Inquisitive Logic Consequence and Inference in the Realm of Questions
Ciardelli, Ivano
Inquisitive Logic Consequence and Inference in the Realm of Questions - Cham Springer Nature 2022 - 1 electronic resource (272 p.) - Trends in Logic 60 .
Open Access
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.
Creative Commons
English
978-3-031-09706-5 9783031097065
10.1007/978-3-031-09706-5 doi
Mathematical foundations
Philosophy: logic
connection inquisitive, intuitionistic, dependence logic Connections with dependence logic Connections with intuitionistic logic Dependence Logic how classical logic can be made inquisitive Information Semantics Information Types Inquisitive Logic Intuitionistic Logic Logic of Dependency Logic of Questions Proofs-as-Programs Questions in first-order logic Questions in modal logic Questions in propositional logic reasoning with questions role of questions in logic
Inquisitive Logic Consequence and Inference in the Realm of Questions - Cham Springer Nature 2022 - 1 electronic resource (272 p.) - Trends in Logic 60 .
Open Access
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.
Creative Commons
English
978-3-031-09706-5 9783031097065
10.1007/978-3-031-09706-5 doi
Mathematical foundations
Philosophy: logic
connection inquisitive, intuitionistic, dependence logic Connections with dependence logic Connections with intuitionistic logic Dependence Logic how classical logic can be made inquisitive Information Semantics Information Types Inquisitive Logic Intuitionistic Logic Logic of Dependency Logic of Questions Proofs-as-Programs Questions in first-order logic Questions in modal logic Questions in propositional logic reasoning with questions role of questions in logic