Re: infinity

stephen@xxxxxxxxxx said:
> Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
> > Jesse F. Hughes said:
> >> Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> writes:
> >>
> >> >> Why? Was there a last one added? If not, how did the process of
> >> >> adding balls end? The process of taking them out ended the same way:
> >> >> without a final step.
> >> > The process ended at noon. How did the process end?
> >>
> >> The same way the process of putting the balls in ended. Are you
> >> claiming there was a last ball added? If not, why do you ask when the
> >> last ball was removed?
> > because you claim there were balls in the vase, and then it became empty, and
> > you are only removing 1 ball at a time, so there MUST have been a last ball
> > removed.
>
> And you are claiming that the vase started out with a finite number
> of balls, and ended up with an infinite number of balls, and you are
> only adding a net of 9 balls at a time, so there must have been a point
> at which n+9 = oo for some finite n, right?
LOL!!! I suppose if the problem were that we added one ball at a time every 1/2
^n seconds, that it would never reach infinity either, because of your "no
largest finite number" mantra? Give it up already. That nonsense is not an
excuse or an explanation for any of this absurdity. I can't believe you would
be so short-sighted as to try to raise that tired o;d rotten red herring in
such an obviously irrelevant place.
>
> Exactly when does the number of balls in the vase become infinite?
> For which n does n+9 = oo?
When n is infinite, then 9n is infinite. that is obvious. Thank you for showing
just how often, and how inappropriately, this red herring is raised. Good job.
Now, drop it.
>
> Stephen
>

--
Smiles,

Tony
.

Relevant Pages

  • Re: infinity
    ... >> I is the union of a bunch of sets. ... >> Define I_n to be the set of balls added at step n. ... by definition the vase is empty at state E. ... > are an infinite number of sets I_n", ...
    (sci.math)
  • Re: infinity
    ... >>> Which axioms allow completion of an infinite ... That's what a sequence is, by the way: ... > If you do not interrupt the process, the vase never "reaches" noon. ... > where xis the number of balls labeled i. ...
    (sci.math)
  • Re: infinity
    ... the set of balls in the vase at state E ... >> consists of a finite number of sets or an infinite number of sets. ... The sum of an infinite series does depend on the number ...
    (sci.math)
  • Re: infinity
    ... Since there are an infinite ... >>> in the vase and state E, I don't have any problem with the vase ... >>> of balls in the vase at state E, ... the missing something that happens is the preservation of the ratio ...
    (sci.math)
  • Re: infinity
    ... >>> never get the empty set at any finite step. ... > Which balls are in the vase at state E. ... > the vase at any finite step. ... A larger infinity than the infinite number that have been ...
    (sci.math)