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Topic: Matheology § 074
Replies: 114   Last Post: Jul 22, 2012 4:15 PM

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 LudovicoVan Posts: 4,164 From: London Registered: 2/8/08
Re: Matheology § 074
Posted: Jul 14, 2012 8:03 PM

"WM" <mueckenh@rz.fh-augsburg.de> wrote in message
> On 14 Jul., 20:01, "dilettante" <n...@nonono.no> wrote:
>> "WM" <mueck...@rz.fh-augsburg.de> wrote in message

>> > On 14 Jul., 18:38, "dilettante" <n...@nonono.no> wrote:
>>
>> >> "About that of which we cannot speak, we must remain silent."
>>
>> > That's why you are silent about mathematics, in this special case?
>>
>> > Mathematics, as I teach it gives the improper limit
>> > ((((((10^0)/10)+10^1)/10)+10^2)/10)+... = oo
>> > of the sequence

>>
>> > 1
>> > 0,1
>> > 10,1
>> > 1,01
>> > 101,01
>> > 10,101
>> > 1010,101
>> > 101,0101
>> > ...

>>
>> > Set theory gives 0.
>> > What is correct?

>>
>> The limit is infinity. Set theory says nothing different,

>
> Set theory says the limit is less than 1, because for every digit
> occuring left of the comma (the comma is taken from a German text,
> here representing a decimal point) the step can be determined, when
> this digit disappears right of the comma

That remains invalid reasoning, a paralogism that simply does not model the
problem: a sensible statement would be that for every digit that goes to the
right 2 more are added on the left, so that never all digits are on the
right.

Then, I have checked the definitions of limit inferior and superior: I can
see a problem when said limits are defined in terms of unions of
intersections and vice versa (entirely due to my limited understanding),
although it is apparent that the two limits must diverge, period.

-LV

Date Subject Author
7/13/12 mueckenh@rz.fh-augsburg.de
7/13/12 MoeBlee
7/13/12 Virgil
7/14/12 dilettante
7/14/12 LudovicoVan
7/14/12 dilettante
7/14/12 mueckenh@rz.fh-augsburg.de
7/14/12 LudovicoVan
7/14/12 Virgil
7/14/12 dilettante
7/14/12 mueckenh@rz.fh-augsburg.de
7/14/12 dilettante
7/14/12 LudovicoVan
7/14/12 Virgil
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 LudovicoVan
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 LudovicoVan
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 Virgil
7/15/12 LudovicoVan
7/15/12 Virgil
7/15/12 Virgil
7/15/12 Virgil
7/15/12 Virgil
7/15/12 Virgil
7/14/12 Virgil
7/14/12 dilettante
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 dilettante
7/15/12 Frederick Williams
7/15/12 dilettante
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 Virgil
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 dilettante
7/16/12 mueckenh@rz.fh-augsburg.de
7/16/12 LudovicoVan
7/16/12 mueckenh@rz.fh-augsburg.de
7/16/12 LudovicoVan
7/17/12 mueckenh@rz.fh-augsburg.de
7/17/12 Virgil
7/16/12 Virgil
7/16/12 Virgil
7/16/12 mueckenh@rz.fh-augsburg.de
7/16/12 Virgil
7/16/12 LudovicoVan
7/16/12 Virgil
7/16/12 LudovicoVan
7/16/12 LudovicoVan
7/16/12 Virgil
7/16/12 Virgil
7/17/12 William Hughes
7/18/12 mueckenh@rz.fh-augsburg.de
7/18/12 LudovicoVan
7/18/12 LudovicoVan
7/18/12 mueckenh@rz.fh-augsburg.de
7/18/12 LudovicoVan
7/18/12 Virgil
7/18/12 mueckenh@rz.fh-augsburg.de
7/18/12 Virgil
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 Virgil
7/18/12 Virgil
7/18/12 Virgil
7/16/12 Virgil
7/16/12 LudovicoVan
7/16/12 MoeBlee
7/16/12 Virgil
7/16/12 mueckenh@rz.fh-augsburg.de
7/16/12 Virgil
7/17/12 mueckenh@rz.fh-augsburg.de
7/17/12 Virgil
7/17/12 mueckenh@rz.fh-augsburg.de
7/17/12 Virgil
7/18/12 mueckenh@rz.fh-augsburg.de
7/18/12 Virgil
7/18/12 mueckenh@rz.fh-augsburg.de
7/18/12 Virgil
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 Virgil
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 Virgil
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 YBM
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 Virgil
7/19/12 FredJeffries@gmail.com
7/19/12 MoeBlee
7/19/12 Virgil
7/19/12 MoeBlee
7/20/12 mueckenh@rz.fh-augsburg.de
7/20/12 Virgil
7/20/12 mueckenh@rz.fh-augsburg.de
7/20/12 Virgil
7/20/12 mueckenh@rz.fh-augsburg.de
7/20/12 Virgil
7/21/12 mueckenh@rz.fh-augsburg.de
7/21/12 Virgil
7/22/12 mueckenh@rz.fh-augsburg.de
7/22/12 Virgil
7/20/12 Marshall
7/20/12 mueckenh@rz.fh-augsburg.de
7/20/12 YBM
7/20/12 Virgil
7/21/12 mueckenh@rz.fh-augsburg.de
7/15/12 Virgil
7/15/12 Virgil
7/15/12 Virgil
7/14/12 mueckenh@rz.fh-augsburg.de
7/14/12 dilettante
7/14/12 LudovicoVan
7/14/12 Virgil
7/14/12 Virgil