Second Lecture

You can visualize the same thing in another way: I draw two parallel lines here – I have shown this before. How large is the space between these two parallel lines? Infinitely, of course! In mathematics, as you know, this is indicated by this sign: 00. But if I now draw a perpendicular to it, and a parallel at exactly the same distance, then the current space is exactly twice as large as the previous one, but still infinite. That is, the new infinity is twice the previous infinity. You can see this very clearly here: you can see here, by the simplest means of thought, that thinking is only valid in the finite. It is unfounded and without result as soon as it goes beyond the finite. It cannot begin with the laws that it has within itself when it goes out of the finite into the infinite. But you must think of this infinity not only in terms of the very large or the very small, but also within the world of qualities.