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by lmm 3839 days ago
> The Bayesian approach is to assign a prior distribution to various theories of this nature. Because there are infinitely many possible priors, most exceedingly complicated (because the set of priors of complexity < C is finite or at least compact), we'll need to (eventually) assign low probabilities to high complexity ones. This gives a natural derivation of occams razor as well, at least as an asymptotic law.

Is the asymptotic relevant though? Physical theories are finite and generically quite small, and we have no a priori way to fix C.