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  • © 2016

Toward Predicate Approaches to Modality

Authors:

  • Offers the first book-length discussion of predicate approaches to modality
  • Introduces new logical concepts and theories
  • Provides a systematic discussion of the distinction between modal operators and predicates
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-viii
  2. Introduction

    • Johannes Stern
    Pages 1-21
  3. Modality and Logic

    • Johannes Stern
    Pages 23-67
  4. Modality and Axiomatic Theories of Truth

    • Johannes Stern
    Pages 121-173
  5. Conclusion

    • Johannes Stern
    Pages 175-176
  6. Back Matter

    Pages 177-190

About this book

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.

Reviews

“The book can be considered a deep analysis of modal paradoxes, providing an overview of limitations of the predicate modality treatment.  It is almost self-contained and presents a good starting point in research of the axiomatic theories of truth.” (Branislav Boričić, Mathematical Reviews, May 2017)

Authors and Affiliations

  • Munich Center for Mathematical Philosophy, Fakultät für Philosophie und Religionswissenschaften, Ludwig-Maximilians-Universität München, Munich Center for Mathematical Philosophy, München, Germany

    Johannes Stern

About the author

Johannes Stern is currently a postdoctoral researcher at the Munich Center for Mathematical Philosophy. He received his PhD in 2012 from the University of Geneva.and was awarded the Paul Bernays Award by the Swiss Society of Logic and Philosophy of Science for his doctoral dissertation. Johannes Stern s main research interests are in Logic, Philosophy of Logic and Language, and Epistemology.

Bibliographic Information

  • Book Title: Toward Predicate Approaches to Modality

  • Authors: Johannes Stern

  • Series Title: Trends in Logic

  • DOI: https://doi.org/10.1007/978-3-319-22557-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-22556-2Published: 28 October 2015

  • Softcover ISBN: 978-3-319-36952-5Published: 23 August 2016

  • eBook ISBN: 978-3-319-22557-9Published: 20 October 2015

  • Series ISSN: 1572-6126

  • Series E-ISSN: 2212-7313

  • Edition Number: 1

  • Number of Pages: VIII, 190

  • Topics: Logic, Metaphysics, Epistemology

Buy it now

Buying options

Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access