Through examples of this kind we gain insight into the nature of the chemical ether as a 'magic' force (in the sense in which we have introduced this term at the beginning of the book). What the chemical ether is capable of effecting in a gentle manner, so to speak, in cooperation with the inertness-overcoming power of the warmth-ether, can be imitated physically only by an extraordinary concentration of external energy and the use of masses of material substance. At the same time the imitation is never complete. For to all that happens through the action of the chemical ether there belongs the quality of cosmic youth, while everything brought about in a purely physical manner is of necessity cosmically old.8 Of all the provinces of nature towards which man's exploring eye has turned since the dawn of the onlooker-consciousness, none has furthered his purely quantitative thinking more than chemistry, ever since the discovery that the chemical reactions of the various substances are conditioned by a quite definite and constant numerical relationship. It was these relationships which impelled the rise of the atomic conception of matter and all its consequences. For since the onlooker-consciousness is quite unable to conceive the existence of numerical relationships in the physical world except as sums of computable units in space, it was natural for this type of consciousness to reduce all empirically established numerical relationships to correspending relationships among quantities of the smallest possible material or matter-like units. Scientific thinking, if guided by knowledge of the existence of etheric forces and their action, has no need of such an interpretation of the numerical relationships revealed in the physical world; for it knows them to be nothing but the last expression of the action of the chemical ether (hence occasionally also called 'number-ether' by Rudolf Steiner). To do justice to the appearance of measurable numerical relationships in nature, in whatever sphere, it is necessary to free ourselves from the abstract conception of number which governs modern scientific thought and to replace it by a more concrete one. We shall rind that for the existence of a certain number there may be two quite different reasons, although the method of establishing the number itself is the same in each case. A simple example will illustrate this.