Thank you for this post on Math.
I ‘like’ that you are brave to translate deep thought on mathematics. The topic is quite interesting (to some) and foundational (tower, as the title suggests). It is difficult to put mathematical concepts into words, especially Thai words and not including a glossary makes that harder to validate the your article and the reference articles. (I think, in particular one paper: All elementary functions from a single binary operator by Andrzej Odrzywołek, Jagiellonian University, Krakow, Poland should be mentioned, because this is where the [new] function eml that bridge so many [all?] mathematical constants, elementary math functions, and elementary math operations into one eml function.) Thank again for drawing my attention to this new development [which may lead to simplifying many difficult numerical computation].
[I include an excerpt from Andrzej Odrzywołek’s paper https://arxiv.org/html/2603.21852v1:
… In EML (Exp-Minus-Log) form, every such expression becomes a binary tree of identical nodes, yielding a grammar as simple as S→1∣eml(S,S). This uniform structure also enables gradient-based symbolic regression: using EML trees as trainable circuits with standard optimizers (Adam), I demonstrate the feasibility of exact recovery of closed-form elementary functions from numerical data at shallow tree depths up to 4. The same architecture can fit arbitrary data, but when the generating law is elementary, it may recover the exact formula. ]