Newtonian gravity is a limiting case of GR (specifically in the low velocity and weak gravity case), which means GR is a strict superset of Newtonian gravity. But it’s not accurate to think of frequentism as a limiting case of Bayesian theory. They have two completely different philosophies, and both require assumptions that are sometimes incompatible with each other. The obvious example is the frequentist critique that the choice of prior is arbitrary (ie there being no true uninformative prior).

I also don’t think you can assert that the world is inherently Bayesian, given that statistical frameworks exist to interpret the world which has inherent uncertainties. It doesn’t make sense to say that there is one true statistical framework under which probabilistic events occur.

I don’t see the difference. The theory of relativity and Newton’s theory also have different philosophies: Newton’s theory states that gravity is a force, that the universe is constant and eternal, etc.

Newton’s theory is not exactly a special case of the theory of relativity, because it is less accurate.

Newtonian gravity is a limiting case of GR (specifically in the low velocity and weak gravity case), which means GR is a strict superset of Newtonian gravity. But it’s not accurate to think of frequentism as a limiting case of Bayesian theory. They have two completely different philosophies, and both require assumptions that are sometimes incompatible with each other. The obvious example is the frequentist critique that the choice of prior is arbitrary (ie there being no true uninformative prior).

I also don’t think you can assert that the world is inherently Bayesian, given that statistical frameworks exist to interpret the world which has inherent uncertainties. It doesn’t make sense to say that there is one true statistical framework under which probabilistic events occur.

I don’t see the difference. The theory of relativity and Newton’s theory also have different philosophies: Newton’s theory states that gravity is a force, that the universe is constant and eternal, etc.

Newton’s theory is not exactly a special case of the theory of relativity, because it is less accurate.