>math is a language, yes, but human language doesn't convert to pure math without mistakes.
hmmm...I kinda agree, but because Math is perfect, not because language isn't. But math is just...Different kind of "perfect", it's almost divine and it replicates in the universe or quarks. "As above, so below", "Your kingdom come, your will be done".
>Theoretical maximum performance
I kind of understand what you say? there is no more room to improve AI with the CURRENT models, that's half true, we can still use this "AI Language" but do bigger datacenters, you will not have a ferrari but your car will be faster.
>aren't occupied by giving an answer or checking facts
it's relative because it depends on what outcome you want it to be. If I learn about programming and ask chatgpt "hey give me this code, hey this is a mistake, fix it, hey there is another mistake" he will just give you the code and generic text. But if you TALK to the AI and ask why something happen, it can actually teach you why something is like it is, and how can you do that.
Again, only with coding and programming, I didn't test it with anything else, but it's really good to teach how to develop your skills on coding.