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Topic: Matheology § 203
Replies: 3   Last Post: Feb 1, 2013 8:15 PM

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Alan Smaill

Posts: 757
Registered: 1/29/05
Re: Matheology § 203
Posted: Feb 1, 2013 10:38 AM
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William Hughes <wpihughes@gmail.com> writes:

> Let P(n) be
> 0.111... is not the nth line
> of
>
> 0.1000...
> 0.11000...
> 0.111000...
> ...
>
> Clearly for every natural number n
> P(n) is true.
>
> This means there is no natural
> number m for which P(m) is true.
>
> It is not simply that we cannot find m,
> we know that m does not exist.


Futhermore WM accepts, for example, that
for every natural number n, 2 * n is even.

Doesn't he?

But when asked how it is possible to know such a thing,
he falls strangely silent.

--
Alan Smaill



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