Virgil
Posts:
6,970
Registered:
1/6/11
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Re: Matheology � 162
Posted:
Nov 29, 2012 6:22 PM
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In article
<c89b62f0-d926-4b1b-a0ae-8d899d76fa28@n8g2000vbb.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> 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.
There is no such single "number" in set theory, there are several sorts
of infiniteness in set theory, including at least countable infiniteness
and uncountable infiniteness.
> In analysis there is such an
> improper limit, an element of the extended reals.
That depends on how one "extends" the reals
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