There are two kinds of logic: the logic of external reasoning, which one attempts to learn from textbooks, and that of mental synthesis, by which one collects and links the sparks of spatial thought. These sparks may seem to be a happy accident, even though this “accident” may have been ripening in space for an entire century. The broadened consciousness provides the best possibility of grasping the nodes of spatial thought.
Of course, from the point of view of external reasoning, apparent lapses in the processes of mental synthesis can always be found. As rings of the spiral show to the observer the outer turns and conceal the inner turns, so mental logic proceeds according to the limits of the outer turns while the inner turns are still merged in the streams of collective thought in space. Hence, We take such care about the broadening of the consciousness, in order that union with spatial thought may be approached.
This must be accepted as simply as is the vital importance of oxygen. Equally simple should be the idea of the spiral nature of all that exists, and of creative explosions. Thus the breath of the Cosmos will be realized as an ascending spiral. (AY (opens in new tab), 361)