When I mentioned I wouldn't be continuing with Economics after I graduated, one professor asked my why. I said that I had wanted to find a theory with the same mathematical elegance as classical economics (i.e. general equilibrium theory) but found that there didn't seem to be such a theory left to discover. Almost everything beyond classical economics was mathematically shallower (not to say it was wrong or poorly thought out, just that deeper mathematics wasn't applicable).
So while mathematics is very effective in Physics, and I believe it will remain so, I am highly skeptical whenever I see people trying to apply deep mathematics outside physics and chemistry. Some things just don't seem amenable to mathematical laws.
So while mathematics is very effective in Physics, and I believe it will remain so, I am highly skeptical whenever I see people trying to apply deep mathematics outside physics and chemistry. Some things just don't seem amenable to mathematical laws.