David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
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|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
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.
Similar books and articles
Peter Milne (1997). Bruno de Finetti and the Logic of Conditional Events. British Journal for the Philosophy of Science 48 (2):195-232.
Angelo Gilio & Giuseppe Sanfilippo (2013). Conjunction, Disjunction and Iterated Conditioning of Conditional Events. In R. Kruse (ed.), Advances in Intelligent Systems and Computing. Springer
Charles G. Morgan (1999). Conditionals, Comparative Probability, and Triviality: The Conditional of Conditional Probability Cannot Be Represented in the Object Language. Topoi 18 (2):97-116.
Peter Milne (2008). Bets and Boundaries: Assigning Probabilities to Imprecisely Specified Events. Studia Logica 90 (3):425 - 453.
Peter Milne (2004). Algebras of Intervals and a Logic of Conditional Assertions. Journal of Philosophical Logic 33 (5):497-548.
Angelo Gilio (2005). Probabilistic Logic Under Coherence, Conditional Interpretations, and Default Reasoning. Synthese 146 (1-2):139 - 152.
Eyvind Ohm & Valerie A. Thompson (2006). Conditional Probability and Pragmatic Conditionals: Dissociating Truth and Effectiveness. Thinking and Reasoning 12 (3):257 – 280.
Jean Baratgin, David E. Over & Guy Politzer (2011). Betting on Conditionals. Thinking and Reasoning 16 (3):172-197.
Maurizio Negri (2010). A Probability Measure for Partial Events. Studia Logica 94 (2):271 - 290.
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
Horacio Arló-Costa & Richmond Thomason (2004). Iterative Probability Kinematics. Journal of Philosophical Logic 30 (5):479-524.
A. J. B. Fugard, Niki Pfeifer & B. Mayerhofer (2011). Probabilistic Theories of Reasoning Need Pragmatics Too: Modulating Relevance in Uncertain Conditionals. Journal of Pragmatics 43:2034–2042.
James Hawthorne (1996). On the Logic of Nonmonotonic Conditionals and Conditional Probabilities. Journal of Philosophical Logic 25 (2):185-218.
Added to index2012-04-27
Total downloads12 ( #300,934 of 1,911,742 )
Recent downloads (6 months)1 ( #458,113 of 1,911,742 )
How can I increase my downloads?