Statistical and Inductive ProbabilitiesPrentice-Hall, 1962 - 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. |
Inhoudsopgave
PART | 33 |
Absolute probabilities probability sets and weights | 47 |
Random sampling and attendant distributions | 53 |
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a)-sample actual outcomes belong Carnap Chapter closed sentence conditional probability constants of LN containing occurrences contains free occurrences CRS(Q equal estimate-made estimated false in LN function PiN hence holds in SD i-th individual constant individual variable individuals designated inductive inferences instance John Doe Kemeny light of Q-of logically equivalent logically false logically implies logically true Max(p,q meets requirements D18.1 open sentence outlives Peter Ɔ P Ɔ Ɔ Q P₁ P₂ pair of closed Pi(P Pi(Q Pi¹(P PiN Q population possible outcomes prob probability allotted probability in LN probability set Proof Ps(P Ps(Q Ps²(P Q in LN Q is logically reckoned relative frequency allotment 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 variable of LN W₁ weight in LN