Virgil
Posts:
4,482
Registered:
1/6/11
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Re: Distinguishability of paths of the Infinite Binary tree???
Posted:
Dec 27, 2012 4:08 PM
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In article <SZednTPWJKt04EHNnZ2dnUVZ_qWdnZ2d@giganews.com>,
fom <fomJUNK@nyms.net> wrote:
> On 12/27/2012 5:31 AM, gus gassmann wrote:
> > On 26/12/2012 5:03 PM, fom wrote:
> >
> >> On 12/26/2012 2:34 PM, Virgil wrote:
> >
> >>> Or does WM claim a definition of countability other than the standard
> >>> one?
> >>>
> >>
> >> He does. He stated it.
> >>
> >> A set is countable iff it is a subset of a countable set.
> >
> > This definition is, of course, circular, and should convince anyone who
> > reads it that the writer of this "definition" does not understand the
> > first points of mathematics.
> >
> >> Infinite sets are, therefore, if they exist, uncountable.
> >
> > And this is a non-sequitur.
>
> This is just wrong, as George has pointed out.
>
> What I was thinking but not saying is that a countable
> infinity is like a round square for WM
WM's head shape, perhaps?
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