The Method of Socratic Proofs: From the Logic of Questions to Proof Theory

Author:   Dorota Leszczyńska-Jasion
Publisher:   Springer International Publishing AG
Volume:   64
ISBN:  

9783031824500


Pages:   348
Publication Date:   14 June 2025
Format:   Hardback
Availability:   Not yet available   Availability explained
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The Method of Socratic Proofs: From the Logic of Questions to Proof Theory


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Overview

This book contains a systematic and formal attempt to model solutions to problems such as: Is it possible to prove a question? Is it possible to prove something by the use of questions? Do the existing paradigms in the logic of questions allow one to combine questions and proofs? What are the results in this field? In developing answers, the book focuses on the applications of the method of Socratic proofs, and goes beyond that.  It starts out with an overview of the leading paradigms, issues, problems and ready solutions in the logic of questions, and places Inferential Erotetic Logic and the method of Socratic proofs against a wider background. It then introduces these two methods in more detail and explains how they can be used for classical logic, intuitionistic propositional logic and for basic modal logics. Next, the book deals with issues specific to the field of the logic of questions, introducing the tools of Minimal Erotetic Semantics (MiES). The final chapters describe the translations between proof systems: from a Socratic transformation, derived in an erotetic calculus, into a sequent system.

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Author:   Dorota Leszczyńska-Jasion
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Volume:   64
ISBN:  

9783031824500


ISBN 10:   3031824504
Pages:   348
Publication Date:   14 June 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

Chapter 1: Between the logic of questions and proof theory. An overview.- Chapter 2: Erotetic calculi for classical logic.- Chapter 3: Erotetic calculi for intuitionistic and modal logics.- Chapter 4: Erotetic calculi are calculi of questions.- Chapter 5: From erotetic calculi to proofs. The classical case.- Chapter 6: From erotetic calculi to proofs.

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