Sublime

But at least as of now we don’t have a way to “give a narrative description” of what the network is doing.

But an important feature of neural nets is that—like computers in general—they’re

It’s not surprising if you couldn’t find the words to describe how you tie your shoes. Most likely, you didn’t even try. Writing mathematics, that is, transcribing mental images with enough clarity and precision to allow others to understand and reproduce them, is an art.

And with computers we can readily do long, computationally irreducible things.

But this isn’t the right conclusion to draw. Computationally irreducible

The coordinates of cities and algorithms to compute distances between

In practice, however, from the beginning lines of a math book we’re faced with a huge problem: it’s fantastically difficult to explain a mental image in words.