Virgil
Posts:
4,483
Registered:
1/6/11
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Re: Matheology � 062
Posted:
Jul 11, 2012 6:20 PM
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In article <jtks75$rg9$1@speranza.aioe.org>,
"LudovicoVan" <julio@diegidio.name> wrote:
> "Virgil" <virgil@ligriv.com> wrote in message
> news:virgil-70C80B.15405811072012@bignews.usenetmonster.com...
> > In article <jtkosh$jfu$1@speranza.aioe.org>,
> > "LudovicoVan" <julio@diegidio.name> wrote:
> >> "Virgil" <virgil@ligriv.com> wrote in message
> >> news:virgil-EB807A.14294811072012@bignews.usenetmonster.com...
> >> > In article
> >> > <102d7112-2118-4971-9b90-498b1a1c32b8@v9g2000vbc.googlegroups.com>,
> >> > WM <mueckenh@rz.fh-augsburg.de> wrote:
> >> <snip>
> >>
> >> >> In mathematics both diverges but has an improper limit, namely
> >> >> infinity.
> >> >
> >> > But in mathematics, just as in set theory, the final result is
> >> > |N \ |N = {}.
> >>
> >> Irremediably wrong.
> >
> > Name one naturally numbered ball which has not entered the vase by
> > time t = 0. Otherwise those numbers entered fill |N.
>
> All naturally-numbered balls enter the vase by time t=0. But, by *that*
> time, the vase is not equivalent to |N.
>
> > Name one naturally numbered ball which has not been removed from the
> > vase by time t=0. That means the numbers removed fill |N.
>
> All naturally-numbered balls exit the vase by time t=0. But, by *that*
> time, the vase is not equivalent to |N.
No one, not even WM, said it was.
>
> > The set difference set |N \ |N is, in any set theory having a set |N,
> > the empty set, {}.
>
> Which is utterly irrelevant to the problem at hand.
Except that the set of balls having entered the vase by t = 0 is |N and
the set of balls heveing exited the vase by t = 0i also |N leveing the
contents of the vase as |N \ |N = {}.
> You miss the point completely, and unnecessarily on this one.
I do not miss that |N \ |N = {}.
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