Mathematizing a fields is a bit of a double edged sword though and I think needs a great deal of skepticism and caution. Yes, if you do it right you can get in

Mathematizing a fields is a bit of a double edged sword though and I think needs a great deal of skepticism and caution. Yes, if you do it right you can get insights and prove things more rigorously. If you do it wrong, the mathematics can easily become divorced from reality: it really does require ongoing skepticism and awareness of the connection between whatever mathematical abstractions you've built and reality. In computer science, assuming constant factors in algorithms don't matter is a useful approximation that makes it much easier to do mathematical analysis. But constant factors are very important in practice. Also, plenty of academic economics research has gone off the deep end with more and more elaborate mathematical models based on assumptions that don't jive with reality.