They are talking as if language was some platonic construct like a Turing machine with an infinite tape and you are talking about the concrete reality where there are no such things as an infinite tape.
Both viewpoints are useful, they can prove general properties that hold for arbitrary long sequence of words and you put a practical bound on that length.
They are talking as if language was some platonic construct like a Turing machine with an infinite tape and you are talking about the concrete reality where there are no such things as an infinite tape.
Both viewpoints are useful, they can prove general properties that hold for arbitrary long sequence of words and you put a practical bound on that length.
The question is if human are capable of infinitely extensible language.
That's clearly false. It's not about some platonic mathematical simplification. Humans patently do not fit the Chomsky criterium for intelligence.
In fact, I'm pretty sure it's physically impossible for any real being to fit it.