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Critical Plural Logic

Linnebo, Øystein; Florio, Salvatore
Journal article; AcceptedVersion; Peer reviewed
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Item resctricted until:2021-07-24
Florio_Linnebo_ ... al_Logic_28_April_2020.pdf (347.9Kb)
Year
2020
Permanent link
http://urn.nb.no/URN:NBN:no-83589

CRIStin
1836374

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Appears in the following Collection
  • Institutt for filosofi, ide- og kunsthistorie og klassiske språk [314]
  • CRIStin høstingsarkiv [15853]
Original version
Philosophia Mathematica. 2020, 28 (2), 172-203, DOI: https://doi.org/10.1093/philmat/nkaa020
Abstract
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.
 
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