A bold questions you refuse to answer.

Is the language of set theory a good language for describing the world?

Are there sets in reality?

Why sets don't have dynamic state, like everything in programming has?

>>1
Google "Viable Systems Model".

Set Theory is obviously not enough by itself. You need a "framework" for that, and Cybernetics is a good one.

inb4: some fag that confuses cybernetics with robotics and AI.