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De Finetti’s No-Dutch-Book Criterion for Gödel logic

Stefano Aguzzoli, Brunella Gerla & Vincenzo Marra

Studia Logica 90 (1):25 - 41 (2008) Copy BIBT_EX

Abstract

We extend de Finetti’s No-Dutch-Book Criterion to Gödel infinite-valued propositional logic.

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Categories

Betting Interpretations and Dutch Books in Philosophy of Probability

Logics in Logic and Philosophy of Logic

Nonclassical Logics in Logic and Philosophy of Logic

Keywords

Philosophy Computational Linguistics Mathematical Logic and Foundations Logic

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DOI

10.1007/s11225-008-9142-5

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Citations of this work

Partially Undetermined Many-Valued Events and Their Conditional Probability.Franco Montagna - 2012 - Journal of Philosophical Logic 41 (3):563-593.

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References found in this work

Metamathematics of Fuzzy Logic.Petr Hájek - 1998 - Dordrecht, Boston and London: Kluwer Academic Publishers.

Logic with truth values in a linearly ordered Heyting algebra.Alfred Horn - 1969 - Journal of Symbolic Logic 34 (3):395-408.

Free l-algebras.Alfred Horn - 1969 - Journal of Symbolic Logic 34 (3):475-480.

Computing coproducts of finitely presented Gödel algebras.Ottavio M. D’Antona & Vincenzo Marra - 2006 - Annals of Pure and Applied Logic 142 (1):202-211.

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