That said, binary classification (object A is a member of class B, a function with a boolean truth value) is the basic concept in classification. That is, any classification can be represented correctly with binary classification.
There really are a few things where you assign something a category from a finite set (like a chess game was won by "White", "Black" or was a draw) but frequently when people build ontologies based the idea that "A is a member of one of this set of categories" they are going to screw it up.