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

Leon F M Horsten

doi:10.1093/philmat/nkr039

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

Leon F M Horsten

Department of Philosophy

Research output: Contribution to journal › Article (Academic Journal) › peer-review

12 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 language	English
Pages (from-to)	275--288
Number of pages	14
Journal	Philosophia Mathematica
Volume	20
Issue number	3
Early online date	29 Dec 2011
DOIs	https://doi.org/10.1093/philmat/nkr039
Publication status	Published - 2012

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10.1093/philmat/nkr039

http://philmat.oxfordjournals.org/content/20/3/275

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The Foundations of Structuralism
Ladyman, J. A. C. (Principal Investigator)
1/10/09 → 1/10/12
Project: Research

Cite this

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AB - 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.

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

Abstract

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The Foundations of Structuralism

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