The Many and the One: a Philosophical Study of Plural Logics

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2022.10.03 : View this Review Online | View Recent NDPR Reviews

Salvatore Florio and Øystein Linnebo, The Many and the One: a Philosophical Study of Plural Logics, Oxford University Press, 2021, 314pp., $85.00 (hbk), ISBN 9780198791522.

Reviewed by Graham Priest, CUNY Graduate Center/University of Melbourne/Ruhr University of Bochum

Plural logics are logics which countenance pluralities. More precisely, they extend the expressive resources of standard logic with a new kind of variable taken to range over pluralities, terms that refer to such, and maybe predicates applying to them. Since the groundbreaking work of George Boolos on the subject in the 1990s, a great deal of work has gone into developing these ideas, exploring their technical aspects, and their philosophical implications. The present book by Salvatore Florio and Øystein Linnebo (hereafter, FL) very much captures the present state of the art. It is written in a clear and accessible way, and is understandable by anyone with a grasp of second-order logic. In many chapters, technical details and proofs are sensibly deferred to appendices,…

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