Partially Undetermined Many-Valued Events and Their Conditional Probability |
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Authors: | Franco Montagna |
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Institution: | 1.Department of Mathematics and Computer Science,University of Siena,Siena,Italy |
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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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