Please use this identifier to cite or link to this item: http://localhost:80/xmlui/handle/123456789/710
Title: The Many and the One: A Philosophical Study of Plural Logic
Authors: Florio, Salvatore
Linnebo, Øystein
Keywords: Plurals
Plural logic
Set theory
Mereology
Higher-order logic
Absolute generality
Modality
Singularism
Issue Date: Sep-2021
Publisher: Oxford University Press
Abstract: Plural logic has become a well-established subject, especially in philosophical logic. 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, that 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 so far. Questions about the correct logic of plurals play a central role in the last part of the book, 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.
URI: http://111.93.204.14:8080/xmlui/handle/123456789/710
ISBN: 9780198791522
Appears in Collections:Books for Research



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