Inquisitive Logic
Consequence and Inference in the Realm of Questions
Author(s)
Ciardelli, Ivano
Collection
European Research Council (ERC)Language
EnglishAbstract
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.
Keywords
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 logicDOI
10.1007/978-3-031-09706-5ISBN
9783031097065, 9783031097065Publisher
Springer NaturePublisher website
https://www.springernature.com/gp/products/booksPublication date and place
Cham, 2022Imprint
Springer International PublishingSeries
Trends in Logic, 60Classification
Philosophy: logic
Mathematical foundations