the number of possible distinct books is finite but it's unknown if the library itself is finite. iirc it ended with the narrator speculating that, although the

the number of possible distinct books is finite but it's unknown if the library itself is finite. iirc it ended with the narrator speculating that, although the books themselves are devoid of meaning, perhaps the overall structure of the library is ordered, i.e. the same finite pattern of books repeats endlessly in infinite space.