A Quantitative-Informational Approach to Logical Consequence

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.contributorUniversidade Estadual de Campinas (UNICAMP)-
Autor(es): dc.creatorAlves, Marcos Antonio [UNESP]-
Autor(es): dc.creatorLoffredo D’Ottaviano, Itala M.-
Data de aceite: dc.date.accessioned2022-02-22T00:43:32Z-
Data de disponibilização: dc.date.available2022-02-22T00:43:32Z-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2015-01-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/978-3-319-15368-1_3-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/205139-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/205139-
Descrição: dc.descriptionIn this chapter, we propose a definition of logical consequence based on the relation between the quantity of information present in a particular set of formulae and a particular formula. As a starting point, we use Shannon’s quantitative notion of information, founded on the concepts of logarithmic function and probability value. We first consider some of the basic elements of an axiomatic probability theory, and then construct a probabilistic semantics for languages of classical propositional logic. We define the quantity of information for the formulae of these languages and introduce the concept of informational logical consequence, identifying some important results; among them certain arguments that have traditionally been considered valid, such as modus ponens, are not valid from the informational perspective; the logic underlying informational logical consequence is not classical, and is at the least paraconsistent sensu lato; informational logical consequence is not a Tarskian logical consequence.-
Descrição: dc.descriptionUNESP Philosophy Department State University of São Paulo-
Descrição: dc.descriptionUnicamp Philosophy Department Centre for Logic Epistemology and the History of Science – CLE University of Campinas-
Descrição: dc.descriptionUNESP Philosophy Department State University of São Paulo-
Formato: dc.format105-124-
Idioma: dc.languageen-
Relação: dc.relationStudies in Universal Logic-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectInformation-
Palavras-chave: dc.subjectInformational logical consequence-
Palavras-chave: dc.subjectLogical consequence-
Palavras-chave: dc.subjectNonclassical logics-
Palavras-chave: dc.subjectParaconsistent logic-
Palavras-chave: dc.subjectProbability-
Palavras-chave: dc.subjectSemantics-
Título: dc.titleA Quantitative-Informational Approach to Logical Consequence-
Aparece nas coleções:Repositório Institucional - Unesp

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