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Re: Uncountable Diagonal Problem
Posted:
Jan 1, 2013 6:04 PM
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On Jan 1, 2:57 pm, Virgil <vir...@ligriv.com> wrote:
> In article
> <659c05ff-5b34-4ebe-9617-4d54292a9...@pp8g2000pbb.googlegroups.com>,
> "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:
>
> > The transfinite course-of-passage in well-ordering the reals sees a
> > diminishing interval. Do the endpoints of the interval meet, in the
> > well-ordering? A critical point of Cantor's first is that the
> > intersection is non-empty.
>
> It is a well known property of the real number line, at least among
> mathematicians, that nested sequence of closed intervals has non-empty
> intrsection.
>
> Doe Ross claim otherwise?
> --
http://www.tiki-lounge.com/~raf/finlayson_injectrationals.pdf
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