Statistical and Inductive ProbabilitiesDover Publications, 2006 - 148 pagina's This even-handed treatment addresses the decades-old dispute among probability theorists, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter qualify as estimates of the former. Discusses sentence theory, set theory, statistical probabilities, inductive probabilities, more. Illustrations and footnotes elucidate definitions, theorems, and technicalities. 1962 edition. |
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a)-sample Carnap Chapter closed sentence coin landing conditional probability constants of LN containing occurrences contains free occurrences equal equivalent in LN estimate-made estimated false in LN function PiN holds in SD i-th individual constant individual variable inductive inferences instance John Doe Kemeny landing heads let X1 logically equivalent logically false logically implies logically true mathematical Max(p,q open sentence Ɔ P Ɔ Ɔ Q P₁ P₂ pair of closed Pi(P Pi(Q Pi¹(P Pi¹(Q PiN Q population predicate prob probability allotted probability in LN probability set probability theory Proof Ps(P Ps(Q Ps²(P Q in LN Q is logically random real numbers reckoned s₁ sample Section sentence of LN sentence Q state-descriptions of LN station wagon statistical probability sublanguage LN subsets suburbanite theorem true in L true in LN truth-value universe of discourse unspecified variables of LN weight in LN wN W₁