The phrase "tertium quid" (or "third option" in Latin) refers to something that exposes a dichotomy as false. A tertium quid is not somewhere between the two options (grey is not a tertium quid to the dichotomy of black vs. white), but rather something entirely new, something that escapes the one-dimensional line between two options.
TQ is the personification of this idea. He is an abstraction, and proud of it.
....and so on. This will become interesting later, I promise.