I'd never say what you are doing is trivial! I'd say all those Art History majors I met at University of Toronto are doing trivial things! At least YOU'RE DOING MATH! Lol!
I see what you mean though, by how that would not construct tetration. But I can definitely see it giving an existence method... maybe even uniqueness. But it'd probably be one of those things where you don't really hold it in your hands; you just know it's out there, lol. But it'd definitely be great for arbitrary super-functions; giving you an existence method regardless.
Happy Hunting! I hope to read of your work soon! I'll at least make an effort to digest it!
I see what you mean though, by how that would not construct tetration. But I can definitely see it giving an existence method... maybe even uniqueness. But it'd probably be one of those things where you don't really hold it in your hands; you just know it's out there, lol. But it'd definitely be great for arbitrary super-functions; giving you an existence method regardless.
Happy Hunting! I hope to read of your work soon! I'll at least make an effort to digest it!