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Topic: Matheology � 258
Replies: 104   Last Post: May 5, 2013 2:26 PM

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 258
Posted: Apr 30, 2013 5:26 PM

On 30 Apr., 21:39, Virgil <vir...@ligriv.com> wrote:

> While it is not possible to write all digits of an irrational, it is
> possible, however tedious, to write the nth digit, for any n, which is
> all that is needed for the diagonal argument.

No. There remain infinitely many lines. And we can prove that in these
lines there are infinitely many diagonals such that for every n:
d_1, ..., d_n is in a line.

So, if d is not more than all its digits, d is in infinitely many
lines.

Regards, WM

Date Subject Author
4/29/13 Virgil
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