Imagine A Line Divided
In The Republic (509d-510a), Plato describes the Divided Line this way:
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: Do you understand?
Yes, I understand.
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.
Read more about this topic: Analogy Of The Divided Line
Famous quotes containing the words imagine a, imagine, line and/or divided:
“One can hardly imagine a more healthful employment, or one more favorable to contemplation and the observation of nature.”
—Henry David Thoreau (18171862)
“That man is to be pitied who cannot enjoy social intercourse without eating and drinking. The lowest orders, it is true, cannot imagine a cheerful assembly without the attractions of the table, and this reflection alone should induce all who aim at intellectual culture to endeavor to avoid placing the choicest phases of social life on such a basis.”
—Mrs. H. O. Ward (18241899)
“When I had mapped the pond ... I laid a rule on the map lengthwise, and then breadthwise, and found, to my surprise, that the line of greatest length intersected the line of greatest breadth exactly at the point of greatest depth.”
—Henry David Thoreau (18171862)
“Events in the past may be roughly divided into those which probably never happened and those which do not matter. This is what makes the trade of historian so attractive.”
—W.R. (William Ralph)