Re: An uncountable countable set

Virgil wrote:
In article <453e4a85@xxxxxxxxxxxxxxxxxxx>,
Tony Orlow <tony@xxxxxxxxxxxxx> wrote:

David Marcus wrote:
Tony Orlow wrote:
David Marcus wrote:
Tony Orlow wrote:
David Marcus wrote:
Tony Orlow wrote:
Your examples of the circle and rectangle are good. Neither has a height outside of its x range. The height of the circle is 0 at x=-1 and x=1, because the circle actually exists there. To ask about its height at x=9 is like asking how the air quality was on the 85th floor of the World Trade Center yesterday. Similarly, it makes little sense to ask what happens at noon. There is no vase at noon.
Do you really mean to say that there is no vase at noon or do you mean to say that the vase is not empty at noon?
If noon exists at all, the vase is not empty. All finite naturals will have been removed, but an infinite number of infinitely-numbered balls will remain.
"If noon exists at all"? How do we decide?

We decide on the basis of whether 1/n=0. Is that possible for n in N? Hmmmm......nope.
So, noon doesn't exist. And, there is no vase at noon. I thought you were saying the vase contains an infinite number of balls at noon.

If the vase exists at noon, then it has an uncountable number of balls labeled with infinite values. But, no infinite values are allowed i the experiment, so this cannot happen, and noon is excluded.

So did the North Koreans nuke the vase before noon?

The only relevant issue is whether according to the rules set up in the problem, is each ball inserted before noon also removed before noon?"

An affirmative confirms that the vase is empty at noon.
A negative directly violates the conditions of the problem.

How does TO answer?

You can repeat the same inane nonsense 25 more times, if you want. I already answered the question. It's not my problem that you can't understand it.
.

Relevant Pages

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  • Re: infinity
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