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)
141 Downloads (Pure)

Abstract

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
Volume48
Issue number4
Early online date25 Oct 2018
DOIs
Publication statusPublished - 15 Aug 2019

Keywords

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

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