Re: Relative Cardinality

mueckenh@xxxxxxxxxxxxxxxxx wrote:
> > I also thought of another irrational number that escapes your logic.
> > Take the number:
> > 0.9909000900000009000... That is the number whose digital
> > representation has 9s in the places that are powers of 2. It is the
> > "sum(n=0 to oo) 9*10^(-(2^n))". So then I can say what the 10^10^100's
> > digit is, it is 0. Also the 2^100^100^100^100^100^100^100^100's digit
> > is 9. And the next digit after that is 0. I wonder why this number
> > doesn't exist and why it cannot be on any list.
>
> Interesting number. Thank you for posting this question which is one of
> the few non-polemic questions I received. Can you say which digit is on
> the position floor(pi*10^10^100)?

0, and it is not hard to see.

Jiri

.

Loading