Nature operates with in the set boundaries of mathematics. No changes take place that defy mathematics, else then the big bang. How true is this?
Does it not? Math follows formal rules. Fixed logic 1 plus 1 will always equal two 2 because that is how math is structured.
i guess thats not entirely true. if your working with finite number sets then there are definately boundaries, but these are all theoretical. Anything in nature will be working with real numbers, which is an infinite set, hence no boundaries.
but what about Gödel showed that for any formal axiomatic system, there is always a statement about natural numbers which is true, but which cannot be proven in the system. In other words, mathematics will always have a little fuzziness around the edges: it will never be the rigorous unshakable system that mathematicians dreamed of for millennia. hummmmm
You can find math everywhere in nature but, it is stupid to look for it all the time. There are much more important things to search in life and nature than math. You can see the world through numbers, but it is better to see it through what life is really for.
it is false. nature operates as nature operates, and mathematics is an invented human language that seems to describe these operations reasonably precisely.