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:
“Would I if I could by pushing a button would I kill five
thousand Chinamen if I could save my brother from
anything. Well I was very fond of my brother and I
could completely imagine his suffering and I replied
that five thousand Chinamen was something I could not
imagine and so it was not interesting. One has to
remember that about imagination, that is when the
world gets dull when everybody does not know what
they can or what they cannot really imagine.”
—Gertrude Stein (1874–1946)
“This type of man who is devoted to the study of wisdom is always most unlucky in everything, and particularly when it comes to procreating children; I imagine this is because Nature wants to ensure that the evils of wisdom shall not spread further throughout mankind.”
—Desiderius Erasmus (c. 1466–1536)
“There is a line between a definite maybe and an indefinite yes.”
—Mason Cooley (b. 1927)
“It is not true that men can be divided into absolutely honest persons and absolutely dishonest ones. Our honesty varies with the strain put on it.”
—George Bernard Shaw (1856–1950)