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A Protocol-theoretic Framework for the Logic of Epistemic Norms
This book defines a logical system called the Prool-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 prools 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 PDL’s syntax and semantics. The syntax encodes the procedural content of epistemic norms by means of the well-known prool or program constructions of dynamic and epistemic logics. It then provides a novel language of operators on prools, including a range of unique prool equivalence relations, syntactic operations on prools, and various procedural relations among prools in addition to the standard dynamic (modal) operators of PDL. The semantics of the system then interprets prool expressions and expressions embedding prools 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 prools atop it, and then show that the resulting logic of prools 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 prool 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 prools to the action-guiding content of epistemic norms. The prool-theoretic logic of epistemic norms is then shown to almost immediately validate the main principles of epistemic proceduralism.

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A Protocol-theoretic Framework for the Logic of Epistemic Norms
This book defines a logical system called the Prool-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 prools 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 PDL’s syntax and semantics. The syntax encodes the procedural content of epistemic norms by means of the well-known prool or program constructions of dynamic and epistemic logics. It then provides a novel language of operators on prools, including a range of unique prool equivalence relations, syntactic operations on prools, and various procedural relations among prools in addition to the standard dynamic (modal) operators of PDL. The semantics of the system then interprets prool expressions and expressions embedding prools 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 prools atop it, and then show that the resulting logic of prools 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 prool 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 prools to the action-guiding content of epistemic norms. The prool-theoretic logic of epistemic norms is then shown to almost immediately validate the main principles of epistemic proceduralism.

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A Protocol-theoretic Framework for the Logic of Epistemic Norms

A Protocol-theoretic Framework for the Logic of Epistemic Norms

by Ralph Jenkins
A Protocol-theoretic Framework for the Logic of Epistemic Norms

A Protocol-theoretic Framework for the Logic of Epistemic Norms

by Ralph Jenkins

Overview

This book defines a logical system called the Prool-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 prools 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 PDL’s syntax and semantics. The syntax encodes the procedural content of epistemic norms by means of the well-known prool or program constructions of dynamic and epistemic logics. It then provides a novel language of operators on prools, including a range of unique prool equivalence relations, syntactic operations on prools, and various procedural relations among prools in addition to the standard dynamic (modal) operators of PDL. The semantics of the system then interprets prool expressions and expressions embedding prools 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 prools atop it, and then show that the resulting logic of prools 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 prool 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 prools to the action-guiding content of epistemic norms. The prool-theoretic logic of epistemic norms is then shown to almost immediately validate the main principles of epistemic proceduralism.

Product Details

ISBN-13: 9783031085994
Publisher: Springer International Publishing
Publication date: 09/27/2022
Series: Synthese Library , #467
Edition description: 1st ed. 2022
Pages: 526
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

Ralph Jenkins earned a Ph.D in Philosophy from the CUNY Graduate Center in 2018. His primary research interests are logic and epistemic methodology (e.g., belief revision). His main focus is applying dynamic logic to the analysis of epistemic norms.

Table of Contents

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 Prool-theoretic Logic of Epistemic Norms.- Chapter 5. The Revised PLEN Framework I: Prool Equivalence (Useful Lemmata).- Chapter 6. The Revised PLEN Framework II: Prool Equivalence (Core Results).- Chapter 7. The Revised PLEN Framework III: An Adaptable Prool Logic.- Part III. Applying PLEN. Chapter 8. Philosophical Results I: A Prool-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.

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Related Subjects

Philosophy
Major Branches of Philosophical Study
Epistemology (Theory of Knowledge)
Philosophy
Major Branches of Philosophical Study
Epistemology (Theory of Knowledge)

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