And "languages " (I think you mean linguistics) are now heavily using (applied) statistics, especially since corpus linguistics became mainstream. The other issue is that "traditional" linguists usually "somewhat" lack their statistics background and thus the methods are creeping in very slowly, and often there is a tension between traditional and computational linguists.

Literature (if you mean literary theory) is much slower on the uptake, but even there some people admit that these new ideas about calculating number of words and their distribution can help sometimes.