I am struggling to understand what is new here - other than the word ruliad - which to me seems to similar to what we have in theoretical computer science when we talk about languages, sentences, and grammars.
https://en.wikipedia.org/wiki/Chomsky_hierarchy
But maybe it is more like fractals and emerging complex systems?
For some reason he doesn't like doing mathematical demonstrations so he shuns the practice of doing them, and invented a new word to describe that way of using formal systems.