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

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Tác giả: Salvatore Florio, Øystein Linnebo

Ngôn ngữ: eng

ISBN-13: 978-0198791522

Ký hiệu phân loại:

Thông tin xuất bản: Oxford Oxford University Press 2021

Mô tả vật lý: 1 electronic resource (336 p.)

Bộ sưu tập: Tài liệu truy cập mở

ID: 209217

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, 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 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 paradoxes.
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