Why Numbers Are Sets

Synthese 133 (3):343-361 (2002)
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Abstract
I follow standard mathematical practice and theory to argue that the natural numbers are the finite von Neumann ordinals. I present the reasons standardly given for identifying the natural numbers with the finite von Neumann's. I give a detailed mathematical demonstration that 0 is {} and for every natural number n, n is the set of all natural numbers less than n. Natural numbers are sets. They are the finite von Neumann ordinals.
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2004
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STEWNA-4
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Archival date: 2020-02-22
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Multiple Reductions Revisited.Clarke-Doane, Justin

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2009-01-28

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