In article <email@example.com>, WM <firstname.lastname@example.org> 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.