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Re: ZFC and God
Posted:
Jan 23, 2013 11:54 AM
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On Jan 23, 3:58 am, Aatu Koskensilta <aatu.koskensi...@uta.fi> wrote:
> "Jesse F. Hughes" <je...@phiwumbda.org> writes:
>
> > We're talking about whether you can prove that
>
> > U_n=1^oo {1,...,n}
>
> > is finite.
>
> Here I think it's good idea to spell out this (just) a bit more
> explicitly: what WM seems to be asserting is that there is a finite set
> N -- i.e. a set N such that |N| = k for some natural k -- such that for
> every natural n, {1, ..., n} is a subset of N. The assertion is rank
> nonsense, whatever one thinks of infinite sets or the diagonal argument.
>
> --
> Aatu Koskensilta (aatu.koskensi...@uta.fi)
>
> "Wovon man nicht sprechen kann, dar ber muss man schweigen"
> - Ludwig Wittgenstein, Tractatus Logico-Philosophicus
Koskensilta, with your excellent vocabulary, for you to denote "rank
nonsense" twice, attributes it technical meaning, or at least a
scaffold for its development.
And I'll agree: N is not finite.
Can we further discuss Friedman's post, thank you? What is the
mathematics about the absolute and ultra-infinite? ZF is not it (as
it's most certainly incomplete where not inconsistent). And, keeping
ZF consistent has its theorems apply to its objects.
Regards,
Ross Finlayson
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