You don’t see something until you have the right metaphor to let you perceive it

Billions of years ago there were just blobs of protoplasm; now billions of years later here we are. So information has been created and stored in our structure. In the development of one person’s mind from childhood, information is clearly not just accumulated but also generated—created from connections that were not there before

In reality, a river's basic shape... is not a line but a tree. A river is, in its essence, a thing that branches... Although it flows inward toward its trunk, in geological time it grew, and continues to grow, outward, like an organism, from its ocean outlet to its many headwaters. In the vernacular of a new science, it is fractal, its structure echoing itself on all scales, from river to stream to brook to creek to rivulet, branches too small to name and too many to count.

Of all the possible pathways of disorder, nature favors just a few.

it struck me as an operational way to define free will, in a way that allowed you to reconcile free will with determinism. The system is deterministic, but you can’t say what it’s going to do next.

the brain does not own any direct copies of stuff in the world. There is no library of forms and ideas against which to compare the images of perception. Information is stored in a plastic way, allowing fantastic juxtapositions and leaps of imagination. Some chaos exists out there, and the brain seems to have more flexibility than classical physics in finding the order in it.

IN THE MIND’S EYE, a fractal is a way of seeing infinity.

Simple shapes are inhuman. They fail to resonate with the way nature organizes itself or with the way human perception sees the world.

One simple but powerful consequence of the fractal geometry of surfaces is that surfaces in contact do not touch everywhere. The bumpiness at all scales prevents that. Even in rock under enormous pressure, at some sufficiently small scale it becomes clear that gaps remain, allowing fluid to flow.