I don't know a lot about them (learned a little bit in college), and I admit I had to brush up on wikipedia before commenting. You'll note that I explicitly described my (former) field ("the Schrodinger equation") as being narrow in scope relative to the concept of probability. I didn't even bother mentioning exponential asymptotics since it's so obscure that most people need not even know it exists. It's a neat mathematical tool, useful for a few purposes. That's all.

Look, you use probability and the concept of GIGO everywhere - computing, sociology, physics, business, etc. Most people will never have any need for exponential asymptotics, oppression theory or the mechanics of securities markets.

Here is a diagram that most academics need to internalize: http://matt.might.net/articles/phd-school-in-pictures/