The Many and the One: A Philosophical Study of Plural Logic by Florio, Salvatore

The Many and the One: A Philosophical Study of Plural Logic (Hardcover) (ISBN-13: 9780198791522)

Vendor: Salvatore Florio
Product type: Books
Format: Hardcover
$90.00
$90.00
$90.00
Subtotal: $90.00
The Many and the One: A Philosophical Study of Plural Logic by Florio, Salvatore

The Many and the One: A Philosophical Study of Plural Logic

$90.00
The Many and the One: A Philosophical Study of Plural Logic by Florio, Salvatore

The Many and the One: A Philosophical Study of Plural Logic

$90.00
Format: Hardcover
Description
Description
x
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.

Author: Salvatore Florio, ﾘYstein Linnebo
ISBN-10: 0198791526
ISBN-13: 9780198791522
Publisher: Oxford University Press, USA
Language: English
Published: 09/22/2021
Pages: 336
Format: Hardcover
Weight: 1.20lbs
Size: 9.20h x 5.60w x 1.10d
By Salvatore Florio
By Salvatore Florio
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Salvatore Florio, Senior Lecturer in Philosophy, University of Birmingham, ﾘystein Linnebo, University of Oslo

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.

ﾘystein 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).

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