I'm mixing up my philosophers, but I think either Aristotle or Socrates had lists of of opposites of what is and what is not or something like that. Chaos and order are on opposite sides in this system. I'd look into stuff like that or maybe Yin-Yang in Eastern philosophy to build these elements. 

Basically I'm saying that instead of creating a whole new order vs chaos thing, build off of an existing one. Because there are [i]plenty[/i] and it'll be easier to explain to players in your role play.