The lattice of sets of natural numbers is rich (2021)

What a beautiful illustration. It makes intuitive the very abstract concepts discussed in the text. It’s fun to zoom in and browse around the structure.

If the universe contains a finite amount of information, would that disprove the existence of an infinite set? I.e. if the representation of a number contained more information than the amount of information available in the entire universe.

> The power set lattice (P(N)) of all sets of natural numbers, not to scale, some sets omitted...

(2021)

What a great visualization!

Now can your favorite LLM make me a similar one for the Real #s?