mathematics questions

We can use mathematics successfully to model real-world processes. Is this because we create mathematics to mirror the world or because the world is intrinsically mathematical?

i don't think math was created by people at all. i think we have created symbols and terms to make it easier to discuss and teach, but it has always been there. the example i have is how the fibonacci series appears in nature...like the nautilus shell is a perfect model for the golden rectangle. (and some flower petals, and tree branch patterns and i think there are others). so if that showed up in nature, then fibonacci or whoever it was who calculated the golden mean was really just discovering what was already there. that had already been produced by nature. i mean i guess that might tell some people that the whole universe is mathematical, or god really exists or something...i think it's really important though, and it shows some order in the design of the world. so yeah, i guess the world is intrinsically mathematical. or at least some of it has always existed. math's so different from other subjects, like english or something...if you write a book it has to be something completely new and different (i mean, generally) and make some breakthrough or present some new sort of style, it can't be something that's already been written. and i guess the mathematicians who really gain fame are the ones who make totally new breakthroughs, BUT the fibonacci series will always be the same as it was when the greeks used the golden rectangle in their architecture. math stuff like that doesn't change or become obsolete. the pythagorean theorem always works.(..which is why math is so boring) so. math wasn't created, it just has been defined more concretely by stuff like "the fibonacci sequence"or "the pythagorean theorem" or "the set of natural numbers" and stuff like that. mathematical order has always existed, i think.