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Topic: Matheology § 152
Replies: 53   Last Post: Nov 19, 2012 4:49 PM

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gus gassmann

Posts: 60
Registered: 7/26/12
Re: Matheology § 152
Posted: Nov 18, 2012 10:04 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 17/11/2012 11:34 PM, Virgil wrote:
> In article
> <126c3310-d023-4f33-9b13-6cac84751832@o8g2000yqh.googlegroups.com>,
> WM <mueckenh@rz.fh-augsburg.de> wrote:
>

>> On 17 Nov., 18:57, Uirgil <uir...@uirgil.ur> wrote:
>>

>>>>>> Consider the following sequence of decimal numbers, consisting of
>>>>>> digits 0 and 1

>>>
>>>>>> 01.
>>>>>> 0.1
>>>>>> 010.1
>>>>>> 01.01
>>>>>> 0101.01
>>>>>> 010.101
>>>>>> 01010.101
>>>>>> 0101.0101
>>>>>> ...

>>>
>>>>>> which, when indexed by natural numbers, yilooks like this:
>>>
>>>>>> 0_2 1_1 .
>>>>>> 0_2 . 1_1
>>>>>> 0_4 1_3 0_2 . 1_1
>>>>>> 0_4 1_3 . 0_2 1_1
>>>>>> 0_6 1_5 0_4 1_3 . 0_2 1_1
>>>>>> 0_6 1_5 0_4 . 1_3 0_2 1_1
>>>>>> 0_8 1_7 0_6 1_5 0_4 . 1_3 0_2 1_1
>>>>>> 0_8 1_7 0_6 1_5 . 0_4 1_3 0_2 1_1
>>>>>> ...

>>
>>> While every real mathematician knows
>>
>> This sequence grows without limit.

>>>
>>>> This can be proved by taking any number n and showing
>>>> that there is a number k such that all for terms a(j) of the sequence
>>>> with k > j we have a(j) > n. Proof: For given n take k = n + 10.

>>>
>>> ow does that work for the sequence a(j) = 0 for all j?

>>
>> Is 0 larger than any number n?

>
> There is no number which is larger than any number.


Ahem. Virgil, that is as nonsensical as anything WM spews forth.

First, you left out the 'n', which in the context of this exchange
clearly is meant to be integer. And yes, there are numbers that are
larger than every integer.

Consider also this: Let x be any number.
Then x+1 is larger than x.
You complete the syllogism...



Date Subject Author
11/16/12
Read Matheology § 152
mueckenh@rz.fh-augsburg.de
11/16/12
Read Re: Matheology § 152
William Hughes
11/16/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/16/12
Read Re: Matheology § 152
LudovicoVan
11/16/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/16/12
Read Re: Matheology � 152
Uirgil
11/16/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/16/12
Read Re: Matheology § 152
LudovicoVan
11/16/12
Read Re: Matheology � 152
Uirgil
11/16/12
Read Re: Matheology § 152
William Hughes
11/16/12
Read Re: Matheology � 152
Uirgil
11/17/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/17/12
Read Re: Matheology § 152
LudovicoVan
11/17/12
Read Re: Matheology § 152
LudovicoVan
11/17/12
Read Re: Matheology � 152
Uirgil
11/17/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/17/12
Read Re: Matheology � 152
Uirgil
11/17/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/17/12
Read Re: Matheology § 152
LudovicoVan
11/17/12
Read Re: Matheology § 152
William Hughes
11/17/12
Read Re: Matheology § 152
trj
11/17/12
Read Re: Matheology § 152
LudovicoVan
11/17/12
Read Re: Matheology § 152
William Hughes
11/17/12
Read Re: Matheology § 152
LudovicoVan
11/17/12
Read Re: Matheology � 152
Uirgil
11/17/12
Read Re: Matheology § 152
LudovicoVan
11/17/12
Read Re: Matheology � 152
Uirgil
11/17/12
Read Re: Matheology § 152
William Hughes
11/17/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/17/12
Read Re: Matheology § 152
William Hughes
11/18/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/18/12
Read Re: Matheology § 152
William Hughes
11/18/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/18/12
Read Re: Matheology § 152
William Hughes
11/18/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/18/12
Read Re: Matheology § 152
William Hughes
11/18/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/18/12
Read Re: Matheology � 152
Vurgil
11/18/12
Read Re: Matheology � 152
Vurgil
11/18/12
Read Re: Matheology � 152
Vurgil
11/19/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology � 152
Vurgil
11/18/12
Read Re: Matheology § 152
Ralf Bader
11/18/12
Read Re: Matheology � 152
Vurgil
11/19/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology � 152
Vurgil
11/17/12
Read Re: Matheology � 152
Uirgil
11/17/12
Read Re: Matheology � 152
Uirgil
11/17/12
Read Re: Matheology § 152
trj
11/17/12
Read Re: Matheology � 152
Uirgil
11/17/12
Read Re: Matheology � 152
Uirgil
11/17/12
Read Re: Matheology § 152
mueckenh@rz.fh-augsburg.de
11/17/12
Read Re: Matheology � 152
Virgil
11/18/12
Read Re: Matheology § 152
gus gassmann

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