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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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Keywords
- connection inquisitive, intuitionistic, dependence logic
- Connections with dependence logic
- Connections with intuitionistic logic
- Dependence Logic
- how classical logic can be made inquisitive
- Humanities
- Information Semantics
- Information Types
- Inquisitive Logic
- Intuitionistic Logic
- Logic of Dependency
- Logic of Questions
- Mathematical foundations
- Mathematics
- Mathematics & science
- Philosophy
- Philosophy: logic
- Proofs-as-Programs
- Questions in first-order logic
- Questions in modal logic
- Questions in propositional logic
- reasoning with questions
- role of questions in logic
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations
- thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic
Links
DOI: 10.1007/978-3-031-09706-5Editions