While some may mentally track the combinations and eliminations, I believe the reason the solutions are written verbably is to explain the meaning of what you've X'd off ("not red or cream" means you have X'd those off your grid based on verbal clues", leaving you to put a 0 in "yellow", and because you have "yellow" there, and Rosabel is associated with "yellow" based on another verbal clue, you now know Mrs. Bush's name is Rosabel).
Maybe you don't keep those relationships in your mind, once you've put an X or 0 in the appropriate grid locations, but that is what those X's and O's mean.
When someone is having problems figuring out the solution, or when they've come up with an incorrect solution, is when the verbal explanation of how the solution was derived important. The person struggling then has a chance to see why they should have put an X somewhere, or why an O is incorrectly place because of missing a relationship from the clues.
On a simple to solve puzzle, or one where you've reached the solution, then the explanation is unecessary since you've determined those verbal relationships, without having to really comprehend them because the grid documents those relationships for you, and you only needed to remember a small part of the intertwined relationships long enough to get it documented in the grid. Once there, it serves as both a memory and a relationship of two items in an abstract manner, which is why it makes it easier for people to solve logic problems, because the grid does a lot of the "heavy lifting", for those of us who can have problems just remembering who/what was involved at the start of a clue by the time we're reading the end of the same clue.
Don't know how many times I've messed up on simple things like is or is not, and marking one way vs the other. One mis-mark early in a solve is a real bummer.
Last edited by passel3; 01-30-2014 at 12:04 PM.