And how exactly is the structure of the world transformed into a structure of language? Chomsky would say through a universal grammar, which is a framework through which you can set up ways to encode the structure in the world as words.
This implies that the combinatorial space of possible grammars is large. If it isn't, then the structure of the universe would imply a narrow set of possible workable grammars.
The combinatorial space of languages is obviously infinite, but is this so for grammars? If not then you would expect many languages to share the same grammars.
Seems analogous to the same question about mathematics. Are there many different possible arithmetics? No. There are infinitely many ways to express arithmetic symbolically but there is only one arithmetic. 2 + 2 never equals 5.
