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Axiom of infinity?

  1. May 11, 2008 #1

    CRGreathouse

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    In ZF, the axiom of infinity says that the set of natural numbers exists. I was wondering if there was a (finitist?) weakening of ZF that included the axiom "the class of natural numbers exists".
     
  2. jcsd
  3. May 12, 2008 #2

    CRGreathouse

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    Wait, this is a dumb question, isn't it. This actually follows from a suitable definition of classes and ZF - the axiom of infinity.

    Sorry. :redface:
     
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