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Toward Predicate Approaches to Modality

  • Johannes Stern

Part of the Trends in Logic book series (TREN, volume 44)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Johannes Stern
    Pages 1-21
  3. Johannes Stern
    Pages 23-67
  4. Johannes Stern
    Pages 121-173
  5. Johannes Stern
    Pages 175-176
  6. Back Matter
    Pages 177-190

About this book

Introduction

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.

Keywords

Modal Predicates Modal logic Montague’s Theorem Multimodal Logic Paradoxes of Interaction Paradoxes of indirect discourse Propositional Attitudes Provability Logic Semantic Paradoxes Syntactical treatment of modality Theories of Truth

Authors and affiliations

  • Johannes Stern
    • 1
  1. 1.Munich Center for Mathematical Philosophy, Fakultät für Philosophie und ReligionswissenschaftenLudwig-Maximilians-Universität München, Munich Center for Mathematical PhilosophyMünchenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-22557-9
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-22556-2
  • Online ISBN 978-3-319-22557-9
  • Series Print ISSN 1572-6126
  • Series Online ISSN 2212-7313
  • Buy this book on publisher's site