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I really appreciate Andrew Gelman's way of defining 'probability' that transcends the frequentist/Bayesian schism: Probability is a mathematical concept encoded in the Kolmogorov axioms. That's it. No need to argue over a canonical interpretation. It's just math!
Beyond the Platonic definition, there are various real-world _domains_ that are well-modeled by (mathematical) probability: long-run frequencies, subjective certainty, betting odds, quantum events, etc.
This suggests that questions like the following are ill-posed and not worth arguing over:https://twitter.com/3blue1brown/status/1074415844715782144 …
This doesn't mean that we can't advocate for Bayesianism. I think science should use more Bayesian methods (because it concerns our subjective beliefs about the world). It's just that there isn't One True Way, definitionally speaking.
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