Titlebook: Language, Quantum, Music; Maria Luisa Dalla Chiara,Roberto Giuntini,Federico Book 1999 Springer Science+Business Media B.V. 1999 Immanuel

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Nonstandard Analysis and a Classification of Probability Spacesmatical playground. The return, after Bishop Berkely’s fierce attack in the early years of the past century, hasn’t been easy. The following paragraph of the well known Probabilist, Joseph L. Doob ([D]) is very explicit and touches upon several issues related to this paper.

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Some Remarks on Objective Chance (F. P. Ramsey, K. R. Popper and N. R. Campbell)ties to a view of chance rooted in a subjectivistic framework. Though the propensity interpretation perhaps prevails over the subjective or personally oriented conception, both of them gather some consensus among philosophers, probabilists and scientists. Intermediate and alternative positions have

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The Quantum Probabilistic Approach to the Foundations of Quantum Theory: Urns and Chamaleonsobabilistic notions, considered for centuries to be intrinsic to the very notion of probability, are in fact model dependent statements, like Euclid’s parallel postulate. This is the basic tenet of quantum probability.

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