Mathematics is a basic domain to study laws on number and configuration, and mathematics is an important and convenient tool for researching, thus making all subjects mathematically is a main direction in researching work, do you agree it?
Typically, mathematics approaches are appealing by the strict and clear formulation of statements. Language, however, is based much more on ambiguity. That may impose restrictions to the application of mathematical concepts to real world texts.
Using language, we can usually describe a phenomenon or an event even when we do not comprehend it at all. In order to describe it mathematically, we need instead a functional model of it. Which means that language is more universally applicable than mathematical models, while the latter allow us to get control of (not necessarily to really understand) the functional details of phenomena and to be able to make predictions. In Science, that is what we are after, so it looks to us as though describing everything mathematically were an absolute imperative, but actually it is to some extent just a professional bias.
I think that methods of machine learning, specialy reinforcement learnig, are suitable for such research
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