Probability logic and F-coherence

Philosophy of Science 43 (2):254-265 (1976)
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Abstract

In order that a degree-of-belief function be coherent it is necessary and sufficient that it satisfy the axioms of probability theory. This theorem relies heavily for its proof on the two-valued sentential calculus, which emerges as a limiting case of a continuous scale of truth-values. In this “continuum of certainty” a theorem analogous to that instanced above is proved.

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Fair bets and inductive probabilities.John G. Kemeny - 1955 - Journal of Symbolic Logic 20 (3):263-273.
On confirmation and rational betting.R. Sherman Lehman - 1955 - Journal of Symbolic Logic 20 (3):251-262.
Higher order probabilities and coherence.Soshichi Uchii - 1973 - Philosophy of Science 40 (3):373-381.

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