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Topic: mathematical infinite as a matter of method
Replies: 25   Last Post: May 4, 2013 11:24 PM

 Messages: [ Previous | Next ]
 fom Posts: 1,968 Registered: 12/4/12
Re: mathematical infinite as a matter of method
Posted: May 2, 2013 10:13 PM

On 5/2/2013 7:53 PM, Hercules ofZeus wrote:
> On Apr 21, 5:39 pm, Virgil <vir...@ligriv.com> wrote:
>> In article <Me6dnerBAcAL8O7MnZ2dnUVZ_rWdn...@giganews.com>,
>>
>> fom <fomJ...@nyms.net> wrote:

>>> This is a easy, readable paper of the same
>>> title by Kanamori. A historical analysis
>>> of how infinity entered mathematical discourse.

>>
>>> http://kurt.scitec.kobe-u.ac.jp/~fuchino/xpapers/infinity.pdf
>>
>>> OP: Marc Garcia at FOM
>>
>>> (Virgil -- you will find a familiar proof
>>> at the bottom of page 5)

>>
>> Yes! A nice version of it, too.
>>
>> And a nice paper which shows just how far out of any real mathematics WM
>> has put himself.
>>

>
> there is no _method_ to any of it though...
>
> DEFINE digit1 is different to row1, digit2 is different to row2, and
> so on...
> therefore infinite strings are bigger sets than finite strings...
>
> Its merely ONTO, SURJECTIVE definitions thrown directly onto
> a good optical effect of looking down the infinite plane at an angle
>
> no new digit sequence is EVER constructed using this 'method' and this
> is provable.
>

Well, I am not sure as to which part you are objecting.

I know you have your own difficulties with the Cantor
diagonal argument.

I applaud you for recognizing the role of projective
geometry as the underlying basis of one-to-one
correspondence.

It is also the basis of classical negation.

news://news.giganews.com:119/Jr2dnbdYvtfPdlrNnZ2dnUVZ_t-dnZ2d@giganews.com

Date Subject Author
4/21/13 fom
4/21/13 Virgil
5/2/13 Hercules ofZeus
5/2/13 fom
5/2/13 Virgil
5/3/13 Graham Cooper
5/3/13 fom
5/3/13 Brian Q. Hutchings
5/3/13 Graham Cooper
5/3/13 fom
5/3/13 Graham Cooper
5/3/13 fom
5/3/13 fom
5/4/13 Graham Cooper
5/3/13 Graham Cooper
5/3/13 fom
5/3/13 Graham Cooper
5/4/13 fom
5/4/13 Graham Cooper
5/4/13 fom
5/4/13 Graham Cooper
5/4/13 fom
5/4/13 Graham Cooper
5/4/13 fom
5/4/13 Graham Cooper
5/3/13 Graham Cooper