pure mathematics, linguistics, formal logic theory, and other pursuits unsuited to making a real living. The INTP can often understand even the most subtle nuances of lattice quantum chromodynamics but cannot perform more concrete tasks such as dressing himself, operating a motor vehicle, or opening a door. An INTP may be able to tell you how to construct a nuclear reactor from a coconut and two pieces of string but may be completely incapable of fixing a hole in a boat.
The INTP is really only suited to two careers: college professor and game show contestant. Of these career choices, only one offers the financial rewards that allows him to suport himself; for that reason, INTPs often take the other path and become tenured academics.
Recreation: Surprisingly, INTPs are often the hit of the party -- not for their sometimes annoying habit of turning every discussion into a debate about semantics nor for their fascinating stories about Pierre de Fermat's habit of writing things in the margins of his books -- but for the fact that they often show up with their pants on backwards and that if you put a Post-It note reading "Kick Me" on an INTP's back, he won't notice it no matter how many people kick him. That kind of entertainment never gets old.
Compatibility: INTPs make ideal companions to INTJs, as neither of them notices they're in a relationship.
Famous INTPs include Pierre de Fermat and almost everyone who knows what Pierre de Fermat wrote in the margins of his book.