Vom Zahlen zu den Zahlen: On the Relation Between Computation and Arithmetical Structuralism

Philosophia Mathematica 20 (3):275-288 (2012)
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
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Reprint years 2012
DOI 10.1093/philmat/nkr039
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References found in this work BETA
Computational Structuralism.Volker Halbach & Leon Horsten - 2005 - Philosophia Mathematica 13 (2):174-186.
Recantation or Any Old W-Sequence Would Do After All.Paul Benacerraf - 1996 - Philosophia Mathematica 4 (2):184-189.

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Citations of this work BETA
Models and Computability.W. Dean - 2014 - Philosophia Mathematica 22 (2):143-166.
The Representational Foundations of Computation.Michael Rescorla - 2015 - Philosophia Mathematica 23 (3):338-366.

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