Virgil
Posts:
4,483
Registered:
1/6/11
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Re: ZFC and God
Posted:
Jan 25, 2013 1:58 PM
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In article
<23c75ce4-2ede-43e1-87d2-a61866fe1787@w3g2000yqj.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 25 Jan., 01:23, Virgil <vir...@ligriv.com> wrote:
> > In article
> > <1bff3260-2afe-4cb5-b296-cbfcd9313...@x3g2000yqo.googlegroups.com>,
> >
> > WM <mueck...@rz.fh-augsburg.de> wrote:
> > > On 24 Jan., 21:43, Virgil <vir...@ligriv.com> wrote:
> >
> > > > > > U_n {1,...,n} is not infinite. (*)
> >
> > > > > It is not actually infinite. The cardinality is not larger than every
> > > > > n.
> >
> > > > Then there must be some n that it is not larger than.
> >
> > > > Either
> >
> > > There can be every n. Because no n is infinite!
> >
> > If there can be "every n", then there can be set containing "every n".
>
> There can be the set of all terminating decimal fractions (0. d_1,
> d_2, ..., d_n), containing every n as the last digit, is a set without
> non-terminating decimal fraction, isn't it?
How would the existence of such a set prevent the existence of a set of
all decimals between 0 and 1?
> >
> >
> >
> > > What is actually infinite is something that has *no* last n, if I
> > > remember correctly what you have said.
> >
> > You have not!
> >
> > That only would apply to ordered sets, like |N
>
> you mean the indices of digits of decimal fractions?
|N has many other uses.
>
> Regards, WM
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