Mostly known from the title of the boxset of Aliens-series films, "Alien Quadrilogy." An awkward mix of Greek and Latin, seen as incorrect by some linguists (despite the common word "television" being a similar combination of Greek and Latin). The Latin-rooted word "tetralogy" means the same thing and avoids the awkwardness.
The first two parts of the Alien Quadrilogy are considered masterpieces, while the last two parts are considered duds.
The studying of four logics. In this new age, studying only one logic just isn't enough. Also a fancy way of doing nothing that sounds like a lot. Can be used to Impress the opposite sex.
Hottie girl says: "Hey, what do you guys do for living?"
Guy #1 says: "I'm a doctor"
Hottie girl says: "Typical!"
Hottie girl says: "What about you guy #2?"
Guy #1 says: "oh, i'm a Quadrologicalist, studyingthe power of Quadrologicology"
Hottie girl says: "Ooooohhhh, take me NOW!"
Used by ignoramuses who can't spell "quadrilogy" or "tetralogy", which are the commonly-accepted terms for a compound work consisting of four distinct works.