Axiom of infinity?

  • #1
CRGreathouse
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Main Question or Discussion Point

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".
 

Answers and Replies

  • #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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