The 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

Plural 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 “critical” alternative. The most striking feature of this alternative is that there is no universal plurality. This leads to a novel approach to the relation between the many and the one. In particular, critical plural logic paves the way for an account of sets capable of solving the set-theoretic paradoxes.
Les mer
Plural logic 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? The result is a more nuanced picture of plural logic's applications than has been given thus far.
Les mer
1: 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 Logic
Les mer
The 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.
Les mer
The most comprehensive discussion to date of plural logic and its significance for philosophy and linguistics Develops a novel "critical" plural logic Offers a systematic analysis of alternative theoretical frameworks and applications of plural logic Open Access publication, available online under a CC BY-NC-ND 4.0 license
Les mer
Salvatore 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).
Les mer
The most comprehensive discussion to date of plural logic and its significance for philosophy and linguistics Develops a novel "critical" plural logic Offers a systematic analysis of alternative theoretical frameworks and applications of plural logic Open Access publication, available online under a CC BY-NC-ND 4.0 license
Les mer

Produktdetaljer

ISBN
9780198791522
Publisert
2021
Utgiver
Vendor
Oxford University Press
Vekt
534 gr
Høyde
223 mm
Bredde
145 mm
Dybde
25 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
330

Biographical note

Salvatore 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).