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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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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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"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 Boricic, Mathematical Reviews, May 2017)

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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.

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