David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Journal of Philosophical Logic 41 (3):563-593 (2012)
A logic for classical conditional events was investigated by Dubois and Prade. In their approach, the truth value of a conditional event may be undetermined. In this paper we extend the treatment to many-valued events. Then we support the thesis that probability over partially undetermined events is a conditional probability, and we interpret it in terms of bets in the style of de Finetti. Finally, we show that the whole investigation can be carried out in a logical and algebraic setting, and we find a logical characterization of coherence for assessments of partially undetermined events
|Keywords||Many-valued logic Conditional probability States|
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References found in this work BETA
Janusz Czelakowski (2001). Protoalgebraic Logics. Kluwer Academic Publishers.
Petr Cintula (2006). Weakly Implicative (Fuzzy) Logics I: Basic Properties. [REVIEW] Archive for Mathematical Logic 45 (6):673-704.
Constantine Tsinakis & Annika M. Wille (2006). Minimal Varieties of Involutive Residuated Lattices. Studia Logica 83 (1-3):407 - 423.
Daniele Mundici (1995). Averaging the Truth-Value in Łukasiewicz Logic. Studia Logica 55 (1):113 - 127.
Andrzej Sendlewski (1990). Nelson Algebras Through Heyting Ones: I. Studia Logica 49 (1):105-126.
Citations of this work BETA
Lev Beklemishev & Tommaso Flaminio (2016). Franco Montagna’s Work on Provability Logic and Many-Valued Logic. Studia Logica 104 (1):1-46.
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