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Toward Predicate Approaches to Modality (Hardcover, 1st ed. 2016)
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Toward Predicate Approaches to Modality (Hardcover, 1st ed. 2016)
Series: Trends in Logic, 44
Expected to ship within 12 - 17 working days
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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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