Description

Book Synopsis

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.



Table of Contents
1. Introduction.- 2. On the role of questions in logic.- 3. Questions in propositional logic.- 4. Reasoning with questions.- 5. Questions in first-order logic.- 6. Questions in modal logic.- 7. Connections with intuitionistic logic.- 8. Connections with dependence logic.- 9. Conclusion.

Inquisitive Logic: Consequence and Inference in

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      Book details

      Publisher Springer International Publishing AG
      Published 2 March 2023
      ISBN-13 9783031097058
      978-3031097058
      ISBN-10 303109705X

      Description

      Book Synopsis

      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.



      Table of Contents
      1. Introduction.- 2. On the role of questions in logic.- 3. Questions in propositional logic.- 4. Reasoning with questions.- 5. Questions in first-order logic.- 6. Questions in modal logic.- 7. Connections with intuitionistic logic.- 8. Connections with dependence logic.- 9. Conclusion.

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