Re: infinity

Randy Poe said:
>
> Tony Orlow (aeo6) wrote:
> > > Are you deaf or what? There is _no_ ball which is last out of the
> > > vase.
> > Then it's never empty! :D
>
> There is no ball which is last *into* the vase either. Does
> that mean the vase is never full?
>
> There is also no ball which fails to be removed. So how
> can the vase be anything but empty?
>
> > No, what is bizaree is that you claim there is no last ball out of the vase
>
> Because there are infinitely many balls.
>
> What we do claim is that every one of these infinitely many
> balls is removed. No last removal because there is no last
> insertion.
>
> > because there is always another one, and yet, somehow it becomes empty.
>
> There are infinitely many removals, exactly one for each ball,
> just enough to make sure every one is taken out.
>
> - Randy
>
>
Exactly how many balls are inserted, that is, which is the last ball inserted
at or before noon? Can you say exactly what I is?
--
Smiles,

Tony
.

Relevant Pages

  • 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. ...
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  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... we can say "the last ball was taken out then". ... there are balls in the vase. ... If the vase is empty at noon, but not before, how can that not be the ...
    (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: An uncountable countable set
    ... Tony Orlow wrote: ... we can say "the last ball was taken out then". ... there are balls in the vase. ... If the vase is empty at noon, but not before, how can that not be the moment that it becomes empty? ...
    (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". ... If the vase ever became empty, ...
    (sci.math)