Labyrinth Quotes
Philosophy is written in this grand book, which stands continually open before our eyes (I say the 'Universe'), but can not be understood without first learning to comprehend the language and know the characters as it is written. It is written in mathematical language, and its characters are triangles, circles and other geometric figures, without which it is impossible to humanly understand a word; without these one is wandering in a dark labyrinth.
Galileo Galilei
We have not even to risk the adventure alone, for the heroes of all time have gone before us - the labyrinth is thoroughly known. We have only to follow the thread of the hero path, and where we had thought to find an abomination, we shall find a god; where we had thought to slay another, we shall slay ourselves; where we had thought to travel outward, we shall come to the center of our own existence. And where we had thought to be alone, we shall be with all the world.
Joseph Campbell
Imagining the future is a kind of nostalgia."
"Huh?" I asked.
"You spend your whole life stuck in the labyrinth, thinking about how you'll escape it one day, and how awesome it will be, and imagining that future keeps you going, but you never do it. You just use the future to escape the present.
John Green (author)
A man sets out to draw the world. As the years go by, he peoples a space with images of provinces, kingdoms, mountains, bays, ships, islands, fishes, rooms, instruments, stars, horses, and individuals. A short time before he dies, he discovers that the patient labyrinth of lines traces the lineaments of his own face.
Jorge Luis Borges
To appreciate the nature of fractals, recall Galileo's splendid manifesto that "Philosophy is written in the language of mathematics and its characters are triangles, circles and other geometric figures, without which one wanders about in a dark labyrinth." Observe that circles, ellipses, and parabolas are very smooth shapes and that a triangle has a small number of points of irregularity. Galileo was absolutely right to assert that in science those shapes are necessary. But they have turned out not to be sufficient, "merely" because most of the world is of infinitely great roughness and complexity. However, the infinite sea of complexity includes two islands: one of Euclidean simplicity, and also a second of relative simplicity in which roughness is present, but is the same at all scales.
Benoît Mandelbrot
The nature of man remains ever the same: in the ten thousandth year of the World he will be born with passions, as he was born with passions in the two thousandth, and ran through his course of follies to a late, imperfect, useless wisdom. We wander in a labyrinth, in which our lives occupy but a span; so that it is to us nearly a matter of indifference, whether there be any entrance or outlet to the intricate path.
Johann Gottfried Herder