Re: Logarithm of transfinite numbers

Why didn't you address the problems I pointed out with your
solution? Does relabeling the balls after the fact make them
disappear?

Where the labels go, so go the balls. Yes, the balls disappear. Each
one is removed, one at a time, with Ball #n being removed at Iteration
#n in time T-1/2^n seconds. By the end of the process, they are gone.

Let me change the problem slightly. Suppose we put all th balls in a
Iteration #0, every one labelled from 1 onward to include every finite
natural number. Now with each iteration, we do not add any balls, we
just remove them: removing Ball #n at Iteration #n. Now the set is
only decreasing, not increasing 9 at a time like the original problem.
How many balls are left at the end this time? What does this say about
your theory?

Regards,

Jonathan Hoyle

.

Relevant Pages

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