Probability is defined as E(A)/E(A or not A), where E is a hypernatural count of atomic possibilities, making uniformity over any infinite space consistent with the sum rule.
Beyond Bayes: On the need for a unified and Jaynesian definition of probability and information within neuroscience.Information, 3(2):175–203, 2012
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Axioms for the Measure of Evidence
Probability is defined as E(A)/E(A or not A), where E is a hypernatural count of atomic possibilities, making uniformity over any infinite space consistent with the sum rule.