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Title
A protocol-theoretic framework for the logic of epistemic norms / Ralph Jenkins.
ISBN
9783031085970 (electronic bk.)
3031085973 (electronic bk.)
9783031085963
3031085965
Published
Cham, Switzerland : Springer, 2022.
Language
English
Description
1 online resource : illustrations (black and white).
Other Standard Identifiers
10.1007/978-3-031-08597-0 doi
Call Number
BC108
Dewey Decimal Classification
160
Summary
This book defines a logical system called the Protocol-theoretic Logic of Epistemic Norms (PLEN), it develops PLEN into a formal framework for representing and reasoning about epistemic norms, and it shows that PLEN is theoretically interesting and useful with regard to the aims of such a framework. In order to motivate the project, the author defends an account of epistemic norms called epistemic proceduralism. The core of this view is the idea that, in virtue of their indispensable, regulative role in cognitive life, epistemic norms are closely intertwined with procedural rules that restrict epistemic actions, procedures, and processes. The resulting organizing principle of the book is that epistemic norms are protocols for epistemic planning and control. The core of the book is developing PLEN, which is essentially a novel variant of propositional dynamic logic (PDL) distinguished by more or less elaborate revisions of PDLs syntax and semantics. The syntax encodes the procedural content of epistemic norms by means of the well-known protocol or program constructions of dynamic and epistemic logics. It then provides a novel language of operators on protocols, including a range of unique protocol equivalence relations, syntactic operations on protocols, and various procedural relations among protocols in addition to the standard dynamic (modal) operators of PDL. The semantics of the system then interprets protocol expressions and expressions embedding protocols over a class of directed multigraph-like structures rather than the standard labeled transition systems or modal frames. The intent of the system is to better represent epistemic dynamics, build a logic of protocols atop it, and then show that the resulting logic of protocols is useful as a logical framework for epistemic norms. The resulting theory of epistemic norms centers on notions of norm equivalence derived from theories of process equivalence familiar from the study of dynamic and modal logics. The canonical account of protocol equivalence in PLEN turns out to possess a number of interesting formal features, including satisfaction of important conditions on hyperintensional equivalence, a matter of recently recognized importance in the logic of norms, generally. To show that the system is interesting and useful as a framework for representing and reasoning about epistemic norms, the author applies the logical system to the analysis of epistemic deontic operators, and, partly on the basis of this, establishes representation theorems linking protocols to the action-guiding content of epistemic norms. The protocol-theoretic logic of epistemic norms is then shown to almost immediately validate the main principles of epistemic proceduralism.
Bibliography, etc. Note
Includes bibliographical references.
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Source of Description
Description based on print version record.
Series
Synthese library ; v. 467.
Part I. Epistemic Proceduralism. Chapter 1. Epistemic Proceduralism Stated
Chapter 2. Epistemic Proceduralism Defended I
Chapter 3. Epistemic Proceduralism Defended II
Part II. Developing PLEN. Chapter 4. PLEN: A Protocol-theoretic Logic of Epistemic Norms
Chapter 5. The Revised PLEN Framework I: Protocol Equivalence (Useful Lemmata)
Chapter 6. The Revised PLEN Framework II: Protocol Equivalence (Core Results)
Chapter 7. The Revised PLEN Framework III: An Adaptable Protocol Logic
Part III. Applying PLEN. Chapter 8. Philosophical Results I: A Protocol-theoretic Logic of Epistemic Deontics, Procedural Knowledge, and Norm Application
Chapter 9. Philosophical Results II: Representation Theorems and Rule-Following
Chapter 10. Philosophical Results III: Formalizing Epistemic Proceduralism.
