But it is impossible to arrive at all such Mating positions by a systematic process, in a methodical fashion. And, since Chess is not to be played at haphazard for any length of time, that circumstance is highly significant. Hence, we must distinguish between those of the above Checkmates that can be arrived at by force and those that can be gained only through intervention of the error or hastiness or bad judgment of your opponent.
A systematic process is always, this way or that, the drawing in of a logical net. When the hostile King is aimed at, systematic progress is possible only in the direction of a diminution of the mobility of that piece. The direction of the process being thus determined, the final aim being one of the Checkmating positions, the problem is clearly put and its solution requires little pains.