Natural language is a serialization format, written and spoken. Algebraic notation is also serial. We like it, are good at it; get used to it. Assuming natural

Natural language is a serialization format, written and spoken. Algebraic notation is also serial. We like it, are good at it; get used to it. Assuming natural language is the serialization format of thought (quesionable), we could have non-serial program representation when we can interface directly with thought. \aside Chomsky reckons natural language is not primarily used for communication, but as an internal linkage between concepts and perception/action. If so, why is it serial? Is it serial? Is a grammar needed if it is not serial? Perhaps structure is all that is needed, and that does not require grammar (though fits with it, via AST).