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.
Montagna, F. (2012). Partially Undetermined Many-Valued Events and Their Conditional Probability. JOURNAL OF PHILOSOPHICAL LOGIC, 41(3), 563-593 [10.1007/s10992-011-9185-3].
Partially Undetermined Many-Valued Events and Their Conditional Probability
MONTAGNA, FRANCO
2012-01-01
Abstract
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.
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https://hdl.handle.net/11365/37288
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