A proposal concerning the formulation of the infinitistic axiom in the theory of logical probability

R. Suszko

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Contributions to foundations of probability calculus on the basis of the modal logical calculus $M C^{ν}$ or $M C_{*}^{ν}$

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An elementary axiomatic foundation for decision theory is presented at a general enough level to cover standard applications of Bayesian methods. The intuitive meaning of both axioms and results is stressed. It is argued that statistical inference is a particular decision problem to which the axiomatic argument fully applies.