Inquisitive Logic
Consequence and Inference in the Realm of Questions
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Beschreibung
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.
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.
First book-length exposition of inquisitive logic Entry point into an active research program Ideal as a textbook for a graduate-level introduction This book is an open access, which means that you have free and unlimited access.
Autor*in
Ivano Ciardelli
Themen in »Inquisitive Logic«
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
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“The book closes with a very useful three-page appendix of references to the extant bibliography on inquisitive logic. … the book is exceptionally well written. Concepts and constructions are adequately motivated by intuitive explanations and examples. Proofs are clear and sufficiently detailed, albeit concise, and displayed with welcome attention to readability. … The book is truly a pleasant read … .” (Pedro Carrasqueira, Mathematical Reviews, August, 2025)
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