Lecture VII

You see, in very early times, instinctive clairvoyance established mathematics on the basis of this very real situation: cosmic space with its three dimensions and a point of view everywhere at infinity; the sphere and the centre which is oneself. This was the starting point for the mathematics of old. Today the science has become abstract and deals only in formulae, not reality. But if we consider it in an inner way, as we have been doing, we can still get a feeling for the way in which the science which modern mathematicians are forced to put before their mind’s eye as a system of co-ordinates, or polar co-ordinates, originates in the inner structure of the universe.