Logical Foundations of Probability |
Contents
Our Problems | 1 |
Classificatory Comparative and Quantitative Concepts | 8 |
Formalization and Interpretation | 15 |
Copyright | |
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actual analogous applied atomic sentences axioms basis Bayes's theorem Bernoulli's theorem betting quotient comparative concept concept of confirmation concept of probability concerning conjunction constructed corresponding decision deductive defined definition degree of confirmation determine discussed disjunction earlier estimate example explicatum finite systems following holds following theorem formulation fulfilled function given h on e h₂ hypothesis h individuals inductive inference infinite instance irrel irrelevant to h kind L-concepts L-equivalent L-exclusive in pairs L-false L-implies L-true later lexicographical order likewise m₁ m₂ mathematical induction means measure function metalanguage method negation negative to h non-L-false numerical values observation population positive to h prediction principle of indifference prob problem procedure Proof Q-numbers Q-predicates quantitative concept r-values r₁ r₂ regular c-functions relation relative frequency respect rule s₁ sample semantical sense situation state-descriptions statement statistical symmetrical c-functions tences theory of probability tion tive words