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Topic: Matheology § 233
Replies: 20   Last Post: Apr 4, 2013 10:16 AM

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William Hughes

Posts: 2,231
Registered: 12/7/10
Re: Matheology § 233
Posted: Apr 1, 2013 11:05 AM
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On Mar 27, 8:55 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> Matheology § 233
> The set of all termination decimals is a subset of Q. If the set of
> all terminating decimals of the unit interval is arranged as set of
> all terminating paths of the decimal tree,

It is, of course, impossible to write this out
(there number of terminating decimals is infinite).

> unavoidably all irrationals
> are written as infinite paths too. But we know that it is impossible
> to write the path of even one single irrational number, let alone of
> several or infinitely many or uncountably many.

Correct, it is impossible.

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