The Divided Line: Day 97
Which side do you stand most days… The visible world, the shadows and reflections of physical things. Illusion, Belief. The intelligible world of mathematical reasoning.
Some Plato: (from wiki for speed)
Now take a line which has been cut into two unequal parts, and divide each of them again in the same proportion, and suppose the two main divisions to answer, one to the visible and the other to the intelligible, and then compare the subdivisions in respect of their clearness and want of clearness, and you will find that the first section in the sphere of the visible consists of images. And by images I mean, in the first place, shadows, and in the second place, reflections in water and in solid, smooth and polished bodies and the like.
Imagine, now, the other section, of which this is only the resemblance, to include the animals which we see, and everything that grows or is made.
There are two subdivisions, in the lower of which the soul uses the figures given by the former division as images; the enquiry can only be hypothetical, and instead of going upwards to a principle descends to the other end; in the higher of the two, the soul passes out of hypotheses, and goes up to a principle which is above hypotheses, making no use of images as in the former case, but proceeding only in and through the ideas themselves.