1. May 11, 2008 #1

   CRGreathouse

   

   Science Advisor

   Homework Helper

   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".

    

   CRGreathouse, May 11, 2008
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3. May 12, 2008 #2

   CRGreathouse

   

   Science Advisor

   Homework Helper

   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.

    

   CRGreathouse, May 12, 2008

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