Sublime

We accepted equilibrium because it is so analytically useful, but it gives us a Platonic universe. It’s beautiful, and ideal, and pristine, and lovely, but it’s not really real.

“curse of dimensionality”—learning can become very hard when you have millions of potential levers to pull.

Well, our synapses are constantly changing, throughout our lives, and these changes reflect what we learn.

Same language, mathematics, epicycles, deferents, tables of trigonometric functions, techniques, same general structure, same meticulousness, and same immense, vast vision.

One of my favorite books, one of the few that it would break my heart to give away, is Categories for the Working Mathematician by Saunders Mac Lane. Every time I come across it, I smile to myself. This book, first published in 1971, remains a reference in category theory, the revolutionary way of seeing and thinking about mathematical structures