Here is a nice initiative of a group of econ students. The transatlantic, Journal of Economics and Philosophy. The first issue is about economics and science. Both the editorial and the two guest articles lament what they view as a mechanistic perspective to economics and disproportional math training in econ schools.
According to Tony Lawson, mathematics entered economics as a side effect of a failed attempt to achieve the predictive power of natural sciences.
If there is a laudable justification for emphasis of mainstream economists on using mathematical formalism, it is the desire to be scientific in the sense of natural scientists. The latter, after all, do regularly achieve success in advancing human understanding. A less laudable justification is to pose as scientists merely in the hope of acquiring a certain status in society.
Actually, there are other justifications. Even if you don’t want to predict anything, you may still want to formulate your ideas using mathematical toy models, to increases clarity and reduce ambiguity. Mathematics is just a language which is useful to convey ideas in unambiguous ways. Personally, I have an even less profound justification: I like doing math. It’s fun.
Anyway, good luck with the journal guys ! and since you don’t like math I hope they won’t force it on you !
(h/t Jeff Helzner)