Re: * says: Definition: sum{i in N} i = 0
- From: Franziska Neugebauer <Franziska-Neugebauer@xxxxxxxxxxxxxxxxxxx>
- Date: Fri, 08 Jun 2007 10:34:16 +0200
WM wrote:
On 7 Jun., 17:48, Franziska Neugebauer <Franziska-
Neugeba...@xxxxxxxxxxxxxxxxxxx> wrote:
WM wrote:
AFIK Nicole d'Oresme was the first one to prove the divergence of
the harmonic series. I think I read it in Moritz Cantor's great
historical books. But I am not sure and too lazy to look it up.
If you doubt, however, then attend one of my lectures. I myself
prove it at least twice every year.
How many times do you want to repost? It is irrelevant to the
question whether he has "disproved" ***'s definition.
I think you should know that a divergent positive series cannot have
the sum 0.
A divergent series does not possess a defined value within the framework
used to determine its divergency at all.
Because: If it could, then also Cantor's diagonal number
could have the same value as thirteen different entries of his list,
or, to put it in other words, then the concept of infinity is as mad
as the madmathics of its adherents.
The diagonal number possesses a defined value since it _is_ convergent.
F. N.
--
xyz
.
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