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Toward predicate approaches to modality
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Toward predicate approaches to modality
Record Type:
Electronic resources : Monograph/item
Title/Author:
Toward predicate approaches to modalityby Johannes Stern.
Author:
Stern, Johannes.
Published:
Cham :Springer International Publishing :2016.
Description:
viii, 190 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
Modality (Logic)
Online resource:
http://dx.doi.org/10.1007/978-3-319-22557-9
ISBN:
9783319225579$q(electronic bk.)
Toward predicate approaches to modality
Stern, Johannes.
Toward predicate approaches to modality
[electronic resource] /by Johannes Stern. - Cham :Springer International Publishing :2016. - viii, 190 p. :ill., digital ;24 cm. - Trends in logic,v.441572-6126 ;. - Trends in logic ;v.33..
Chapter 1. Introduction -- Chapter 2. Modality and Logic -- Chapter 3. Consistencies and Inconsistencies in Modal Logic -- Chapter 4. Modality and Axiomatic Theories of Truth -- Chapter 5. Conclusion.
In this volume, the author investigates and argues for, a particular answer to the question: What is the right way to logically analyze modalities from natural language within formal languages? The answer is: by formalizing modal expressions in terms of predicates. But, as in the case of truth, the most intuitive modal principles lead to paradox once the modal notions are conceived as predicates. The book discusses the philosophical interpretation of these modal paradoxes and argues that any satisfactory approach to modality will have to face the paradoxes independently of the grammatical category of the modal notion. By systematizing modal principles with respect to their joint consistency and inconsistency, Stern provides an overview of the options and limitations of the predicate approach to modality that may serve as a useful starting point for future work on predicate approaches to modality. Stern also develops a general strategy for constructing philosophically attractive theories of modal notions conceived as predicates. The idea is to characterize the modal predicate by appeal to its interaction with the truth predicate. This strategy is put to use by developing the modal theories Modal Friedman-Sheard and Modal Kripke-Feferman.
ISBN: 9783319225579$q(electronic bk.)
Standard No.: 10.1007/978-3-319-22557-9doiSubjects--Topical Terms:
268215
Modality (Logic)
LC Class. No.: BC199.M6
Dewey Class. No.: 160
Toward predicate approaches to modality
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Chapter 1. Introduction -- Chapter 2. Modality and Logic -- Chapter 3. Consistencies and Inconsistencies in Modal Logic -- Chapter 4. Modality and Axiomatic Theories of Truth -- Chapter 5. Conclusion.
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In this volume, the author investigates and argues for, a particular answer to the question: What is the right way to logically analyze modalities from natural language within formal languages? The answer is: by formalizing modal expressions in terms of predicates. But, as in the case of truth, the most intuitive modal principles lead to paradox once the modal notions are conceived as predicates. The book discusses the philosophical interpretation of these modal paradoxes and argues that any satisfactory approach to modality will have to face the paradoxes independently of the grammatical category of the modal notion. By systematizing modal principles with respect to their joint consistency and inconsistency, Stern provides an overview of the options and limitations of the predicate approach to modality that may serve as a useful starting point for future work on predicate approaches to modality. Stern also develops a general strategy for constructing philosophically attractive theories of modal notions conceived as predicates. The idea is to characterize the modal predicate by appeal to its interaction with the truth predicate. This strategy is put to use by developing the modal theories Modal Friedman-Sheard and Modal Kripke-Feferman.
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Mathematics and Statistics (Springer-11649)
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