Re: infinity

In article <MPG.1d63ea93f662513798a025@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:

> Virgil said:
> > In article <MPG.1d62a26e316b301a98a006@xxxxxxxxxxxxxxxxxxxxxxxxx>,
> > Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
> >
> > > Jesse F. Hughes said:
> > > > Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> writes:
> > > >
> > > > > Virgil said:
> > > > >> In article <MPG.1d618aae41392f57989fe9@xxxxxxxxxxxxxxxxxxxxxxxxx>,
> > > > >> Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
> > > > >>
> > > > >> > > Which ball is not covered by that argument?
> > > > >> > N+1 through 10n+9.
> > > > >>
> > > > >> If TO means "n+1 through 10n+9" he is presuming that there is a
> > > > >> last,
> > > > >> nth, step, which is specifically prohibited by the rules.
> > > > >>
> > > > >> And as there is no last step, there is no ball that is not covered.
> > > > >>
> > > > > Then there is no point at which the last ball is removed. Isn't that
> > > > > correct?
> > > >
> > > > The last ball? What's the number written on that one? When was it
> > > > put in?
> > > "largest finite. largest finite."
> > > >
> > > > It's this clear, incisive analysis that ensures the success of your
> > > > mathematical revolution, no doubt.
> > > >
> > > >
> > > Snideness noted.
> >
> > Snideness fully justified.
> > >
> > > If you claim that the vase at some point becomes empty, and want to
> > > challenge
> > > those that claim otherwise by asking which ball remains, then they have
> > > equal
> > > right to ask which is the final ball removed which leaves the vase empty.
> >
> > We claim empty because we can give a precise time before noon for each
> > and every ball's removal:
> >
> > There is one ball for each n in N = {1,2,3,...}. For each n in N, the
> > n'th ball is removed at 1/2^(n-1) minutes before noon.
> >
> > If TO claims that our schedule omits or overlooks some ball, it is now
> > up to TO to identify that ball which he alleges remains in the vase at
> > noon.

> I have already stated this several times. You have omitted the n+1 through
> 10n-
> 1th balls which were added before the nth ball was removed.

It appears that TO claims that there is some (n+1)st to (10n-1)st ball
whose number is so large that it does not get removed before noon.

Just how large does n have to be for one of these (n+1)st to (10n-1)st
numbered balls to be too large to get removed before noon?

Give us a specific value, TO.
.

Relevant Pages

  • Re: An uncountable countable set
    ... The only critical time dependency is that each ball to be inserted shall ... the vase is empty at noon of anything of any balls ... An affirmative answer confirms that the vase is empty at noon. ... given the times of insertions and removals. ...
    (sci.math)
  • Re: An uncountable countable set
    ... the vase, is consistent with the fact that no balls are removed at noon? ... The only relevant question is "According to the rules set up in the ... is each ball inserted before noon also removed before noon?" ... An affirmative answer confirms that the vase is empty at noon. ...
    (sci.math)
  • Re: An uncountable countable set
    ... Does Han claim that there is any ball put in that is not taken out? ... the vase empties". ... But in order for the vase to transition from not-empty ... If the vase ever became empty, ...
    (sci.math)
  • Re: infinity
    ... Number of balls in the vase at noon is f= OO. ... Unfortunately, if infinity gets involved, this statement alone is not sufficient to claim the vase is empty before noon. ... ball) is in the vase. ... You also keep ignoring my question. ...
    (sci.math)
  • Re: infinity
    ... "the vase is empty at noon". ... the vase at noon, let Rbe true if ball n was removed before noon. ... You got a concrete proof. ...
    (sci.math)