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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Cantor's argument and the Potential Infinite.
Replies: 17   Last Post: Nov 17, 2012 10:59 PM

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Uirgil

Posts: 181
Registered: 4/18/12
Re: Cantor's argument and the Potential Infinite.
Posted: Nov 17, 2012 10:59 PM
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In article <k88oog$tno$1@dont-email.me>,
"LudovicoVan" <julio@diegidio.name> wrote:

> >> Sure, N is the minimal set with 0 and closed under the successor
> >> operation.
> >>
> >> But that remains a characterization of a *potential infinity*.
> >>
> > In ZFC that particular set is actual.
>
> Yet you have shown no ground to call it actual, in fact the opposite.

It is well known by anyone who knows anything about ZFC that in ZFC
there is an inductive set, and since in ZFC there is nothing else but
actual sets, that set is actual, not merely potential.

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