Language is infinite but the generating process (i.e. our brains or computers) are finite. The generators come in two flavors: rigid rule based (like Chomsky su

Language is infinite but the generating process (i.e. our brains or computers) are finite. The generators come in two flavors: rigid rule based (like Chomsky suggests) or stochastic (more modern view). The stochastic generators are obviously more powerful but difficult to "understand". Unfortunately, we associate the word "understand" with ability to have complete list of static rules. In my opinion, probabilistic rules are also as much "understable". Then there is dynamical probabilistic generators which I think our brains aren't evolved enough to truly "understand".