Pretty much every field uses some math except maybe social science, political science, history, languages and literature.
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.
I have started to put together a sort of curriculum for learning the subjects that lend themselves to rationality. It includes things like experimental methodology and cognitive psychology (obviously), along with "support disciplines" like computer science and economics. I think (though maybe I'm wrong) that mathematics is one of the most important things to understand.
Eliezer said in the simple math of everything:
I want to have access to outlook-changing insights. So, what math do I need to know? What are the generally applicable mathematical principles that are most worth learning? The above quote seems to indicate at least calculus, and everyone is a fan of Bayesian statistics (which I know little about).
Secondarily, what are some of the most important of that "drop-dead basic fundamental embarrassingly simple mathematics" from different fields? What fields are mathematically based, other than physics and evolutionary biology, and economics?
What is the most important math for an educated person to be familiar with?
As someone who took an honors calculus class in high school, liked it, and did alright in the class, but who has probably forgotten most of it by now and needs to relearn it, how should I go about learning that math?