Uirgil
Posts:
181
Registered:
4/18/12
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Re: Matheology � 152
Posted:
Nov 16, 2012 4:49 PM
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In article
<99101a42-d1ac-4b5e-94f9-23536fc64c89@d3g2000vbj.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 16 Nov., 13:58, William Hughes <wpihug...@gmail.com> wrote:
> > On Nov 16, 5:46 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> >
> >
> >
> >
> >
> > > 1. WM Profil anzeigen Übersetzen in die Sprache:
> > > DeutschÜbersetzt (Original anzeigen)
> > > Weitere Optionen 16 Nov., 10:35
> >
> > > Newsgroups: sci.logic, sci.math
> > > Von: WM <mueck...@rz.fh-augsburg.de>
> > > Datum: Fri, 16 Nov 2012 01:35:48 -0800 (PST)
> > > Lokal: Fr. 16 Nov. 2012 10:35
> > > Betreff: Matheology § 152
> > > Antworten | Antwort an Autor | Weiterleiten | Drucken | Einzelne
> > > Nachricht | Original anzeigen | Entfernen | Diese Nachricht melden |
> > > Nachrichten dieses Autors suchen
> > > Matheology § 152
> >
> > > Consider the following sequence of decimal numbers, consisting of
> > > digits 0 and 1
> >
> > > 01.
> > > 0.1
> > > 010.1
> > > 01.01
> > > 0101.01
> > > 010.101
> > > 01010.101
> > > 0101.0101
> > > ...
> >
> > > which, when indexed by natural numbers, yilooks like this:
> >
> > > 0_2 1_1 .
> > > 0_2 . 1_1
> > > 0_4 1_3 0_2 . 1_1
> > > 0_4 1_3 . 0_2 1_1
> > > 0_6 1_5 0_4 1_3 . 0_2 1_1
> > > 0_6 1_5 0_4 . 1_3 0_2 1_1
> > > 0_8 1_7 0_6 1_5 0_4 . 1_3 0_2 1_1
> > > 0_8 1_7 0_6 1_5 . 0_4 1_3 0_2 1_1
> > > ...
> >
> > > What is the limit of the sequence of the sets of indexes on the left
> > > hand side?
> >
> > A set.
>
> The empty set.
Claimed but not proven!
> >
> > > What is the limit of the decimal numbers?
> >
> > A value.
>
> Not a value, but infinity, i.e., the infinite of analysis: potential
> infinity, a continuous growth.
In standard mathematics, either a limit exists or it does not exist,
there is none of this potential but not actual nonsense.
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