Overview
- 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.
Part of the book series: Trends in Logic (TREN, volume 60)
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Table of contents (8 chapters)
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 logic
- Open Access
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Inquisitive Logic
Book Subtitle: Consequence and Inference in the Realm of Questions
Authors: Ivano Ciardelli
Series Title: Trends in Logic
DOI: https://doi.org/10.1007/978-3-031-09706-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2022
Hardcover ISBN: 978-3-031-09705-8Published: 02 March 2023
Softcover ISBN: 978-3-031-09708-9Published: 02 March 2023
eBook ISBN: 978-3-031-09706-5Published: 01 March 2023
Series ISSN: 1572-6126
Series E-ISSN: 2212-7313
Edition Number: 1
Number of Pages: XX, 272
Number of Illustrations: 50 b/w illustrations, 3 illustrations in colour
Topics: Logic, Mathematical Logic and Foundations