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OverviewPlural expressions found in natural languages allow us to talk about many objects simultaneously. Plural logic -- a logical system that takes plurals at face value -- has seen a surge of interest in recent years. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main applications, the book provides a systematic analysis of the relation between this logic and other theoretical frameworks such as set theory, mereology, higher-order logic, and modal logic. The applications of plural logic rely on two assumptions, namely that this logic is ontologically innocent and has great expressive power. These assumptions are shown to be problematic. The result is a more nuanced picture of plural logic's applications than has been given thus far. Questions about the correct logic of plurals play a central role in the final chapters, where traditional plural logic is rejected in favor of a Full Product DetailsAuthor: Salvatore Florio (Senior Lecturer in Philosophy, University of Birmingham) , Øystein Linnebo (University of Oslo)Publisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 14.50cm , Height: 2.50cm , Length: 22.30cm Weight: 0.001kg ISBN: 9780198791522ISBN 10: 0198791526 Pages: 336 Publication Date: 22 July 2021 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1: Introduction I. Primitive Plurals 2: Taking Plurals At Face Value 3: The Refutation of Singularism? II. Comparisons 4: Plurals and Set Theory 5: Plurals and Mereology 6: Plurals and Second-Order Logic III. Plurals and Semantics 7: The Semantics of Plurals 8: On the Innocence and Determinacy of Plural Quantification 9: Superplurals IV. The Logic and Metaphysics of Plurals 10: Plurals and Modals 11: Absolute Generality and Singularization 12: Critical Plural LogicReviewsThe volume by Florio and Linnebo is a most welcome contribution, and I believe it will be valuable not only for philosophers of logic and philosophical logicians, but also for philosophers of mathematics who are interested in the possible applications of plural logic to logico-mathematical theories and the broadly philosophical issues that these applications give rise to. * Francesca Boccuni, Philosophia Mathematica * Author InformationSalvatore Florio is a Senior Lecturer in Philosophy at the University of Birmingham. He specializes in philosophy of language, philosophical logic, and philosophy of mathematics. His published work, which focuses on questions about the nature of logic and the foundations of semantics, has appeared in journals such as Australasian Journal of Philosophy, Mind, Nous, Philosophers' Imprint, and Philosophy and Phenomenological Research. Since 2019 he has been an editor of The Review of Symbolic Logic. Øystein Linnebo is Professor of Philosophy at the University of Oslo. His main research interests lie in the philosophies of logic and mathematics, metaphysics, and early analytic philosophy (especially Frege). A recipient of an ERC Starting Grant, he has published more than sixty scientific articles and is the author of Philosophy of Mathematics (Princeton University Press, 2017) and Thin Objects: An Abstractionist Account (Oxford University Press, 2018). Tab Content 6Author Website:Countries AvailableAll regions |
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