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Wednesday, October 15, 2008

Set-theoretic definition of natural numbers

Set theoreticetic definition of the natural numbers

Consider this a prelimenary draft. I thought this article is called for, but I do not see myself an authority on the subject. -- yish

John von Neumann proposed the folowing definition:

  1. Define the empty set to be zero.
  2. Define the successor of n as n ∪ {n}

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