Re: An uncountable countable set

In article <453912ec@xxxxxxxxxxxxxxxxxxx>,
Tony Orlow <tony@xxxxxxxxxxxxx> wrote:

David Marcus wrote:
Tony Orlow wrote:
David Marcus wrote:
Tony Orlow wrote:
Virgil wrote:
In article <4533d315@xxxxxxxxxxxxxxxxxxx>,
Tony Orlow <tony@xxxxxxxxxxxxx> wrote:
Then let us put all the balls in at once before the first is removed
and
then remove them according to the original time schedule.
Great! You changed the problem and got a different conclusion. How
very....like you.
Does TO claim that putting balls in earlier but taking them out as in
the original will result in fewer balls at the end?
If the two are separate events, sure.
Not sure what you mean by "separate events". Suppose we put all the
balls in at one minute before noon and take them out according to the
original schedule. How many balls are in the vase at noon?
empty.

Why?


Because of the infinite rate of removal without insertions at noon.

Except that no balls are removed "at noon", so the rate of removal
"at noon" is zero. What TO is trying to say is that the set of rates of
removal near noon (in any neighborhood of noon) are unbounded.
.

Relevant Pages

  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... The only necessary constraint on insertions of balls into the vase and removals of balls from the vase is that each ball that is to be removed must be inserted before it can be removed, and, subject only to that constraint, the set of balls remaining in the vase at the end of all removals is independent of both the times of insertion and of the times of removal. ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... insertions and the removals are still all completed before noon, ... Then you are inserting balls one at a time, ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... If TO is not happy with the set representing 1 containing a single item ... that Virgil stopped talking to me because he sees reason in the null ... At some point, each one of those balls was in the vase, when? ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... then remove them according to the original time schedule. ... the original will result in fewer balls at the end? ... Not sure what you mean by "separate events". ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... then remove them according to the original time schedule. ... the original will result in fewer balls at the end? ... Not sure what you mean by "separate events". ...
    (sci.math)
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