2. The Position of Anthroposophy among the Sciences

I have now described the extent to which Anthroposophy can be sure that it proceeds from “mathematicising” as strictly as the natural science of to-day—though from another point of view. Natural science applies mathematics as it has been elaborated to date. But anyone who wishes to understand clairvoyant activity must seek it where it is present in its most primitive form: in the construction of mathematical forms. If he can then raise this activity to higher domains, he will be developing something related to elementary, primitive “mathematicising” as the more developed branches of mathematics are related to their axioms. The primary axioms of clairvoyance are living ones. And if we succeed in developing our “mathematicising” by exercises, we shall not only see spatial relationships in the world around us, but learn to know spiritual beings revealing themselves to us, even with spiritual inwardness—as we learn to know the “cubicity” of a salt crystal. We learn to know spiritual beings when, in this way, we raise to higher domains what we develop by “mathematicising”.