Re: infinity

Randy Poe said:
>
> David Kastrup wrote:
> > Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> writes:
> > > It's the balls inserted AT noon that still remain AT noon. That
> > > moment is where n becomes infinite.
> >
> > There are no balls inserted at noon. Every ball is inserted before
> > noon.
>
> Well, in TO-world, there are balls with infinite-digit
> natural labels inserted right at noon.
>
> But wait... since all balls are inserted at time (1/2)^n
> before noon, is TO saying that all infinite naturals n have
> the same value for 2^n?
Obviously, you mean for 1/2^n, and no, those "zeroes" differ by infinitesimal
amounts which distinguish them, as points on a line may be infinitesimal
distances apart.
>
> Aren't log2(N) and N two of the TO-infinite-naturals? Then,
> mirabile dictu, that gives me that 2^log2(N) = 2^N, or
> N = 2^N!
Duh. 2^log2(N)=N. Don't run so fast with an answer that you have pretended I
gave. Just because you have not distinguished between the infinite number of
moments at noon does not mean there is no distinction to be made.
>
> And also, taking the log2 of both sides, that
> log2(N) = N!
Yes, that would be silly. Luckily, that is not anything that I ever said. I
said quite the opposite.
>
> - Randy
>
>

--
Smiles,

Tony
.

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