```Date: Nov 16, 2012 8:34 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 152

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.>> > What is the limit of the decimal numbers?>> A value.Not a value, but infinity, i.e., the infinite of analysis: potentialinfinity, a continuous growth.And we see the poor numbers, which must hold the position on the lefthand side of the decimal point, existing without indices which havebeen stripped off. But what is a digit of a decimal number without itsindex? Shouldn't we call such numbers crippled numbers? Or is"mathematically challenged" the correct wording?Regards, WM
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