[BeetleB]

> I can search documentation or start to guess at intentions even if it's something I'm not familiar with. I'll probably need to read the documentation associated with some classes or methods to fully understand, but my tools make that readily available.

I don't see it all that difference in mathematics. A given piece of math will make assumptions on the notations and expects the audience to share those - the example of integrals is a good one. Usually within a particular subdiscipline (or from the context) you'll know if this is a Lebesgue or a Riemann integral - so they don't bother having separate symbols for them. If you're new to the discipline, you may not know the convention, so you have to ask or search.

The thing with software and programming is that it is usually "complete", and that's why you can use your tools to access the docs/definition. It is complete because the universe of options for a given program is relatively small. In mathematics, though, it isn't that small, so the challenge of making all the definitions, conventions available to you for a given piece of math you're reading is much greater. Textbooks typically are good about this, but the more advanced you go, the more you are expected to know as "these are the conventions in this subdiscipline".

A lot of this is probably historical, and no one today wants to bother with making a consistent set of tooling that will get you what you want.