Phlebas comments on (Subjective Bayesianism vs. Frequentism) VS. Formalism - Less Wrong
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Because then you'll keep arguing for decades about which one it really is, to absolutely no fruitful conclusion. Why not just keep saying that sound is air pressure and not auditory experience, or vice versa? When you do that, it makes it harder to see what is really going on. Call me conservative, but I think we should use as precise of a terminology as possible. Also, it seems to me that "probability is degree of belief" is an unverifiable claim, or I at least do not know what experiences I should test it with. But really, even in your own writing you don't feel comfortable using the copula as the relation between probability and degree of belief without italicizing it, doesn't that make you think that maybe there is a better word for the relation which you wouldn't feel like you need to italicize? How about "models"? And really we shouldn't be using probability as a noun, it's a function not an object, but we can deal with that later.
Exactly what about my article suggests that we should change our terminology to legitimize frequentism? I am saying that frequentism and subjective bayesianism both fail the moment they use the copula with probability as the subject, that is a stupid thing to do in philosophy. It's as bad as hegel. "Probability" is not a noun, it is a function, it is syncategorematic like "the", "or", "sake", etc. it is not categorematic; "probability" does not have a physical extension. And there are things that Volume has in common with degree of belief, which we might call probability like behavior. Again, if we found that degree of belief wasn't modeled by probability theory, we would say that subjective bayesianism was wrong, not that probability theory does not really describe probability. If "aubjective belief" did mean probability instead, if we found that probability theory did not model ideally rational degree of belief, we would say that komolgorov's axioms need to be fixed, they don't really define probability.