Inquisitive logic : consequence and inference in the realm of questions

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 fa...

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Bibliographic Details
Main Author: Ciardelli, Ivano
Format: eBook Book
Language:English
Published: Cham Springer 2022
Springer Nature
Springer International Publishing
Springer International Publishing AG
European Research Council
Edition:1
Series:Trends in Logic
Subjects:
connection inquisitive
Connections with dependence logic
Connections with intuitionistic logic
Dependence Logic
how classical logic can be made inquisitive
Information Semantics
Information Types
Inquisitive Logic
intuitionistic
Intuitionistic Logic
Logic
Logic of Dependency
Logic of Questions
Mathematical foundations
Mathematical logic
Mathematics
Mathematics and Science
Nonfiction
PHILOSOPHY
Philosophy and Religion
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
Sociology
Topics in philosophy
ISBN:303109705X, 9783031097058, 9783031097065, 3031097068
Online Access:Get full text
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Description
Summary: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.
Bibliography:Includes bibliographical references and index
Electronic reproduction. Dordrecht: Springer, 2023. Requires the Libby app or a modern web browser.
ISBN:303109705X
9783031097058
9783031097065
3031097068
DOI:10.1007/978-3-031-09706-5