Virgil
Posts:
4,479
Registered:
1/6/11
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Re: Matheology � 038
Posted:
Jun 18, 2012 12:10 PM
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In article
<3b3743fb-b647-41f1-b845-638fac03d419@f7g2000yqh.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 17 Jun., 19:51, PotatoSauce <kiwisqu...@gmail.com> wrote:
> > On Sunday, June 17, 2012 1:12:31 PM UTC-4, WM wrote:
> > > On 17 Jun., 17:56, PotatoSauce <kiwisqu...@gmail.com> wrote:
> > > > On Sunday, June 17, 2012 8:50:28 AM UTC-4, WM wrote:
> >
> > > > > Here you intermingle the cardinality of a set with varying membership
> > > > > and the cardinality of a set of subsets, where each subset remains
> > > > > equipped with two endpoints.
> >
> > > > Your inability to understand the flaw in your own reasoning is truly
> > > > baffling.
> >
> > > Why don't you outline it?
> >
> > > Regards, WM
> >
> > Let's see.
> >
> > Your whole argument is based on the false assumption that your "continuous"
> > process somehow preserves cardinality and some other properties.
>
> The sliding of point should not preserve their number?
> >
> > I gave you an example of a "continuous process" which does not preserve
> > cardinality amongst many things.
>
> You gave an example (by the way it was erroneous):
>
> (0,t) = { x: 1< x <t}
> When you "slide" from t=-1 to t=1, a "continuous" process, the set
> goes from being an empty set to an infinite set
>
> In fact the set is empty for every t from t=-1 to t=1.
>
> But the important error is that you (intended) to change the cardinal
> number in a finite step. That is not possible in my example. Every
> finite sliding of an endpoint maintains the number of intervals.
Except that in sliding endpoints of one interval, it may be made to
coincide with others, and so lose its own identity.
Furthermore, WM makes all sorts of claims about his results with no
formal proofs or even reasonable discussions of why one would expect
such results.
But then, WM has shown himself unable to provide valid proofs of his own
claims all too often in the past, so that one is no longer surprised by
his present failures to proved them.
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