Probabilities with Gaps and Gluts

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F21%3A00543241" target="_blank" >RIV/67985807:_____/21:00543241 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10992-021-09592-x" target="_blank" >http://dx.doi.org/10.1007/s10992-021-09592-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10992-021-09592-x" target="_blank" >10.1007/s10992-021-09592-x</a>

Result language
angličtina
Original language name
Probabilities with Gaps and Gluts
Original language description
Belnap-Dunn logic (BD), sometimes also known as First Degree Entailment, is a four-valued propositional logic that complements the classical truth values of True and False with two non-classical truth values Neither and Both. The latter two are to account for the possibility of the available information being incomplete or providing contradictory evidence. In this paper, we present a probabilistic extension of BD that permits agents to have probabilistic beliefs about the truth and falsity of a proposition. We provide a sound and complete axiomatization for the framework defined and also identify policies for conditionalization and aggregation. Concretely, we introduce four-valued equivalents of Bayes' and Jeffrey updating and also suggest mechanisms for aggregating information from different sources.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
60301 - Philosophy, History and Philosophy of science and technology

Project
<a href="/en/project/GA18-00113S" target="_blank" >GA18-00113S: Reasoning with graded properties</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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