Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective

Leon Horsten, Stanislav O. Speranski*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
198 Downloads (Pure)


Inspired by Kit Fine’s theory of arbitrary objects, we explore some ways in which the generic structure of the natural numbers can be presented. Following a suggestion of Saul Kripke’s, we discuss how basic facts and questions about this generic structure can be expressed in the framework of Carnapian quantified modal logic.

Original languageEnglish
Pages (from-to)685-707
Number of pages23
JournalJournal of Philosophical Logic
Issue number4
Early online date25 Oct 2018
Publication statusPublished - 15 Aug 2019


  • Arbitrary objects
  • Generic structures
  • Individual concepts
  • Quantified modal logic


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