YBM
Posts:
278
Registered:
11/27/09
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Re: Matheology § 162
Posted:
Nov 27, 2012 7:36 PM
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Le 27.11.2012 21:07, WM a écrit :
> On 27 Nov., 19:21, William Hughes <wpihug...@gmail.com> wrote:
>> On Nov 27, 2:11 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>>
>>
>>
>>
>>
>>> On 27 Nov., 18:42, William Hughes <wpihug...@gmail.com> wrote:
>>
>>>> On Nov 27, 4:37 am, WM <mueck...@rz.fh-augsburg.de> wrote:
>>
>>>> <snip>
>>
>>>>> According to set theory the limit set is empty.
>>
>>>> Indeed.
>>
>>> Nice to hear that.
>>
>>>> And the proof of this does not depend
>>>> on "actual infinity".
>>
>>> Of course it does, because every digits moves to the right side.
>>
>> Stick with
>>
>> 1
>> 10
>> 100
>> ....
>>
>> The 1 moves to the left.
>>
>> We do not have to check the positions one by one.
>> It is easy to show by induction (which requires only
>> potential infinity) that for each n in |N
>> the nth position is not occupied.
>
> Correct. Every position is unoccupied, but that does not mean that all
> positions are unoccupied
Oh dear, this is bad.
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