Critical plural logic

Salvatore Florio; Øystein Linnebo

doi:10.1093/philmat/nkaa020

Critical plural logic

Salvatore Florio, Øystein Linnebo

Philosophy

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Abstract

What is the relation between some things and the set of these things? Mathematical practice does not provide a univocal answer. On the one hand, it relies on ordinary plural talk, which is implicitly committed to a traditional form of plural logic. On the other hand, mathematical practice favors a liberal view of definitions which entails that traditional plural logic must be restricted. We explore this predicament and develop a "critical" alternative to traditional plural logic.

Original language	English
Pages (from-to)	172–203
Number of pages	32
Journal	Philosophia Mathematica
Volume	28
Issue number	2
DOIs	https://doi.org/10.1093/philmat/nkaa020
Publication status	Published - 24 Jul 2020

ASJC Scopus subject areas

Mathematics(all)
Philosophy

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10.1093/philmat/nkaa020Licence: None: All rights reserved

FloreoS2020Critical
This is a pre-copyedited, author-produced version of an article accepted for publication in Philosophia Mathematica, following peer review. The version of record Salvatore Florio, Øystein Linnebo, Critical Plural Logic, Philosophia Mathematica, Volume 28, Issue 2, June 2020, Pages 172–203, is available online at: https://doi.org/10.1093/philmat/nkaa020
Accepted author manuscript, 359 KBLicence: None: All rights reserved

https://doi.org/10.1093/philmat/nkaa020Licence: None: All rights reserved

Cite this

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Critical plural logic

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