I thought "most of the time" was implied in these sorts of things by now. And you will note the mathematicians don't "say it is 1"... they say they are choosing

I thought "most of the time" was implied in these sorts of things by now. And you will note the mathematicians don't "say it is 1"... they say they are choosing to follow the convention of defining it as 1, with reasons listed below. I could come up with whatever crazy definitions in math I wanted to, and sometimes even get useful results. However, this view is not... convenient for teaching, so they pretend that you are learning "math", as opposed to "a particular math".