Logical Foundations of Probability

actual analogous applied atomic sentences basis Bernoulli's theorem cardinal number comparative concept components concept of confirmation concept of probability concerning conjunction constructed contains corresponding decision deductive defined definition degree of confirmation determine discussed disjunction earlier estimate example explication explicatum expression finite systems following holds following theorem formulation fulfilled function given hypothesis h inductive inference inductive logic inductive reasoning infinite instance irrelevant to h isomorphic kind L-concepts L-disjunct L-equivalent L-exclusive in pairs L-false L-implies L-true language systems later lexicographical order likewise mathematical induction means measure function metalanguage method molecular predicate negation negative to h numerical values observed population positive to h principle of indifference prob problem procedure Proof properties Q-numbers Q-predicates quantitative concept r-values real number regular c-functions relation relative frequency respect rule sample semantical sense state-descriptions statement Suppose system of inductive tences theory of probability tion tive words