Critical plural logic

Research output: Contribution to journalArticlepeer-review


Colleges, School and Institutes

External organisations

  • University of Oslo


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 languageEnglish
Pages (from-to)172–203
Number of pages32
JournalPhilosophia Mathematica
Issue number2
Publication statusPublished - 24 Jul 2020