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oapen-20.500.12657-618402024-03-27T14:14:39Z Inquisitive Logic Ciardelli, Ivano Logic of Questions Inquisitive Logic Information Semantics Logic of Dependency Dependence Logic Intuitionistic Logic Proofs-as-Programs Information Types role of questions in logic Questions in propositional logic reasoning with questions Questions in first-order logic Questions in modal logic Connections with intuitionistic logic Connections with dependence logic how classical logic can be made inquisitive connection inquisitive, intuitionistic, dependence logic thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations This open access book makes a case for extending logic beyond its traditional boundaries, to encompass not only statements but also also questions. The motivations for this extension are examined in detail. It is shown that important notions, including logical answerhood and dependency, emerge as facets of the fundamental notion of entailment once logic is extended to questions, and can therefore be treated with the logician’s toolkit, including model-theoretic constructions and proof systems. After motivating the enterprise, the book describes how classical propositional and predicate logic can be made inquisitive—i.e., extended conservatively with questions—and what the resulting logics look like in terms of meta-theoretic properties and proof systems. Finally, the book discusses the tight connections between inquisitive logic and dependence logic. 2023-03-17T15:19:32Z 2023-03-17T15:19:32Z 2022 book ONIX_20230317_9783031097065_5 9783031097065 https://library.oapen.org/handle/20.500.12657/61840 eng Trends in Logic application/pdf n/a 978-3-031-09706-5.pdf https://link.springer.com/978-3-031-09706-5 Springer Nature Springer International Publishing 10.1007/978-3-031-09706-5 10.1007/978-3-031-09706-5 6c6992af-b843-4f46-859c-f6e9998e40d5 178e65b9-dd53-4922-b85c-0aaa74fce079 9783031097065 European Research Council (ERC) Springer International Publishing 60 272 Cham 680220 H2020 European Research Council H2020 Excellent Science - European Research Council open access
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This open access book makes a case for extending logic beyond its traditional boundaries, to encompass not only statements but also also questions. The motivations for this extension are examined in detail. It is shown that important notions, including logical answerhood and dependency, emerge as facets of the fundamental notion of entailment once logic is extended to questions, and can therefore be treated with the logician’s toolkit, including model-theoretic constructions and proof systems. After motivating the enterprise, the book describes how classical propositional and predicate logic can be made inquisitive—i.e., extended conservatively with questions—and what the resulting logics look like in terms of meta-theoretic properties and proof systems. Finally, the book discusses the tight connections between inquisitive logic and dependence logic.
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