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Toward Predicate Approaches to Modality [electronic resource] / by Johannes Stern.

By: Contributor(s): Series: Trends in Logic, Studia Logica Library ; 44Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Edition: 1st ed. 2016Description: VIII, 190 p. 2 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319225579
Subject(s): Genre/Form: Additional physical formats: Printed edition:: No titleDDC classification:
  • 160 23
LOC classification:
  • BC1-199
Online resources:
Contents:
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: Springer eBooksSummary: 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.
Item type: eBooks
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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.

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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