Imprecise probabilities, bets and functional analytic methods in Łukasiewicz logic

@inproceedings{Fedel2013ImprecisePB,
  title={Imprecise probabilities, bets and functional analytic methods in Łukasiewicz logic},
  author={M. Fedel and Klaus Keimel and Franco Montagna and Walter Roth},
  year={2013}
}
In his foundation of probability theory, Bruno de Finetti devised a betting scheme where a bookmaker offers bets on the outcome of events φ occurring in the future. He introduced a criterion for coherent bookmaking, and showed that coherent betting odds are given by some probability distribution. While de Finetti dealt with yes-no events and boolean propositional logic, Mundici generalized the theory to the continuous spectrum events formalized within Lukasiewicz logic. Both de Finetti and… CONTINUE READING

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