Visualizer for the Von Neumann Ordinals

Arihant Gadgade
Date Published: 11/11/2024

Motivation

From Wikipedia:

WikiDef

However, we know the empty set, ∅, can be represented as {}, so I wanted to see what the ordinals looked like completely as braces.

Code and Visualization

Mathematica code to construct the Von Neumann Ordinals:

WLvno

So now let's see what the natural number 10 looks like:

ord10

Ok, we see that is huge!
We know from before that this is 2048 braces. Luckily we use Hindu-Arabic numerals, because that would be completely unreadable.