It’s deeper than that. Bayesian probability theory is a mathematical law. Anything method that works must be computing an approximation of it. Just like Newtonian mechanics is a very close approximation of relativity. But they are not equivalent.
Bayesian probability theory is a mathematical law.
That is not true. The Bayes equation is mathematically correct. A theory is much wider—for example, Bayesians interpret probability as a degree of belief—is that also a mathematical law? You need a prior to start—what does the “mathematical law” say about priors?
It’s deeper than that. Bayesian probability theory is a mathematical law. Anything method that works must be computing an approximation of it. Just like Newtonian mechanics is a very close approximation of relativity. But they are not equivalent.
That is not true. The Bayes equation is mathematically correct. A theory is much wider—for example, Bayesians interpret probability as a degree of belief—is that also a mathematical law? You need a prior to start—what does the “mathematical law” say about priors?