Arguably god is not an "aspect of nature", but in this case, how do you define an aspect of nature? Something susceptible of an exact mathematical treatment? That's circular reasoning.

If you are an atheist, god may not be in your nature, but it is impossible not to believe in some unfalsifiable idea. I mean, I assume that I am not a Boltzmann brain and that you exist and that you are a human just like me, not just a NPC in a simulation. This is not mathematically quantifiable, but it is essential to make sense of the world.

And there is Gödel's incompleteness theorem.