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Topic: Matheology § 413
Replies: 13   Last Post: Jan 15, 2014 7:58 PM

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Virgil

Posts: 8,833
Registered: 1/6/11
Re: WMytheology � 413
Posted: Dec 31, 2013 4:12 PM
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In article <a4e927f5-0139-4094-87ec-e47412a42b70@googlegroups.com>,
mueckenh@rz.fh-augsburg.de wrote:

> Irrational numbers have no decimal (or binary or whatever
> integer-positive-base) expansion.


x = Sum 1/10^(n!) IS the expansion of a different irrational number in
every different base.

So in one line there are infinitely many counter-examples to WM's claim.


> It is impossible for an infinite list of
> decimals to appear in mathematical discourse, dialogue, or monologue other
> than as the finite rule how to calculate *every* decimal at a finite place
> but never *all* decimal, since beyond every finite index there are infinitely
> many further indices.


So in one line there are infinitely many counter-examples to WM's claim.
nswered: Both your assertions above are incorrect.
>
> Wouldn't that claim oblige him, in crank-free mathematics, to support his
> opinion by listing all decimals of a nonterminating decimal representation of
> a real number of his choice?


A finite rule for finding all infinitely many is quite sufficient
everywhere in the crank-free mathematics that exists only outside the
wild weird world of WMytheology.
--





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