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:
“Whoever will imagine a perpetual confession of ignorance, a judgment without leaning or inclination, on any occasion whatever, has a conception of Pyrrhonism.”
—Michel de Montaigne (1533–1592)
“What a dissimilarity we see in walking, swimming, and flying. And yet it is one and the same motion: it is just that the load- bearing capacity of the earth differs from that of the water, and that that of the water differs from that of the air! Thus we should also learn to fly as thinkers—and not imagine that we are thereby becoming idle dreamers!”
—Friedrich Nietzsche (1844–1900)
“Every age has its temptations, its weaknesses, its dangers. Ours is in the line of the snobbish and the sordid.”
—Rutherford Birchard Hayes (1822–1893)
“The worker can unionize, go out on strike; mothers are divided from each other in homes, tied to their children by compassionate bonds; our wildcat strikes have most often taken the form of physical or mental breakdown.”
—Adrienne Rich (b. 1929)