Comment by godelski

  > Because "reality" doesn't have "atomic", certain, etc operations?

That's not a requirement. The axioms are for our modeling, not reality.

  > but you can't be certain that you're dealing with a given distribution, not outside the quantum realm.

I guess I'll never understand why non-physicists want to talk so confidently about physics. Especially quantum mechanics[0]. You can get through Griffiths with mostly algebra and some calculus. Group theory is a big plus, but not necessary. I also suggest having a stiff drink on hand. Sometimes you'll need to just shut up and do the math. Don't worry, it'll only be more confusing years later if you get to Messiah.

[0] https://xkcd.com/451/