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    Bayes' theorem follows directly from the axioms that any ... — Carmelics
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    Supports→Any inductive logic that employs the same probability functions to represent both the probabilities of evidence claims due to hypotheses and the probabilities of hypotheses due to evidence claims must be a Bayesian inductive logic.

    Bayes' theorem follows directly from the axioms that any probability function must satisfy.

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    An inductive logic using the same probability functions for both directions of i...Any inductive logic that employs the same probability functions to represent bot...Bayes' theorem expresses a necessary connection between the probabilities of evi...

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    Elements of a logicist conception of inductive logic live on today as part of the general approach called Bayesian inductive logic. However, among philosophers and statisticians the term ‘Bayesian’ is now most closely associated with the subjectivist or personalist account of belief and decision. And the term ‘Bayesian inductive logic’ has come to carry the connotation of a logic that involves purely subjective probabilities. This usage is misleading since, for inductive logics, the Bayesian/non

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