> A lot of mathematicians would consider this a very limited view of the subject. Maybe? A lot of mathematicians actually do describe it just like that. In fa

> A lot of mathematicians would consider this a very limited view of the subject. Maybe? A lot of mathematicians actually do describe it just like that. In fact that's one of the most common ways the difference between mechanical arithmetic and research mathematics is described on forums like r/math. And a lot of posts on Math Overflow have precisely the flavor of defining things and then playing around with what consequences emerge.