The Tetrapyloctomy department has a preparatory function; its purpose is to inculcate a sense of irrelevance. Another important department is Adynata, or Impossibilia. Like Urban Planning for Gypsies. The essence of the discipline is the comprehension of the underlying reasons for a thing’s absurdity.
There is a point to them discussing oxymorons. It's a logical extension of the above discussion of useless 'sciences', but there's necessarily an element of conspiracy theorists, the one that Sartre claimed when he said that the meaning of words don't matter to the antisemites. They will accept these backwards 'sciences' without any doubts as if they make perfect sense, even though if you were to look at them sensually then they would make none.