Maybe that is a positive sign. When something descends from the conscious to the unconscious, we don't know how that happens, and words cannot express how it works. You learn how to push the breaks and to shift gears when you turn right, but you can't possibly tell how you calculate the right speed, how you judge the right noise of the engine and how you calculate the correct power to apply to push the steering wheel. But then again, maybe I'm just deceiving myself here.
One point springs out, when I considered 1. ... Ne6, I didn't realize the importance of f7. The alternative point of pressure f7 gives white a counter attack (1. ... Ne6 2.Rd7). This means that it must be good to cultivate the habit to look at the points of pressure
And maybe that is how we should formulate it. We have to develop a few good habits. These habits are mainly visual, it seems. Aox said:
"This "splitting of the whole problem in a sequence of sub-problems and then to solve them" costs---->time!!"
He certainly has a point here. We must not look for an algorithm that guides our logical thinking. I have tried that a few times in the past, and the trade-off between better thinking and time usage has always been negative. Not to mention the drain of mental energy.
This means that it is not quite clear how to proceed. As said, it is probably best to cultivate a few good habits. The algorithm I'm busy to develop isn't a goal in itself. It is meant to identify the habits we need to cultivate.
Take for instance the following position:
|Diagram 1. White to move|
4r1k1/pqr1pp1p/p1Nn2p1/3P4/5QP1/8/PP1R1P1P/4R1K1 w - - 1 1
What habit do we need to cultivate in order to transfer something from this position to similar positions? Feel free to comment already. I will update this post later.
What do we fancy that our RC-chess module should shout in our ear here?: Rb8!!
I have seen this mechanism working over and over again the past months. The moment my attention is guided to the right place of the board, the missing piece of the puzzle immediately pops up.
Every square of the board is screaming for our attention. Some squares shout harder than others. b8 is not screaming hard enough, so its sound drowns in the overall background noise, and is overpowered my the squares that seems more interesting.
What is so special about b8? What makes it different from c8 or a8? The difference is of course that the white knight and the white rook converge at b8. Chances that you can post a rook on b8 safely are higher than that you can post it on c8 or a8.
We can know beforehand, that converging squares are going to play a crucial role in any combination. So if you are stuck while forward thinking, you can start to look at the converging squares of the second order. If the squares of the first order don't work. There is no reason to look at non convergence squares.
The unconscious mechanism to let pop up the right solution is already well developed and put into place. The only thing that is missing to ignite it, is the little spark of attention that leads us to b8.
Of course it would have been nice if the black queen was recognized as a sitting duck during the initial scan of the position. But I already identified the points of pressure and the lines of attack as a toolkit to help to find the most immobile pieces. The black queen has five squares where it can stand safely, so it doesn't look immobile until a rook appears on b8.
Robert Coble cited mr. Lasker:
THE METHODS FOLLOWED IN THE ANALYSIS OF A GIVEN POSITION BY COMBINATION AND BY THE CREATION OF PLANS ARE DIFFERENTIATED BY THE DIRECTION OF THE UNDERLYING THOUGHT. THE COMBINATION-PLAYER THINKS FORWARD: he starts from the given position and tries the forceful moves in his mind; THE POSITION-PLAYER THINKS BACKWARD: he conceives a position to be arrived at and works toward that position of which he is more conscious than the one on the board. He "sees" successive stages of the position aimed at and he visualizes the stage in a reverse order. If one position, according to his plan, is to follow another he "sees" the one that is to follow first and he deduces, as it were, the anterior position from it.
To be honest, I was a little worried by this citation. It seemed as if the adult-chess-tactics-improvement-method I'm developing is different from the young-prodigy-way-of-chess-tactics-improvement-method. It is unlikely that nature is so prodigal that it allows two different ways, one by forward thinking and one by backward thinking, to learn the same skill, and that the end product of both ways will be equally effective.
But Aox put me on the right track again by pointing out the danger of introducing slow thinking into the method.
I'm sure that the young prodigy has picked up a few obvious idea's along the way, and has made looking for convergence squares of the second order a habit long ago, while even not remembering that fact consciously later on. And we should do the same.