I didn't mean the word context in any technical sense. I'll try a simpler illustration:
No, you're fine with what you're saying. I as just adding my thoughts, but noting that I have no real knowledge of specialised or obscure branches of mathematics.
(Apology 2, is that keeping up with the chat is difficult, as apparently I am only allowed 3 posts over a 72 hour period...)
It seems the introduction of a convention doesn't really work, if not all participants adhere to it.
But you think differently. You're not wrong, just a different choice. There's the ambiguity.
So when Stephen Hawking comes up with 288, instead of 2 - I assume he won't spontaneously implode into a black hole, because all of his quantum physicist mates follow the same rules as he.
There must consistency within certain fields, eg. engineering, otherwise our bridges would fall down. This actually interests me - how aligned are the various fields, which ones differ, and why.
I'm not sure we had a '/' when I was learning the foundations - I don't remember it, an any case. I think it was the late '70s when we began to use it. Up until then I think, we still had the flat '_'.
There were also these things called 'pencils' !