Chance and Structure: An Essay on the Logical Foundations of Probability
Discussing the relations between logic and probability, this book compares classical 17th- and 18th-century theories of probability with contemporary theories, explores recent logical theories of probability, and offers a new account of probability as a part of logic.
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Classical Thought and its Transformations
Positivism and Subjectivism
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analytic antecedents applied assertions assignment atomic Bernoullian probabilities Boolean algebra Carnap Carnapian chapter classical coherence theorem compact comprehension concept conditional independence conditional probability consequence consistent defined definition denumerably additive denumerably infinite descending chain descending chain condition disjunction distinction domain embedded probabilities emotivism entails equivalence equivalence relation essentially finite example expressions extension feeling Finetti first-order logic formulas Frege Fregean function given Hence Hume's idea includes independent individual constants interpretation language lemma limit logical probability measure theory metalanguage metalinguistic Miller's principle multivariate natural numbers non-null non-probabilistic numbers objects partial belief partition predicate premisses prob probability conditionals probability judgements probability logic probability quantifiers proposition Px]A question random variable relations of ideas relative frequency satisfies semantics sequence set of sentences sigma algebra structure subjectivism subjectivistic subset T-consistent T-equivalent T-implies T-partition T-probability theorem theory of probability thesis of T(i tion true x-variants