Lecture Eleven

Now I will ask you carefully to consider the following. It is first of all necessary to understand from inner grounds the movement of the Earth. We must recognise the influence upon it of the Venus and Mercury forces, which themselves bear the lemniscate on further, so that it progresses, and its axis becomes itself a lemniscate. We have thus for the Earth an extremely complicated movement. And now I come to what I wish to point out. Suppose we have to draw this movement. Astronomy tries to do so. Astronomy wants to have a planetary system; it wants to draw the solar system and explain it by calculation. Planets such as Venus and Mercury, however, have relation to the extra-spatial, the super-sensible, the spiritual, to that which does not originally belong in space, but has, as it were, come into it. Thus if you have the paths of Saturn, Jupiter, Mars, and, in the same space, draw in also the paths of Mercury and Venus, you will get at most a projection of the Mercury or of the Venus orbit, but in no sense the orbits themselves. If we employ the three-dimensional space to sketch in the orbits of Jupiter, Saturn and Mars, we come at most to a boundary, where we get something like a path of the Sun. But if we wish to draw the others, we can no longer do so in the three-dimensional space, we can only get shadow-pictures of these other movements in it; we cannot draw the path of Venus and that of Saturn in the same space. From this we see that all delineations of the solar system where the same space is used for Saturn as for Venus, are only approximate, they do not suffice for a solar system. Such drawings are as little possible as it would be to explain the whole being of man according to purely natural forces only. This shows why no solar system is adequate. A non-astronomer such as Johannes Schlaf could easily prove to quite well-established astronomers the impossibility of their solar system by very simple facts, pointing out that if the Sun and the Earth are so related that the latter revolves round the former, the Sun-spots could not show themselves as they do, the Earth being at one time behind the Sun, at another in front, and then going round it again. That, however, is in no wise the case. No drawing of our solar system that is inscribed into one space of the ordinary three dimensions will be right. We must understand this. Just as in the case of man, in order to understand him as a whole we must pass from physical to super-sensible forces; so in the same way, to understand the solar-system, we must pass from the three dimensions into other dimensions. That is to say, we cannot delineate the ordinary solar system in the three-dimensional space. Planetary ‘globes’ and so forth we have to look at in this way: If here we have Saturn on the globe and there Mercury, then it is not the true Mercury but its shadow only, its projection.