Again, what a great article with such a great ending! I love those mini-paradoxes with the poetic flourishes at the end.
As for math being a language, that's precisely how I see it. Math is a language but one that has or tries to have no ambiguities. That makes it both useful and limited. Any field that is not yet sufficiently understood requires natural language which allows making statements that can cover for some of the ambiguities yet still make progress in organizing thoughts. Only when a field matures sufficiently can mathematics be used productively. That is what I see happening with biology now with the efforts to 'create' the in-silico cell.
For the greatest mysteries and the biggest challenges to thinking, the only language that has any chance of saying anything is art such as poetry, music, visual arts and dance.