Re: An uncountable countable set

Randy Poe wrote:
Tony Orlow wrote:
Randy Poe wrote:
Tony Orlow wrote:
Randy Poe wrote:
Tony Orlow wrote:
Virgil wrote:
In article <45189d2a@xxxxxxxxxxxxxxxxxxx>,
Tony Orlow <tony@xxxxxxxxxxxxx> wrote:

Virgil wrote:
In article <45187409@xxxxxxxxxxxxxxxxxxx>,
Tony Orlow <tony@xxxxxxxxxxxxx> wrote:
If so, then why do you say "There is no
infinite case"?
Because there isn't any.
There is no noon in the Zeno machine?
There's no ball put in at noon in the Zeno machine.

All cases, all Zeno balls, are put in before noon.

- Randy

At any time finitely before noon, only a finite number of balls have
been processed. Do you disagree?
I agree.

Are you suggesting that the vase fills
at some *infinitesimal* amount of time before noon?
No. There is no time before noon when the vase is full.
Let t be any time before noon. Infinitely many balls
will be inserted into the vase after t, but before noon.

How does that differ, in your view, from being *at* noon?
Well since I also don't say "it fills at an infinitesimal
time before noon", there is no need to distinguish
one nonsensical statement from the other.

But, you do say it fills,

Probably not. I wouldn't know how to describe "full"
for an infinite vase.

or empties, right?

It definitely empties, since every ball you put in is
later taken out.

So, it definitely empties......


And, at the same time you
say it does not do so at noon, nor does it do so before noon. When does
this occur?

It doesn't.

....but it doesn't!

Wow, that's deep. Math is cool.

There is no last ball, so I wouldn't say there's
a point where the nonexistent last ball goes in, nor
would I say there's a full state corresponding to the
nonexistent last ball.

Oh definitely not. I mean, definitely. Or not.


So the reason I don't say it's full "an infinitesimal time
before noon" or "some other time before noon" is that
I don't say it's full.

But, you do say it's full or empty, right? :|


- Randy


Tony
.

Relevant Pages

  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... But, no infinite values are allowed i the experiment, so this cannot happen, and noon is excluded. ... An affirmative confirms that the vase is empty at noon. ... It is a good deal less inane and less nonsensical than trying to maintain, as TO and his ilk do, that a vase from which every ball has been removed before noon contains any balls at noon that have not been removed. ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... There's no ball put in at noon in the Zeno machine. ... for an infinite vase. ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... infinite case"? ... There is no noon in the Zeno machine? ... All cases, all Zeno balls, are put in before noon. ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... infinite case"? ... There's no ball put in at noon in the Zeno machine. ... All cases, all Zeno balls, are put in before noon. ...
    (sci.math)
  • Re: An uncountable countable set
    ... Tony Orlow wrote: ... There's no ball put in at noon in the Zeno machine. ... for an infinite vase. ...
    (sci.math)
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