Vom Zählen zu den Zahlen: On the relation between computation and arithmetical structuralism

Leon F M Horsten

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

7 Citations (Scopus)

Abstract

This paper sketches an answer to the question how we, in our arithmetical practice, succeed in singling out the natural-number structure as our intended interpretation. It is argued that we bring this about by a combination of what we assert about the natural-number structure on the one hand, and our computational capacities on the other hand.
Original languageEnglish
Pages (from-to)275--288
Number of pages14
JournalPhilosophia Mathematica
Volume20
Issue number3
Early online date29 Dec 2011
DOIs
Publication statusPublished - 2012

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