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Topic: Matheology § 162
Replies: 78   Last Post: Dec 10, 2012 4:46 AM

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 162
Posted: Nov 29, 2012 4:49 PM

On 29 Nov., 19:12, mstem...@walkabout.empros.com (Michael Stemper)
wrote:
> In article <c89b62f0-d926-4b1b-a0ae-8d899d76f...@n8g2000vbb.googlegroups.com>, WM <mueck...@rz.fh-augsburg.de> writes:
>

> >On 29 Nov., 14:27, mstem...@walkabout.empros.com (Michael Stemper) wrote:
> >> In article <54e3fdd3-12f9-449e-8d84-ef2782e34...@a15g2000vbf.googlegroups.com>, WM <mueck...@rz.fh-augsburg.de> writes:
> >> >On 28 Nov., 19:20, mstem...@walkabout.empros.com (Michael Stemper) wrote:
> >> >> >Have you meanwhile convinced yourself that analysis is capable
> >> >> >expanding infinity

>
> >> >> "Expanding infinity"? What on Earth is that supposed to mean? In math,
> >> >> one is supposed to define their terms.

>
> >> >An expansion of a number is a power series giving its value.
>
> >> But, there is no such number as "infinity", so your words are still
> >> gibberish.

>
> >In set theory, there is such a number.
>
> Repeating a lie does not make it true. Set theory (at least ZF) does not
> have a number called "infinity".

There the number is called omega or aleph_0. That's but another name
for completed infinity.
>
> >                In analysis there is such an
> >improper limit,

>
> And the reason that it's called an "improper limit" is because limits
> are properly numbers, and it's not a number.

Not in anaysis. Therefore I said improper limit.
>
> >    an element of the extended reals.
>
> I've not studied the extended reals. I am aware that oo is an element of
> them. But, is it called a "number" in that case?

It is not of interest how it is called. But if some one calls it a
number, like Cantor who even talked about integers (ganze Zahl) then
it is called a number.

Regards, WM

Date Subject Author
11/25/12 mueckenh@rz.fh-augsburg.de
11/25/12 Roland Franzius
11/25/12 namducnguyen
11/26/12 mueckenh@rz.fh-augsburg.de
11/26/12 Virgil
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11/27/12 mueckenh@rz.fh-augsburg.de
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11/27/12 William Hughes
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11/27/12 William Hughes
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11/27/12 Virgil
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11/28/12 Virgil
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11/28/12 William Hughes
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11/28/12 William Hughes
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11/28/12 Michael Stemper
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Michael Stemper
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11/29/12 Michael Stemper
11/29/12 mueckenh@rz.fh-augsburg.de
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11/29/12 Virgil
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11/27/12 Virgil
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11/28/12 Virgil
11/27/12 Virgil
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11/27/12 Virgil
11/28/12 Michael Stemper
11/28/12 mueckenh@rz.fh-augsburg.de
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11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Virgil