I'll use whatever I choose to use when I'm making my point. You don't get to define my choice of differentiation.
> Also, nature is not the same word as natural...
That's just absurdly pedantic and a ridiculous point; I defined what I meant, take it or leave it but don't be obtuse.
> How is that any different from "Advanced mathmatics"? No known humans have had a written language but no numbering system, and speculation about the earliest humans without a written language is just that, speculation.
I think I was more than clear, naturally emerge in individual human development; i.e. all humans naturally develop it as part of their normal life-cycle. Language for example, this is vastly different than advanced mathematics which may not ever emerge until certain levels of culture are accomplished. Mathematics are not a natural part of the development of the individual human lifecycle.
> So that you can quantify, classify, compare, understand, intelligently discuss, etc.
Which can all be accomplished without said differentiation, so no, try again.
> Eh, it conveyed the exact same meaning - it just more clearly demonstrated the logical flaw.
No, it didn't.
Useless for your purposes, where you are comparing things of the same kind - you use behavior for that, not nature. Nature is used for comparing things of a different kind, like humans vs sea slugs. Also, nature is not the same word as natural...
> ...always naturally emerge in individual human development like language...
How is that any different from "Advanced mathmatics"? No known humans have had a written language but no numbering system, and speculation about the earliest humans without a written language is just that, speculation.
> Why do I need to differentiate them...
So that you can quantify, classify, compare, understand, intelligently discuss, etc.
> I think you're rephrasing is a strawman...
Eh, it conveyed the exact same meaning - it just more clearly demonstrated the logical flaw.
> ...and now we're beating a dead horse.
Maybe, but I will say that your last post communicated your thoughts on the matter very clearly - I never would have known otherwise that we disagree on about five other fundamental concepts.