Sometimes I long to have a profound thought or to encounter one. When I was doing my education, I encountered them often. I don't know if you've ever felt the way I used to feel when something would blow my mind. I'm trying to think of an example. One that comes to mind is when I began to think that universals are aggregates of like-minded particulars (at least as we experience them) rather than Platonic absolutes expressed in the material world.
Those moments come less often these days. You get older. You think you have stuff mostly figured out. I thought of another one, when I had the thought that scientific theories are really just very precise myths expressing the mystery of the world. Still myths, just a lot more precise in their expression.
Why am I writing this? Because I couldn't think of anything interesting to blog today, let alone profound. Sometimes when I can't sleep at night I'll google, "something profound." It's not very consoling.
So here's a stupid question. I've always tended to think of the kind of math they do in physics and other sciences as an imperfect version of pure math. So in quantum physics they use "statistical mechanics." You can't have a precise sense of things so you approximate using statistical methods and probabilities.
So I always viewed this sort of applied math as an inferior version of pure math, where everything is tidy and exact, an imperfect shadow of the Platonic ideal. But is it possible pure math is only a simplistic shadow of applied math, an abstraction from the real world?
What do you think? Hey, I had to write something to get us off the topic of health care... ;-)