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This is a hard question to think about, or even to fully specify. It's particularly hard when one uses language to think about it.
This doesn't mean it's impossible, though. Mathematicians have figured out powerful ways of reasoning about infinity, using purely finite processes of reasoning.
Another analogy is to the way computer scientists have gradually developed more powerful ideas about programming languages: things like Lisp macros, lazy evaluation, higher-order functions, etc. These ideas were, in some sense, discovered, & can transcend earlier ideas.
You already listed math, which I’d argue is a powerful, if narrow, tool. You might also argue that different modes of story telling, poetry, novels, film, modern journalism, etc. each follow and invented structural form that supersede basic language
This https://twitter.com/tsvenson/status/993950405326528512 … TED-talk about how law haven't yet got digitized is interesting about how we can reason about language in improved ways.
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