You can look at people like Max Tegmark, and Eugene Wigner. Perhaps you can get more information sympathetic to your point of view starting a search from those names. But I totally disagree with them.

From an intuitionistic point of view, mathematics is just psychology. Logic (and the rest of math) is what we use to describe things. Therefore, it should not be surprising that it applies to everything we can describe. We have evolved to survive in the world as it is, so our expectations and our explanatory powers have evolved to describe the world as it is reliably up to some point. We just define logic to be the stuff that lies below that point. The impulses that too often betray us get classified as physical and not mathematical facts. But there is not really an essential difference.

Axioms are a useful way for humans to communicate about their expectations. But, in fact, no part of our knowledge, including mathematics, is actually well-founded and made up of basic principles. This notion appeals to us, but it fails. The Munchhausen Trilemma really does apply, even to math. Axioms are based on something, or they produce beautiful and useless information. So they are not basic principles.

You can look at people like Max Tegmark, and Eugene Wigner. Perhaps you can get more information sympathetic to your point of view starting a search from those names. But I totally disagree with them.

From an intuitionistic point of view, mathematics is just psychology. Logic (and the rest of math) is what we use to describe things. Therefore, it should not be surprising that it applies to everything we can describe. We have evolved to survive in the world as it is, so our expectations and our explanatory powers have evolved to describe the world as it is reliably up to some point. We just define logic to be the stuff that lies below that point. The impulses that more often betray us get classified as physical and not mathematical facts. But there is not really an essential difference. (Intuitionism therefore counsels us to be quite careful about throwing around concepts like universality, absolute negation and infinity, and to distrust math that is too arrogant.)

Axioms are a useful way for humans to communicate about their expectations. But, in fact, no part of our knowledge, including mathematics, is actually well-founded and made up of basic principles. This notion appeals to us, but it fails. The Munchhausen Trilemma really does apply, even to math. Axioms are based on something, or they produce beautiful and useless information. So they are not basic principles. They are chosen to express useful ideas.