You know what's difficult about calculating in chess, is that you have to have to disbelieve what your own eyes are telling you!!! You have to pretend there is a piece here now when your eyes are showing something else, and you have to say there is an empty square there when your eyes show differently.
Good point. I once tried to train my visualization by following a game "blindfold" with only sight of the starting position. After about 10 moves the board just became a distraction and I closed my eyes, and it was like a weight was lifted off my back. It was so much easier to move the peices entirely in my head.
Well, what if you could pick a better best move than the computer? That's what I'm talking about.
It is not theoretically impossible...but good luck...from what I have gathered, the level they can currently play at is basically humanly impossible to match, let alone defeat. Kasparov's 2nd go around with deep blue pretty much proves this. The computers are much better since then.
You would literally have to have an opening completely calculated to have a chance.
Strong players do it all the time. I'd randomly guess that the best humans understand at least 10% of chess positions better than computers.
Even if I'm wrong, it seems you're putting way to much faith in engines. The fact that they, and centaurs, still lose to eachother shows that they don't also know the best moves.
The problem is, I don't know where you get your numbers, so I have no idea how accurate they are. There are positions that computers evaluate incorrectly, but there are surely lots of positions strong human players evaluate incorrectly as well.
I will warn though that when studying with an engine, one should play out many moves into the positions it spits out at them, before trusting the evaluation attached to it. A lot of times a computer thinks a position is promising for a while but then suddenly changes its mind drastically. In particular, I find computers incorrectly judge positions where optically it seems nice for one side, but that side doesn't have a clear plan of how to improve their position.