There is no good definition of probability. For frequentists, it requires an infinite number of independent events, i.e., it doesn’t exist in the real world. For Bayesians, it’s subjective, i.e., arbitrary and useless for science.
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Probability theory is the unique extension of propositional logic to plausible reasoning with incomplete information.https://arxiv.org/abs/1706.05261
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I use probability distributions to represent objectively defined states of knowledge. When I have trouble assigning a unique distribution, it usually means that my state of knowledge is unclear, even to me. Jaynes discusses this issue in Chapter 12:https://smile.amazon.com/dp/B00AKE1Q40/
Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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