Going Quadrupolectic

It's time to transcend the analytic paradigm that is the dialectic! Therefore, Murky Thoughts hereby introduces quadrupolectical analysis.

Actually, I just wanted to post the word "quadrupolectical" to the Web--in a kind of open-source gesture. I don't know where or how it will come in handy, but it's just bound to, don't you think? Why settle for dialectic when you can have quadrupolectic?