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Rumfitt on the logic of set theory

Linnebo, Øystein
Journal article; AcceptedVersion; Peer reviewed
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Rumfitt.pdf (247.7Kb)
Year
2018
Permanent link
http://urn.nb.no/URN:NBN:no-77478

CRIStin
1628898

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Appears in the following Collection
  • Institutt for filosofi, ide- og kunsthistorie og klassiske språk [320]
  • CRIStin høstingsarkiv [16019]
Original version
Inquiry (Oslo). 2018, 62 (7), 826-841, DOI: https://doi.org/10.1080/0020174X.2018.1530832
Abstract
According to a famous argument by Dummett, the concept of set is indefinitely extensible, and the logic appropriate for reasoning about the instances of any such concept is intuitionistic, not classical. But Dummett's argument is widely regarded as obscure. This note explains how the final chapter of Rumfitt's important new book advances our understanding of Dummett's argument, but it also points out some problems and unanswered questions. Finally, Rumfitt's reconstruction of Dummett's argument is contrasted with my own preferred alternative.
 
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