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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DOI 10.1093/philmat/nkr039
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W. Dean (2014). Models and Computability. Philosophia Mathematica 22 (2):143-166.

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Michael Rescorla (2013). Against Structuralist Theories of Computational Implementation. British Journal for the Philosophy of Science 64 (4):681-707.

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