Virgil
Posts:
4,482
Registered:
1/6/11
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Re: Matheology � 047
Posted:
Jul 1, 2012 5:40 PM
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In article
<d705addf-6c38-4b65-ac75-a9ea3a0e744b@w24g2000vby.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 30 Jun., 23:50, "Mike Terry"
> > It is not I making the claim, it is you. I just responded to the claims in
> > your thread, that YOU started. So it is you who have to provide the proof,
> > not me.
>
> I have provided a proof that there are countably many intervals and as
> many intervals in the complement. The proof is built upon the
> continuity of the sliding of endpoints.
What WM has provided is called hand-waving in mathematical circles.
> After rejecting your idea of a
> function moving the endpoints and leading from countably many
> intervals to uncountably many intervals, by sliding the endpoints in a
> completely arbitrary manner, there remains nothing to prove.
There remains a great gap between what you have provided, sliding
points, and anything like what you have claimed to prove.
>
> I have proved that transfinity is inconsistent unless nonsensical
> assumptions are made.
Only to your own satisfaction, but not to the satisfacton of any proper
mathematician.
> But such can always be made. For instance you
> can believe in solipsism. There is nothing to prove or to disprove in
> unscientific belief like that or matheology.
We agree that WMatheology is idiotic, we merely disagree an who is the
one claiming that it is actually mathematics.
Wm claims his ennumeration of the rationals as midpoints of intervals
I_n of length 1/10^n leaves uncovered only endpoints of maxima clusters
of connected unions of those I_N's, thus he claims at most countably
many points not covered by any I_N.
But then one can uncover all those countably many uncovered points by
intervals J_n each of length 1/10^n
Thus, if WM were right, he would have proved 1 - 0 < 2/9.
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