[Haskell-cafe] Ordering vs. Order

Hi all, I'm not a native English speaker and recently I was wondering about the two words "order" and "ordering" (the main reason why I write this to the Haskell mailing list, is that the type class "Ordering" does exist). My dictionaries tell me that "order" (besides other meanings) denotes an ordered structure on elements and "ordering" (as only meaning) denotes some request that I made at some entity. So, to me it seems that calling the type class "Ordering" is wrong ;) However, I do know that there are many publications about "ordered structures" which use the word "ordering" (most of which I'm aware of, not by native speakers). What do native speakers have to say about that? best regards chris