On the existence of the true value of a probability. Part 2: The representation theorem and the ergodic theory

作者: Alberto H. Landro

DOI:

关键词: Discrete mathematicsInterpretation (model theory)CounterexampleValue (mathematics)Stationary ergodic processMathematical economicsErgodic theoryMathematicsCharacter (mathematics)Representation theoremProperty (philosophy)

摘要: Some authors, basing their ideas on the exchangeability property, postulates of representation theorem and its interpretation in ambit ergodic theory, believed to find a counterexample subjectivist model through theoretical justification existence an objective probability. As proof inconsistency this reasoning, allows assert that convergence relative frequency “true value” probability is only metaphysical illusion motivated by asymptotic behaviour personal assessments initial probabilities, leading intersubjective assignment. With regard assimilation propensity demonstration character resulting subjectivity assignment f probabilities.

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