If I gave you three containers each with different amounts of information in them, but you have no way of finding out how much information each contains, how are you going to order them?
Pretend information has weight. I can put the three containers on a board with a fulcrum in the center and find the heaviest, lightest, and in-between. But I still have no idea how much each container weighs.
All I need is a binary comparison that determines A is greater than, less than, or equal to B. I don't have to be able to assign a numeric amount to A and B to compare them.
Similarly, determining whether or not
does not necessarily require evaluating
or
Edited by Admin, : Latex rerendered.