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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.
List of contents
- 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
About the author
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).
Summary
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.
Additional text
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.