IX. Pictorial Representations as a Necessary Educational Tool for Mental Training

Sensual thinking and imagining is anything that starts from the sensual perception of the objects around us. If you form your ideas in such a way that you first look at an object, perceive it, and then keep it in your memory, and your thoughts are such that you are stimulated by such ideas, then you have sensual thinking. This thinking fills by far the greatest part of the soul experiences of the present human being. And when a person examines himself to see how much remains to him when he throws out of his soul all ideas that are caused by sensory perception, then he will first become aware of what content is still there in the soul. When the ideas that were stimulated by external impressions have been removed, then he will grasp what the Greek philosopher Plato meant when he wrote over the entrance to his school, “No one unfamiliar with geometry shall enter.” This means that no one should enter who has not been able to rise to thinking free of sensuality. He did not demand ordinary geometry. Nor is it required today by those who want to ascend to higher worlds. Nor would it be necessary today for intrinsic, objective reasons. But from geometric representations one can form an idea of what thinking is that is free of sensuality. If you put three beans here, add three more beans, and another three beans, then you can learn from this sensual impression that 3 times 3 = 9. The child or primitive man learns it by the fingers. This is sensual thinking. When you no longer need the fingers or the beans, but when you learn the same thing through pure mental contemplation, then it is sensual-free thinking. The child starts learning from a bridge [beans or fingers] and only later rises to sensual-free thinking. If we draw a circle on the blackboard, it is not really a circle; what we draw there is a collection of little chalk mountains. You will not be able to grasp what a real circle is with sensory perception alone. Only the spiritually viewed, inwardly constructed circle is free of sensuality.