Re: infinity

Martin Shobe said:
> On Tue, 9 Aug 2005 11:18:12 -0400, Tony Orlow (aeo6)
> <aeo6@xxxxxxxxxxx> wrote:
>
> >David C. Ullrich said:
> >> On Mon, 8 Aug 2005 10:34:37 -0400, Tony Orlow (aeo6)
> >> <aeo6@xxxxxxxxxxx> wrote:
> >>
> >> >David C. Ullrich said:
> >> >> On Wed, 03 Aug 2005 16:16:30 +0200, Jeroen Boschma
> >> >> <jeroen.boschma@xxxxxx> wrote:
> >> >>
> >> >> >
> >> >> >
> >> >> >"David C. Ullrich" wrote:
> >> >> >>
> >> >> >> On Wed, 03 Aug 2005 07:43:16 -0500, David C. Ullrich
> >> >> >> <ullrich@xxxxxxxxxxxxxxxx> wrote:
> >> >> >>
> >> >> >> >On Wed, 03 Aug 2005 12:20:06 +0200, Jeroen Boschma
> >> >> >> ><jeroen.boschma@xxxxxx> wrote:
> >> >> >> >
> >> >> >> >>Theo Jacobs wrote:
> >> >> >> >>>
> >> >> >> >>> Hello everyone,
> >> >> >> >>>
> >> >> >> >>> I'm having an argument with a friend about the following problem:
> >> >> >> >>>
> >> >> >> >>> Suppose you have a giant vase and a bunch of ping pong balls with an
> >> >> >> >>> integer written on each one, e.g. just like the lottery, so the balls
> >> >> >> >>> are numbered 1, 2, 3, ... and so on. At one minute to noon you put
> >> >> >> >>> balls 1 to 10 in the vase and take out number 1. At half a minute to
> >> >> >> >>> noon you put balls 11 - 20 in the vase and take out number 2. At one
> >> >> >> >>> quarter minute to noon you put balls 21 - 30 in the vase and take out
> >> >> >> >>> number 3. Continue in this fashion. Obviously this is physically
> >> >> >> >>> impossible, but you get the idea. Now the question is this: At noon,
> >> >> >> >>> how many ping pong balls are in the vase?
> >> >> >> [...]
> >> >When, exactly, does ball 2 get removed?
> >>
> >> At half a minute to noon. It says so above:
> >>
> >> "At half a minute to
> >> noon you put balls 11 - 20 in the vase and take out number 2."
> >I believe I was referring to the other scenario, where you add balls 11-20 and
> >remove ball 11, but you seem to have conveniently removed that context from
> >right before my response. Typical.
>
> But in the other scenario, the "Cantorians" say that the vase contains
> 2. So your objection to the "Cantorians" saying it contains the
> number 2 is that it contains the number 2. Ok....
>
> Martin
>
>
My objection is that, while performing the same operation which clearly adds
nine balls at each iteration, you are playing games with ball labels and
deriving multiple results due to labelling of the balls, which is unnecessary
at best, and really nonproductive and nonsensical.

In the other scenario, whatever ball n you claim to be the last out of the vase
was preceded by 9n balls already added to the vase which have not yet been
removed.
--
Smiles,

Tony
.

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